THERMODYNAMICS THERMOSTATISTICS AND AN INTRODUCTION TO SECOND EDITION. University of Pennsylvania
|
|
- Colin Lamb
- 5 years ago
- Views:
Transcription
1 THERMODYNAMICS AND AN INTRODUCTION TO THERMOSTATISTICS SECOND EDITION HERBERT B. University of Pennsylvania CALLEN JOHN WILEY & SONS New York Chichester Brisbane Toronto Singapore
2 CONTENTS PART I GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS Introduction The Nature of Thermodynamics and the Basis of Thermostatistics 2 1 THE PROBLEM AND THE POSTULATES The Temporal Nature of Macroscopic Measurements The Spatial Nature of Macroscopic Measurements The Composition of Thermodynamic Systems The Internal Energy Thermodynamic Equilibrium Walls and Constraints Measurability of the Energy Quantitative Definition of Heat-Units The Basic Problem of Thermodynamics The Entropy Maximum Postulates 27 2 THE CONDITIONS OF EQUILIBRIUM Intensive Parameters Equations of State Entropic Intensive Parameters Thermal Equilibrium-Temperature Agreement with Intuitive Concept of Temperature Temperature Units Mechanical Equilibrium Equilibrium with Respect to Matter Flow Chemical Equilibrium 56
3 Xii Contents 3 SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS The Euler Equation The Gibbs-Duhem Relation Summary of Formal Structure The Simple Ideal Gas and Multicomponent Simple Ideal Gases The "Ideal van der Waals Fluid" Electromagnetic Radiation The "Rubber Band" Unconstrainable Variables; Magnetic Systems Molar Heat Capacity and Other Derivatives 84 4 REVERSIBLE PROCESSES AND THE MAXIMUM WORK THEOREM Possible and Impossible Processes Quasi-Static and Reversible Processes Relaxation Times and Irreversibility Heat Flow : Coupled Systems and Reversal of Processes The Maximum Work Theorem Coefficients of Engine, Refrigerator, and Heat Pump Performance The Carnot Cycle Measurability of the Temperature and of the Entropy Other Criteria of Engine Performance ; Power Output and "Endoreversible Engines" Other Cyclic Processes ALTERNATIVE FORMULATIONS AND LEGENDRE TRANSFORMATIONS The Energy Minimum Principle Legendre Transformations Thermodynamic Potentials Generalized Massieu Functions THE EXTREMUM PRINCIPLE IN THE LEGENDRE TRANSFORMED REPRESENTATIONS The Minimum Principles for the Potentials" The Helmholtz Potential The Enthalpy; The Joule-Thomson or "Throttling" Process The Gibbs Potential ; Chemical Reactions Other Potentials Compilations of Empirical Data ; The Enthalpy of Formation The Maximum Principles for the Massieu Functions 179
4 Contents xin 7 MAXWELL RELATIONS The Maxwell Relations A Thermodynamic Mnemonic Diagram A Procedure for the Reduction of Derivatives in Single-Component Systems Some Simple Applications Generalizations : Magnetic Systems STABILITY OF THERMODYNAMIC SYSTEMS Intrinsic Stability of Thermodynamic Systems Stability Conditions for Thermodynamics Potentials Physical Consequences of Stability Le Chatelier's Principle ; The Qualitative Effect of Fluctuations The Le Chatelier-Braun Principle FIRST-ORDER PHASE TRANSITIONS First-Order Phase Transitions in Single-Component Systems The Discontinuity in the Entropy-Latent Heat The Slope of Coexistence Curves ; the Clapeyron Equation Unstable Isotherms and First-Order Phase Transitions General Attributes of First-Order Phase Transitions First-Order Phase Transitions in Multicomponent Systems-Gibbs Phase Rule Phase Diagrams for Binary Systems CRITICAL PHENOMENA Thermodynamics in the Neighborhood of the Critical Point Divergence and Stability Order Parameters and Critical Exponents Classical Theory in the Critical Region ; Landau Theory Roots of the Critical Point Problem Scaling and Universality THE NERNST POSTULATE Nernst's Postulate, and the Principle of Thomsen and Bertholot Heat Capacities and Other Derivatives at Low Temperatures The "Unattainability" of Zero Temperature SUMMARY OF PRINCIPLES FOR GENERAL SYSTEMS General Systems The Postulates 283
5 Xiv Contents 12.3 The Intensive Parameters Legendre Transforms Maxwell Relations Stability and Phase Transitions Critical Phenomena Properties at Zero Temperature PROPERTIES OF MATERIALS The General Ideal Gas Chemical Reactions in Ideal Gases Small Deviations from "Ideality"-The Virial Expansion The "Law of Corresponding States" for Gases Dilute Solutions : Osmotic Pressure and Vapor Pressure Solid Systems IRREVERSIBLE THERMODYNAMICS General Remarks Affinities and Fluxes Purely-Resistive and Linear Systems The Theoretical Basis of the Onsager Reciprocity Thermoelectric Effects The Conductivities The Seebeck Effect and the Thermoelectric Power The Peltier Effect The Thomsen Effect 324 PART II STATISTICAL MECHANICS 15 STATISTICAL MECHANICS IN THE ENTROPY REPRESENTATION : THE MICROCANONICAL FORMALISM 15.1 Physical Significance of the Entropy for Closed Systems 15.2 The Einstein Model of a Crystalline Solid 15.3 The Two-State System 15.4 A Polymer Model-The Rubber Band Revisited 15.5 Counting Techniques and their Circumvention ; High Dimensionality THE CANONICAL FORMALISM ; STATISTICAL MECHANICS IN HELMHOLTZ REPRESENTATION The Probability Distribution Additive Energies and Factorizability of the Partition Sum 353
6 Contents xa 16.3 Internal Modes in a Gas Probabilities'in Factorizable Systems Statistical Mechanics of Small Systems : Ensembles Density of States and Density-of-Orbital States The Debye Model of Non-metallic Crystals Electromagnetic Radiation The Classical Density of States The Classical Ideal Gas High Temperature Properties-TheL Equipartition Theorem ENTROPY AND DISORDER; GENERALIZED CANONICAL FORMULATIONS Entropy as a Measure of Disorder Distributions of Maximal Disorder The Grand Canonical Formalism QUANTUM FLUIDS Quantum Particles ; A "Fermion Pre-Gas Model" The Ideal Fermi Fluid The Classical Limit and the Quantum Criteria The Strong Quantum Regime ; Electrons in a Metal The Ideal Bose Fluid Non-Conserved Ideal Bose Fluids ; Electromagnetic Radiation Revisited Bose Condensation FLUCTUATIONS The Probability Distribution of Fluctuations Moments and The Energy Fluctuations General Moments and Correlation Moments VARIATIONAL PROPERTIES, PERTURBATION EXPANSIONS, AND MEAN FIELD THEORY The Bogoliubov Variational Theorem Mean Field Theory Mean Field Theory in Generalized Representation ; the Binary Alloy 449 PART III FOUNDATIONS 21 POSTLUDE: SYMMETRY AND THE CONCEPTUAL FOUNDATIONS OF THERMOSTATISTICS Statistics 455
7 XUi Contents 21.2 Symmetry Noether's Theorem Energy, Momentum and Angular Momentum ; the Generalized "First Law" of Thermodynamics Broken Symmetry and Goldstone's Theorem Other Broken Symmetry Coordinates-Electric and Magnetic Moments Mole Numbers and Gauge Symmetry Time Reversal, the Equal Probability of Microstates, and the Entropy Principle Symmetry and Completeness 469 APPENDIX A SOME RELATIONS INVOLVING PARTIAL DERIVATIVES 473 A.1 Partial Derivatives 473 A.2 Taylor's Expansion 474 A.3 Differentials 475 A.4 Composite Functions 475 A.5 Implicit Functions 476 APPENDIX B MAGNETIC SYSTEMS 479 GENERAL REFERENCES 485 INDEX 487
PH4211 Statistical Mechanics Brian Cowan
PH4211 Statistical Mechanics Brian Cowan Contents 1 The Methodology of Statistical Mechanics 1.1 Terminology and Methodology 1.1.1 Approaches to the subject 1.1.2 Description of states 1.1.3 Extensivity
More informationStatistical Mechanics
Franz Schwabl Statistical Mechanics Translated by William Brewer Second Edition With 202 Figures, 26 Tables, and 195 Problems 4u Springer Table of Contents 1. Basic Principles 1 1.1 Introduction 1 1.2
More informationSuggestions for Further Reading
Contents Preface viii 1 From Microscopic to Macroscopic Behavior 1 1.1 Introduction........................................ 1 1.2 Some Qualitative Observations............................. 2 1.3 Doing
More information1. Thermodynamics 1.1. A macroscopic view of matter
1. Thermodynamics 1.1. A macroscopic view of matter Intensive: independent of the amount of substance, e.g. temperature,pressure. Extensive: depends on the amount of substance, e.g. internal energy, enthalpy.
More informationTable of Contents [ttc]
Table of Contents [ttc] 1. Equilibrium Thermodynamics I: Introduction Thermodynamics overview. [tln2] Preliminary list of state variables. [tln1] Physical constants. [tsl47] Equations of state. [tln78]
More informationContents. 1 Introduction and guide for this text 1. 2 Equilibrium and entropy 6. 3 Energy and how the microscopic world works 21
Preface Reference tables Table A Counting and combinatorics formulae Table B Useful integrals, expansions, and approximations Table C Extensive thermodynamic potentials Table D Intensive per-particle thermodynamic
More informationPrinciples of Equilibrium Statistical Mechanics
Debashish Chowdhury, Dietrich Stauffer Principles of Equilibrium Statistical Mechanics WILEY-VCH Weinheim New York Chichester Brisbane Singapore Toronto Table of Contents Part I: THERMOSTATICS 1 1 BASIC
More informationfiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES
Content-Thermodynamics & Statistical Mechanics 1. Kinetic theory of gases..(1-13) 1.1 Basic assumption of kinetic theory 1.1.1 Pressure exerted by a gas 1.2 Gas Law for Ideal gases: 1.2.1 Boyle s Law 1.2.2
More informationINTRODUCTION TO о JLXJLA Из А lv-/xvj_y JrJrl Y üv_>l3 Second Edition
INTRODUCTION TO о JLXJLA Из А lv-/xvj_y JrJrl Y üv_>l3 Second Edition Kerson Huang CRC Press Taylor & Francis Croup Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group an Informa
More informationThermodynamics, Gibbs Method and Statistical Physics of Electron Gases
Bahram M. Askerov Sophia R. Figarova Thermodynamics, Gibbs Method and Statistical Physics of Electron Gases With im Figures Springer Contents 1 Basic Concepts of Thermodynamics and Statistical Physics...
More informationSyllabus and Topics Thermal Physics I Fall 2007
Syllabus and Topics 33-341 Thermal Physics I Fall 2007 Robert F. Sekerka 6416 Wean Hall, Phone 412-268-2362 sekerka@cmu.edu http://sekerkaweb.phys.cmu.edu August 27, 2007 Class Schedule: This class is
More informationFundamentals. Statistical. and. thermal physics. McGRAW-HILL BOOK COMPANY. F. REIF Professor of Physics Universüy of California, Berkeley
Fundamentals of and Statistical thermal physics F. REIF Professor of Physics Universüy of California, Berkeley McGRAW-HILL BOOK COMPANY Auckland Bogota Guatemala Hamburg Lisbon London Madrid Mexico New
More informationPart II Statistical Physics
Part II Statistical Physics Theorems Based on lectures by H. S. Reall Notes taken by Dexter Chua Lent 2017 These notes are not endorsed by the lecturers, and I have modified them (often significantly)
More informationChemical and Engineering Thermodynamics
Chemical and Engineering Thermodynamics Third Edition Stanley I. Sandler University of Delaware John Wiley & Sons, Inc. New York Chichester Weinheim Brisbane Singapore Toronto Contents NOTATION xv CHAPTER1
More informationCHEMICAL THERMODYNAMICS
CHEMICAL THERMODYNAMICS Basic Theory and Methods Sixth Edition IRVING M. KLOTZ Morrison Professor Emeritus Northwestern University ROBERT M. ROSENBERG MacMillen Professor Emeritus Lawrence University Visiting
More informationINTRODUCTION TO MODERN THERMODYNAMICS
INTRODUCTION TO MODERN THERMODYNAMICS Dilip Kondepudi Thurman D Kitchin Professor of Chemistry Wake Forest University John Wiley & Sons, Ltd CONTENTS Preface xiii PART I THE FORMALIS1VI OF MODERN THER1VIODYNAMICS
More informationHari Dass, N.D. The principles of thermodynamics digitalisiert durch: IDS Basel Bern
Hari Dass, N.D. The principles of thermodynamics 2014 digitalisiert durch: IDS Basel Bern Preface Guide for readers and teachers xiii xv Chapter 1 The Beginnings 1 1.1 Temperature and 2 1.1.1 Uniform temperature
More information01. Equilibrium Thermodynamics I: Introduction
University of Rhode Island DigitalCommons@URI Equilibrium Statistical Physics Physics Course Materials 2015 01. Equilibrium Thermodynamics I: Introduction Gerhard Müller University of Rhode Island, gmuller@uri.edu
More informationStatistical Mechanics
Statistical Mechanics Entropy, Order Parameters, and Complexity James P. Sethna Laboratory of Atomic and Solid State Physics Cornell University, Ithaca, NY OXFORD UNIVERSITY PRESS Contents List of figures
More informationList of Comprehensive Exams Topics
List of Comprehensive Exams Topics Mechanics 1. Basic Mechanics Newton s laws and conservation laws, the virial theorem 2. The Lagrangian and Hamiltonian Formalism The Lagrange formalism and the principle
More informationPHY 6500 Thermal and Statistical Physics - Fall 2017
PHY 6500 Thermal and Statistical Physics - Fall 2017 Time: M, F 12:30 PM 2:10 PM. From 08/30/17 to 12/19/17 Place: Room 185 Physics Research Building Lecturer: Boris Nadgorny E-mail: nadgorny@physics.wayne.edu
More informationPRINCIPLES OF PHYSICS. \Hp. Ni Jun TSINGHUA. Physics. From Quantum Field Theory. to Classical Mechanics. World Scientific. Vol.2. Report and Review in
LONDON BEIJING HONG TSINGHUA Report and Review in Physics Vol2 PRINCIPLES OF PHYSICS From Quantum Field Theory to Classical Mechanics Ni Jun Tsinghua University, China NEW JERSEY \Hp SINGAPORE World Scientific
More informationSyllabus and Topics Statistical Mechanics Thermal Physics II Spring 2009
Syllabus and Topics 33-765 Statistical Mechanics 33-342 Thermal Physics II Spring 2009 Robert F. Sekerka 6416 Wean Hall, Phone 412-268-2362 rs07@andrew.cmu.edu http://sekerkaweb.phys.cmu.edu January 12,
More informationSyllabus and Topics Statistical Mechanics Spring 2011
Syllabus and Topics 33-765 Statistical Mechanics Spring 2011 Robert F. Sekerka 6416 Wean Hall, Phone 412-268-2362 rs07@andrew.cmu.edu http://sekerkaweb.phys.cmu.edu January 10, 2011 Course and Credit:
More informationINDEX 481. Joule-Thomson process, 86, 433. Kosterlitz-Thouless transition, 467
Index accessible microstates, 173 183, 185, 196, 200, 201 additive random process, 146 adiabatic demagnetization, 235 expansion, 52, 61 process, 43 quasistatic, 49, 50 wall, 34 anharmonic oscillator, 349
More informationMolecular Driving Forces
Molecular Driving Forces Statistical Thermodynamics in Chemistry and Biology SUBGfittingen 7 At 216 513 073 / / Ken A. Dill Sarina Bromberg With the assistance of Dirk Stigter on the Electrostatics chapters
More informationSyllabus and Topics Statistical Mechanics Spring 2010
Syllabus and Topics 33-765 Statistical Mechanics Spring 2010 Robert F. Sekerka 6416 Wean Hall, Phone 412-268-2362 rs07@andrew.cmu.edu http://sekerkaweb.phys.cmu.edu January 10, 2010 Course and Credit:
More information(# = %(& )(* +,(- Closed system, well-defined energy (or e.g. E± E/2): Microcanonical ensemble
Recall from before: Internal energy (or Entropy): &, *, - (# = %(& )(* +,(- Closed system, well-defined energy (or e.g. E± E/2): Microcanonical ensemble & = /01Ω maximized Ω: fundamental statistical quantity
More informationThermodynamics and Statistical Physics WS 2018/19
Thermodynamics and Statistical Physics WS 2018/19 Roser Valentí Institute for Theoretical Physics Goethe University Frankfurt, Germany Manuscript of the ITP members Roser Valentí, Claudius Gros and, partly
More informationElementary Lectures in Statistical Mechanics
George DJ. Phillies Elementary Lectures in Statistical Mechanics With 51 Illustrations Springer Contents Preface References v vii I Fundamentals: Separable Classical Systems 1 Lecture 1. Introduction 3
More informationStatistical Mechanics I
Statistical Mechanics I Peter S. Riseborough November 15, 11 Contents 1 Introduction 4 Thermodynamics 4.1 The Foundations of Thermodynamics............... 4. Thermodynamic Equilibrium....................
More information2. Under conditions of constant pressure and entropy, what thermodynamic state function reaches an extremum? i
1. (20 oints) For each statement or question in the left column, find the appropriate response in the right column and place the letter of the response in the blank line provided in the left column. 1.
More informationIdeal Gas Laws Empirical Gas Laws The Mole Equations of State Dalton's Law The Mole Fraction Extensive and Intensive Variables Graham's Law of
Ideal Gas Laws Empirical Gas Laws The Mole Equations of State Dalton's Law The Mole Fraction Extensive and Intensive Variables Graham's Law of Effusion The Maxwell-Boltzmann Distribution A Digression on
More informationCH 240 Chemical Engineering Thermodynamics Spring 2007
CH 240 Chemical Engineering Thermodynamics Spring 2007 Instructor: Nitash P. Balsara, nbalsara@berkeley.edu Graduate Assistant: Paul Albertus, albertus@berkeley.edu Course Description Covers classical
More informationThermal and Statistical Physics Department Exam Last updated November 4, L π
Thermal and Statistical Physics Department Exam Last updated November 4, 013 1. a. Define the chemical potential µ. Show that two systems are in diffusive equilibrium if µ 1 =µ. You may start with F =
More information510 Subject Index. Hamiltonian 33, 86, 88, 89 Hamilton operator 34, 164, 166
Subject Index Ab-initio calculation 24, 122, 161. 165 Acentric factor 279, 338 Activity absolute 258, 295 coefficient 7 definition 7 Atom 23 Atomic units 93 Avogadro number 5, 92 Axilrod-Teller-forces
More informationShigeji Fujita and Salvador V Godoy. Mathematical Physics WILEY- VCH. WILEY-VCH Verlag GmbH & Co. KGaA
Shigeji Fujita and Salvador V Godoy Mathematical Physics WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA Contents Preface XIII Table of Contents and Categories XV Constants, Signs, Symbols, and General Remarks
More informationReview of differential and integral calculus and introduction to multivariate differential calculus.
Chemistry 2301 Introduction: Review of terminology used in thermodynamics Review of differential and integral calculus and introduction to multivariate differential calculus. The properties of real gases:
More informationTopics for the Qualifying Examination
Topics for the Qualifying Examination Quantum Mechanics I and II 1. Quantum kinematics and dynamics 1.1 Postulates of Quantum Mechanics. 1.2 Configuration space vs. Hilbert space, wave function vs. state
More informationThermodynamics (Lecture Notes) Heat and Thermodynamics (7 th Edition) by Mark W. Zemansky & Richard H. Dittman
Thermodynamics (Lecture Notes Heat and Thermodynamics (7 th Edition by Mark W. Zemansky & Richard H. Dittman 2 Chapter 1 Temperature and the Zeroth Law of Thermodynamics 1.1 Macroscopic Point of View If
More informationIdeal gas From Wikipedia, the free encyclopedia
頁 1 / 8 Ideal gas From Wikipedia, the free encyclopedia An ideal gas is a theoretical gas composed of a set of randomly-moving, non-interacting point particles. The ideal gas concept is useful because
More informationSteven W. Van Sciver. Helium Cryogenics. Second Edition. 4) Springer
Steven W. Van Sciver Helium Cryogenics Second Edition 4) Springer Contents 1 Cryogenic Principles and Applications 1 1.1 Temperature Scale 2 1.2 Historical Background 4 1.3 Applications for Cryogenics
More information18.13 Review & Summary
5/2/10 10:04 PM Print this page 18.13 Review & Summary Temperature; Thermometers Temperature is an SI base quantity related to our sense of hot and cold. It is measured with a thermometer, which contains
More informationPhase Transitions in Condensed Matter Spontaneous Symmetry Breaking and Universality. Hans-Henning Klauss. Institut für Festkörperphysik TU Dresden
Phase Transitions in Condensed Matter Spontaneous Symmetry Breaking and Universality Hans-Henning Klauss Institut für Festkörperphysik TU Dresden 1 References [1] Stephen Blundell, Magnetism in Condensed
More information(i) T, p, N Gibbs free energy G (ii) T, p, µ no thermodynamic potential, since T, p, µ are not independent of each other (iii) S, p, N Enthalpy H
Solutions exam 2 roblem 1 a Which of those quantities defines a thermodynamic potential Why? 2 points i T, p, N Gibbs free energy G ii T, p, µ no thermodynamic potential, since T, p, µ are not independent
More informationCHEMISTRY DEPARTMENT, PORTLAND STATE UNIVERSITY
CHEMISTRY DEPARTMENT, PORTLAND STATE UNIVERSITY CHEMISTRY 440/540, PHYSICAL CHEMISTRY. FALL, 2014 Venue: CR 250 Instructor: R. H. Simoyi (SB2 372) Syllabus: The chapters and page numbers referred to in
More informationSOLID STATE PHYSICS. Second Edition. John Wiley & Sons. J. R. Hook H. E. Hall. Department of Physics, University of Manchester
SOLID STATE PHYSICS Second Edition J. R. Hook H. E. Hall Department of Physics, University of Manchester John Wiley & Sons CHICHESTER NEW YORK BRISBANE TORONTO SINGAPORE Contents Flow diagram Inside front
More informationThermal & Statistical Physics Study Questions for the Spring 2018 Department Exam December 6, 2017
Thermal & Statistical Physics Study Questions for the Spring 018 Department Exam December 6, 017 1. a. Define the chemical potential. Show that two systems are in diffusive equilibrium if 1. You may start
More informationChemical, Biochemical, and Engineering Thermodynamics
Chemical, Biochemical, and Engineering Thermodynamics Fourth Edition Stanley I. Sandler University of Delaware John Wiley & Sons, Inc. Contents CHAPTER 1 INTRODUCTION 1 1.1 The Central Problems of Thermodynamics
More informationChapter 6. Phase transitions. 6.1 Concept of phase
Chapter 6 hase transitions 6.1 Concept of phase hases are states of matter characterized by distinct macroscopic properties. ypical phases we will discuss in this chapter are liquid, solid and gas. Other
More informationPhase Equilibria and Molecular Solutions Jan G. Korvink and Evgenii Rudnyi IMTEK Albert Ludwig University Freiburg, Germany
Phase Equilibria and Molecular Solutions Jan G. Korvink and Evgenii Rudnyi IMTEK Albert Ludwig University Freiburg, Germany Preliminaries Learning Goals Phase Equilibria Phase diagrams and classical thermodynamics
More informationPhys Midterm. March 17
Phys 7230 Midterm March 17 Consider a spin 1/2 particle fixed in space in the presence of magnetic field H he energy E of such a system can take one of the two values given by E s = µhs, where µ is the
More informationIntroduction to a few basic concepts in thermoelectricity
Introduction to a few basic concepts in thermoelectricity Giuliano Benenti Center for Nonlinear and Complex Systems Univ. Insubria, Como, Italy 1 Irreversible thermodynamic Irreversible thermodynamics
More informationStudents are required to pass a minimum of 15 AU of PAP courses including the following courses:
School of Physical and Mathematical Sciences Division of Physics and Applied Physics Minor in Physics Curriculum - Minor in Physics Requirements for the Minor: Students are required to pass a minimum of
More informationChapter 1 Introduction and Basic Concepts
Chapter 1 Introduction and Basic Concepts 1-1 Thermodynamics and Energy Application Areas of Thermodynamics 1-2 Importance of Dimensions and Units Some SI and English Units Dimensional Homogeneity Unity
More informationPreface Introduction to the electron liquid
Table of Preface page xvii 1 Introduction to the electron liquid 1 1.1 A tale of many electrons 1 1.2 Where the electrons roam: physical realizations of the electron liquid 5 1.2.1 Three dimensions 5 1.2.2
More informationCritical Exponents. From P. Chaikin and T Lubensky Principles of Condensed Matter Physics
Critical Exponents From P. Chaikin and T Lubensky Principles of Condensed Matter Physics Notice that convention allows for different exponents on either side of the transition, but often these are found
More informationOutline Review Example Problem 1. Thermodynamics. Review and Example Problems: Part-2. X Bai. SDSMT, Physics. Fall 2014
Review and Example Problems: Part- SDSMT, Physics Fall 014 1 Review Example Problem 1 Exponents of phase transformation : contents 1 Basic Concepts: Temperature, Work, Energy, Thermal systems, Ideal Gas,
More informationNANO/MICROSCALE HEAT TRANSFER
NANO/MICROSCALE HEAT TRANSFER Zhuomin M. Zhang Georgia Institute of Technology Atlanta, Georgia New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore
More informationIntroduction to Statistical Physics
Introduction to Statistical Physics Rigorous and comprehensive, this textbook introduces undergraduate students to simulation methods in statistical physics. The book covers a number of topics, including
More informationAUTHOR AND SUBJECT INDEX
253 AUTHOR AND SUBJECT INDEX Numbers" refer to sections, not pages. When the reference is to an author's name, the name is set in capital letters. Search hints: look for Carnot engine under Carnot, not
More informationThermodynamics & Statistical Mechanics SCQF Level 9, U03272, PHY-3-ThermStat. Thursday 24th April, a.m p.m.
College of Science and Engineering School of Physics H T O F E E U D N I I N V E B R U S I R T Y H G Thermodynamics & Statistical Mechanics SCQF Level 9, U03272, PHY-3-ThermStat Thursday 24th April, 2008
More informationTHERMODYNAMICS CONTENTS
1. Introduction HERMODYNAMICS CONENS. Maxwell s thermodynamic equations.1 Derivation of Maxwell s equations 3. Function and derivative 3.1 Differentiation 4. Cyclic Rule artial Differentiation 5. State
More informationPART I: PROBLEMS. Thermodynamics and Statistical Physics
Contents PART I: PROBLEMS 4. Thermodynamics and Statistical Physics Introductory Thermodynamics 4.1. Why Bother? (Moscow 4.2. Space Station Pressure (MIT) 4.3. Baron von Münchausen and Intergalactic Travel
More informationThermodynamics & Statistical Mechanics
hysics GRE: hermodynamics & Statistical Mechanics G. J. Loges University of Rochester Dept. of hysics & Astronomy xkcd.com/66/ c Gregory Loges, 206 Contents Ensembles 2 Laws of hermodynamics 3 hermodynamic
More informationPHASE TRANSITIONS AND CRITICAL PHENOMENA
INTRODUCTION TO PHASE TRANSITIONS AND CRITICAL PHENOMENA BY H. EUGENE STANLEY Boston University OXFORD UNIVERSITY PRESS New York Oxford CONTENTS NOTATION GUIDE xv PART I INTRODUCTION 1. WHAT ARE THE CRITICAL
More informationInternational Physics Course Entrance Examination Questions
International Physics Course Entrance Examination Questions (May 2010) Please answer the four questions from Problem 1 to Problem 4. You can use as many answer sheets you need. Your name, question numbers
More informationNanoscale Energy Transport and Conversion A Parallel Treatment of Electrons, Molecules, Phonons, and Photons
Nanoscale Energy Transport and Conversion A Parallel Treatment of Electrons, Molecules, Phonons, and Photons Gang Chen Massachusetts Institute of Technology OXFORD UNIVERSITY PRESS 2005 Contents Foreword,
More informationNON-EQUILIBRIUM THERMODYNAMICS
NON-EQUILIBRIUM THERMODYNAMICS S. R. DE GROOT Professor of Theoretical Physics University of Amsterdam, The Netherlands E MAZUR Professor of Theoretical Physics University of Leiden, The Netherlands DOVER
More informationPhysics 607 Exam 2. ( ) = 1, Γ( z +1) = zγ( z) x n e x2 dx = 1. e x2
Physics 607 Exam Please be well-organized, and show all significant steps clearly in all problems. You are graded on your work, so please do not just write down answers with no explanation! Do all your
More informationMany-Body Problems and Quantum Field Theory
Philippe A. Martin Francois Rothen Many-Body Problems and Quantum Field Theory An Introduction Translated by Steven Goldfarb, Andrew Jordan and Samuel Leach Second Edition With 102 Figures, 7 Tables and
More informationCHEM 231. Physical Chemistry I NJIT Fall Semester, Prerequisites: Chem 126 or 123, Phys 111 Co requisite: Math 211
CHEM 231 Physical Chemistry I NJIT Fall Semester, 2017 Prerequisites: Chem 126 or 123, Phys 111 Co requisite: Math 211 Textbook: Chapters to be covered: Instructor: Goals: Prerequisites: Course Outline:
More information424 Index. Eigenvalue in quantum mechanics, 174 eigenvector in quantum mechanics, 174 Einstein equation, 334, 342, 393
Index After-effect function, 368, 369 anthropic principle, 232 assumptions nature of, 242 autocorrelation function, 292 average, 18 definition of, 17 ensemble, see ensemble average ideal,23 operational,
More informationELECTROCHEMICAL SYSTEMS
ELECTROCHEMICAL SYSTEMS Third Edition JOHN NEWMAN and KAREN E. THOMAS-ALYEA University of California, Berkeley ELECTROCHEMICAL SOCIETY SERIES WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC PUBLICATION PREFACE
More informationPart1B(Advanced Physics) Statistical Physics
PartB(Advanced Physics) Statistical Physics Course Overview: 6 Lectures: uesday, hursday only 2 problem sheets, Lecture overheads + handouts. Lent erm (mainly): Brief review of Classical hermodynamics:
More informationChemical Engineering Thermodynamics
Chemical Engineering Thermodynamics P Liquid P x 1 sat P 1 T sat T 2 T x 1 T x 1 T y 1 Liquid Vapour sat P 2 P x 1 P y 1 P y 1 Vapour sat T 1 x, y 1 1 x, y 1 1 Pradeep Ahuja Contents CHEMICAL ENGINEERING
More informationIntroductory Physical Chemistry Final Exam Points of Focus
Introductory Physical Chemistry Final Exam Points of Focus Gas Laws: Understand the foundations of the basic SI units of Pressure and Temperature. Know and be able to use the ideal gas law. Know and be
More informationChap. 3. The Second Law. Law of Spontaneity, world gets more random
Chap. 3. The Second Law Law of Spontaneity, world gets more random Kelvin - No process can transform heat completely into work Chap. 3. The Second Law Law of Spontaneity, world gets more random Kelvin
More informationOutline Review Example Problem 1 Example Problem 2. Thermodynamics. Review and Example Problems. X Bai. SDSMT, Physics. Fall 2013
Review and Example Problems SDSMT, Physics Fall 013 1 Review Example Problem 1 Exponents of phase transformation 3 Example Problem Application of Thermodynamic Identity : contents 1 Basic Concepts: Temperature,
More informationIndex. a Anisotropic thermoelectric elements 147, 148 Archimedes principle b Benedicks effect 12 Bridgman effect 13
335 Index a Anisotropic thermoelectric elements 147, 148 Archimedes principle. 191 b Benedicks effect 12 Bridgman effect 13 c Cascaded thermoelectric generators 230 CHI See Constant heat input (CHI) model
More informationSection 3 Entropy and Classical Thermodynamics
Section 3 Entropy and Classical Thermodynamics 3.1 Entropy in thermodynamics and statistical mechanics 3.1.1 The Second Law of Thermodynamics There are various statements of the second law of thermodynamics.
More informationLecture 20: Spinodals and Binodals; Continuous Phase Transitions; Introduction to Statistical Mechanics
Lecture 20: 11.28.05 Spinodals and Binodals; Continuous Phase Transitions; Introduction to Statistical Mechanics Today: LAST TIME: DEFINING METASTABLE AND UNSTABLE REGIONS ON PHASE DIAGRAMS...2 Conditions
More informationPHYSICAL VAPOR DEPOSITION OF THIN FILMS
PHYSICAL VAPOR DEPOSITION OF THIN FILMS JOHN E. MAHAN Colorado State University A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Singapore Toronto CONTENTS
More informationA method to obtain thermodynamic fundamental equations. André Serrenho, Tânia Sousa, Tiago Domingos
A method to obtain thermodynamic fundamental equations. André Serrenho, Tânia Sousa, Tiago Domingos Environmental and Energy Section, DEM, Instituto Superior Técnico Av. Rovisco Pais, 1, 1049-001 Lisboa,
More informationCEMA SYLLABUS (RESTRUCTURED)
St. Xavier's College CEMA SYLLABUS (RESTRUCTURED) PHYSICAL CHEMISTRY SEMESTER - I Thermodynamics I a. Basic concepts and definitions Applicability of thermodynamics, thermodynamic systems and their classification,
More informationTest Exchange Thermodynamics (C) Test Answer Key
1 Test Exchange Thermodynamics (C) Test Answer Key Made by Montgomery High School montyscioly@gmail.com 2 Questions are worth between 1 to 3 points. Show calculations for all open-ended math questions
More informationTheoretical Statistical Physics
Theoretical Statistical Physics Prof. Dr. Christof Wetterich Institute for Theoretical Physics Heidelberg University Last update: March 25, 2014 Script prepared by Robert Lilow, using earlier student's
More information1 The fundamental equation of equilibrium statistical mechanics. 3 General overview on the method of ensembles 10
Contents EQUILIBRIUM STATISTICAL MECHANICS 1 The fundamental equation of equilibrium statistical mechanics 2 2 Conjugate representations 6 3 General overview on the method of ensembles 10 4 The relation
More informationIntroduction. Statistical physics: microscopic foundation of thermodynamics degrees of freedom 2 3 state variables!
Introduction Thermodynamics: phenomenological description of equilibrium bulk properties of matter in terms of only a few state variables and thermodynamical laws. Statistical physics: microscopic foundation
More informationSTATISTICAL MECHANICS & THERMODYNAMICS
UVA PHYSICS DEPARTMENT PHD QUALIFYING EXAM PROBLEM FILE STATISTICAL MECHANICS & THERMODYNAMICS UPDATED: OCTOBER 8 1. (a) For a gas of free electrons in d dimensions, compute the isothermal compressibility,
More informationThermodynamics of solids 5. Unary systems. Kwangheon Park Kyung Hee University Department of Nuclear Engineering
Thermodynamics of solids 5. Unary systems Kwangheon ark Kyung Hee University Department of Nuclear Engineering 5.1. Unary heterogeneous system definition Unary system: one component system. Unary heterogeneous
More informationPhase Diagrams: Conditions for Equilibrium (CfE)
Phase Equilibrium: Conditions for Equilibrium (CfE) Phase Diagrams: Conditions for Equilibrium (CfE) Write down the conditions for equilibrium for: a pure single phase system, a pure multi-phase system,
More informationNPTEL
NPTEL Syllabus Nonequilibrium Statistical Mechanics - Video course COURSE OUTLINE Thermal fluctuations, Langevin dynamics, Brownian motion and diffusion, Fokker-Planck equations, linear response theory,
More informationFundamentals and New Frontiers of Bose Einstein Condensation
Contents Preface v 1. Fundamentals of Bose Einstein Condensation 1 1.1 Indistinguishability of Identical Particles.......... 1 1.2 Ideal Bose Gas in a Uniform System............ 3 1.3 Off-Diagonal Long-Range
More informationCHEMICAL ENGINEERING THERMODYNAMICS. Andrew S. Rosen
CHEMICAL ENGINEERING THERMODYNAMICS Andrew S. Rosen SYMBOL DICTIONARY 1 TABLE OF CONTENTS Symbol Dictionary... 3 1. Measured Thermodynamic Properties and Other Basic Concepts... 5 1.1 Preliminary Concepts
More information1) K. Huang, Introduction to Statistical Physics, CRC Press, 2001.
Chapter 1 Introduction 1.1 Literature 1) K. Huang, Introduction to Statistical Physics, CRC Press, 2001. 2) E. M. Lifschitz and L. P. Pitajewski, Statistical Physics, London, Landau Lifschitz Band 5. 3)
More informationCONTENTS. Notes to Students Acknowledgments ABOUT THE AUTHORS UNIT I FIRST AND SECOND LAWS 1
CONTENTS PREFACE Notes to Students Acknowledgments ABOUT THE AUTHORS GLOSSARY NOTATION xvii xviii xviii xix xxi xxv UNIT I FIRST AND SECOND LAWS 1 CHAPTER 1 BASIC CONCEPTS 3 1.1 Introduction 5 1.2 The
More informationTeaching plan. Name of teacher: Hiyang Ramo Chothe. Paper : Network Analysis and Analog Electronics
Teaching plan Name of teacher: Hiyang Ramo Chothe 1. Course: B.SC.Programme, Electronics, Semester I September,2016 Paper : Network Analysis and Analog Electronics Junction Diode and its applications:
More informationFriedrich Schlogl. Probability and Heat
Friedrich Schlogl Probability and Heat Friedrich Schlogl Probability and Heat Fundamentals of Thermostatistics With 52 Figures Springer Fachmedien Wiesbaden GmbH AJlrjghtsreserved Springer Fachmedien Wiesbaden
More informationPhysics 119A Final Examination
First letter of last name Name: Perm #: Email: Physics 119A Final Examination Thursday 10 December, 2009 Question 1 / 25 Question 2 / 25 Question 3 / 15 Question 4 / 20 Question 5 / 15 BONUS Total / 100
More information