ERRATA For the book A farewell to Entropy, Statistical Thermodynamics Based on Information

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1 ERRAA For the book A farewell to Entropy, Statstcal hermodynamcs Based on Informaton Chapter : Page, lnes 4-6 of paragraph should be revsed to: hs defnton s vald wthout any reference to the atomc consttuency of matter,.e., delete but also f matter were not atomstc at all,.e., f matter were contnuous. Page 4, Fgure.: tle should be Charles rather than Charles; replace fgure (fgure attached). Page 5, equaton, Equaton (..8): delete, the equaton should be: m v k B = (..8) 3 Chapter : Page 40, st lne, fnal paragraph: should be greater than or equal to,.e., delete than. Page 46, fve lnes from the end: should be rests on our,.e., delete the. Page 48, 4 th & 5th lnes from the bottom: replace the sentence Each of these are ndstngushable wth a new sentence,.e., If the partcles are ndstngushable then each confguraton n Fgure.3 s counted twce. Page 5, 8 lnes from the top: Revse the exercse as follows: rs. A has two chldren. It s known that she has at least one boy. What s the probablty that she has two boys? Page 5, lnes from the bottom: Revse the two sentences as follows: rs. A has three chldren. It s known that she has at least one boy. Calculate. Page 80, Equaton (.7.9): Revse the second lne of equaton. he equaton should be: I A ( w) = 0 f ω A (.7.9) f ω A Page 83, Equaton (.7.3): fourth term on the st lne should be: [( X E( X )) ] E Page 97, lne above Equaton (.9.5), lne below Equatons (.9.6) & (.9.7), 4 th lne below Equaton (.9.9) and nd & 3 rd lnes above Equaton (.9.0): It should be rv,.e., the letters r and v (a small letter r and a regular, small letter v) nstead of a Greek ν. Page 98, st lne of the page, st lne below Equaton (.9.), last two lnes at the bottom of the page: It should be rv,.e., the letters r and v (a small letter r and a regular, small letter v) nstead of a Greek ν.

2 Page 99, lne below Equaton (.9.6): It should be rv,.e., the letters r and v (a small letter r and a regular, small letter v) nstead of a Greek ν. Page 00, delete the < p : Revsed equaton should be: ε < n( A) p < ε (.0.4) Page 0, Equaton (.0.8): the nd of the two terms on the last lne should be: ε erf pq.e., a mnus sgn s requred n the functon argument. Last lne of equaton (.0.8) should be: = erf Chapter 3 ε ε erf = erf ε = pq pq pq Page 06, Fgure 3.: the ordnal numberng n (b) s wrong,.e., t should read 7 th, 6 th, 5 th, 4 th, 3 rd (fgure attached). Page 0, last paragraph: Revse Shannons quotaton to: or of how uncertan we are, delete much. Page 3, Equaton (3..84): Replace on the left hand sde I ( X ; ; ) P ( x,, ) L x L X wth Page 3, lne before Equaton (3..53): It should be We defne nstead of We defned. Page 37, Equaton (3..84): Revse equaton to: ( x) + λ + x log λ (3..84) f Page 44, 7 th lne from the bottom: It should be here are an nfnte nstead of here are a nfnte. Page 47, Equaton (3.4.6) revse to: Replace subscrpt log( ) wth ( p ) p p wth p or replace log ; add the lne for all after the 0 n λ 0 ; Page 47, lne below Equaton (3.4.6) should be revsed to or equvalently; Page 47, on the rght-hand sde of Equaton (3.4.8), replace exp wth exp he whole term on the rhs should be [ ] exp[ λ ] = = exp λ (3.4.8)

3 3 Page 47, on the rght hand sde of Equaton (3.4.9) revse to: x x (.e. delete the ) n the denomnator. 6 Page 56, Equaton (3.5.0). Replace: <, < wth < H, < 7 7.e., add an H before the parenthess. Page 60, 5 th lne from the top. Replace: P( G K ) Wth: P( G K ) / 3 / Page 60, on the left hand sde of Equaton (3.5.3). Replace: = Wth: = Page 66, lne after Equaton (3.5.50). Replace ganng at the thrd step wth ganng the nformaton at the thrd step. Page 67, st lne. Replace P ( G / ) Wth: P ( G / ) Page 7, frst lne of equaton (3.6.5). Replace: log P ( + C) Wth: log P ( + / C).e., add slash. Chapter 4: Page 80, 4 th lne from the bottom. Replace ste, ( j) wth ( j) two spaces). Page 84, Equaton (4..5). Replace: Wth: P L P L, (.e., nsert Page 84, lne after Equaton (4..7) should be However, for rather than However, for an,.e., delete an. Page 85, frst lne of equaton (4.0). Replace: H ( ) Wth: H ( ) = (.e., replace n by.) n =

4 4 Page 85, Equaton (4..0). Replace:! log!( )! Wth:! log!( )!.e., nstead of, t should be. Page 85, Equaton (4..), nd lne, delete (4..) should be: >> log. Second lne of Equaton!! = log log = log! (4..) ( )! Page 87, lne after Equaton (4..3): It should be from (4..) nstead of from (4..). Page 89, st lne above (4..). In the denomnator replace wth + + L + + L Page 9, st lne above (4..4). In the denomnator of the second term, replace wth + L + L Page 9, Equaton (4..5), replace S wth H. Page 9, th lne above the footnote : It should be lgand and not lgands, delete the s. Page 94, nd lne from the top: It should be amount of mssng nformaton,.e., nsert mssng. Page 98, on the rhs of Equaton (4..30). Replace: log[ x log x + x x ] Wth: [ x log x + x x ] log log Page 05, lne after Equaton (4.3.0): It should be v nstead of v I,.e., the subscrpt should be the number one and not a bg letter I. he revsed lne should be:

5 5 where v v, L, = v. All lower case vs should be n bold rendton. Page 09, left hand sde of both equatons (4.4.) ans (4.4.3) add mnus sgn,.e., Chapter 5: s βµ = (4.4.) E, βµ =... (4.4.3) Page 5, 9 th lne, nd paragraph: It should be calculated nstead of calculatng,.e., average quanttes calculated from Page 8, three lnes after Equaton (5.3.); Insert functon after partton,.e., quantum mechancal partton functon replacng Page 49, Equatons (5.8.8) & (5.8.9): It should be exp nstead of exp,.e., no talcs. Chapter 6: Page 70, 7 th lne above Equaton (6.6.): Delete one of the nto; there appears two of them,.e., revsed lne should read: same knd are assmlated nto each other Page 74, nd lne from above the footnote: It should be partcles ntally,.e., add the number to n the begnnng of the sentence. Page 75, nd lne below the last lne of Fgure capton 6.0: Enclose the word reverse n quotaton marks,.e., reverse and put a footnote number after VIIb. Correspondng footnote copy should be: VIIb s not the reverse of VIIa. Here, we use the term reverse n the sense of gong back from a square to a crcle, rather than from a crcle to a square as n VIIa. Page 78, last & nd lnes from the bottom: It should be, A-partcles and partcles,.e., put a comma after A B, B- A, and add a letter A and a hyphen before the word partcles as t appears above; and then add a hyphen after the letter B before the word partcles, also as t appears above. Page 90, Equaton (6.0.): n the second g ( R, R ) a comma s mssng; add a comma. Page 9, 6 th lne above the footnote: It should be ( ) / pars nstead of ( ) / pars. he lne should read: ( ) / pars to ( ) / pars Page 94, 3 rd lne after Equaton (6..): It should be (6..) nstead of (6.0.). Page 304, st lne after Equaton (6..): Instead of er f ( δ ) erf ( δ ). t should be

6 Page 3, pont (), 4 th dstrbuton of momenta mght also change lne: It should be change nstead of changes,.e., Page 33, 4 th lne, 3 rd paragraph: It should be However, the I s not equal to,.e., nsert not. Page 33, 4 lnes before (6..9): It should be evolve towards nstead of evolve forwards. Page 36, fnal sentence before the quotaton: replace then wth than,.e., I cannot do any better than Appendces: Page 39, 3 rd lne: It should be all of equal,.e., delete the Page 333, Equaton (G.) should be: F x Equaton (G.) should be: F = y + λ x = 0, = x + λ y = 0 y y λ =, x x λ = y Page 334, Fgure H.: he ttle should be A concave downward functon nstead of A convex downward functon. Page 337, st lne last paragraph: In f ( x) s there should be more space between f ( x) and the word s; Page 339, lne below (H.5), leave more spaces n between j ( j =, L) both. 6 ; apples to Page 343, 6 th & 7 th lnes above the footnote: It should be we cannot fnd a label that dstngushes between the two..e., delete yet does not affect ther beng dentcal. Page 348, Equaton (J.3): All lower lmts of the ntegrals of the ntegrals are zero,.e., L 0 L X 0 L X Page 358, three lnes after (.3): It should read partcles,.e., nsert s,.e., generc event n partcles n R Page 359, 3 rd lne from the end: It should be decreases rather than decrease,.e., probablty decreases wth Page 373, add reference (after Brdgman): Callen, H.B. (985), hermodynamcs and an Introducton to hermostatstcs, nd edton, John Wley, ew York 0

7 7 Page 379, add reference (n between Carnot and Denbgh): Davd, F.. (96), Games, God and Gamblng, A Hstory of Probablty and Statstcal Ideas, Dover Publ., ew York Acknowledgement: Add to the acknowledgement n the Preface: hanks to John Chasson, Steven von Enk, Swam Iyer, ax oroz and Paul Kng.

8 50 Charles ' Law V t C

9 a 3rd nd Frst Queston b th 6th 5th 4th 3rd nd Frst Queston Fgure 3.