References. Publishing, Oxford, 1987)

Transcription

1 References 1. P.G. de Gennes: Scaling Concepts in Polymer Physics (Cornell University Press, 1979) 2. P.M. Chaikin and T.C. Lubensky: Principles of Condensed Matter Physics (Cambridge University Press, 1995) 3. M. Daoud and C.E. Williams (Eds.): Soft Matter Physics (Springer-Verlag, 1995) 4. I.W. Hamley: Introduction to Soft Matter (Wiley, 2000) 5. G.R. Strobl: The Physics of Polymers (Springer-Verlag, 1996) 6. M. Doi and S.F. Edwards: The Theory of Polymer Dynamics (Oxford Science Publishing, Oxford, 1986) 7. R.G. Larson: The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999) 8. A.S. Lodge: Elastic Liquids (Academic Press, London, 1964) 9. G. Gompper and M. Schick: In: Phase Transitions and Critical Phenomena, Vol. 16, ed. by C. Domb and J.L. Lebowitz (Academic Press, London, 1994) 10. J. Meunier et al. (Eds.): Physics of Amphiphilic Layers (Springer, 1987) 11. P.G. de Gennes and J. Prost: The Physics of Liquid Crystals (Oxford Science Publications, 1993) 12. H. Takayasu: Fractals (Asakura-Shoten, 1986) (in Japanese) 13. L.D. Landau and I.M. Lifshitz: Statistical Physics (Butterworth Heinemann, 1984) 14. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Science Publishing, Oxford, 1989) 15. H. Yamakawa and G. Tanaka: J. Chern. Phys. 47, 3991 (1967) 16. D.W. van Krevelen: Properties of Polymers (Elsevier, 1990) 17. N.G. van Kampen: Stochastic Proccesses in Physics and Chemistry (North- Holland, Amsterdam, 1981) 18. G. Ronca: J. Chern. Phys. 79, 1031 (1983) 19. J.F. Marko and E.D. Siggia: Macromolecules 28, 8759 (1995) 20. M.P. Allen and D.J. Tildesley: Computer Simulation of Liquids (Oxford Science Publishing, Oxford, 1987) 21. K. Binder (Ed.): Monte Carlo and Molecular Dynamics Simulations in Polymer Science (Oxford Science Publishing, Oxford, 1995) 22. R.P. Feynman and A.R. Hibbs: Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965) 23. F.W. Wiegel: Introduction to Path-Integral Methods in Physics and Polymer Science (World Scientific, Singapore, 1986) 24. S.T. Milner, T.A. Witten and M.E. Cates: Macromolecules 21, 2610 (1988)

2 212 References 25. KM. Hong and J. Noolandi: Macromolecules 14, 727 (1981) 26. G.J. Fleer, M.A. Cohen-Stuart, J.M.H.M. Scheutjens, T. Cosgrove and B. Vincent: Polymers at Interfaces (Chapman & Hall, London, 1993) 27. M.W. Matsen and M. Schick: Phys. Rev. Lett. 72, 2660 (1994) 28. W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery: Numerical Recipes in C (Cambridge University Press, 1992) 29. J.G.E.M. Fraaije: J. Chern. Phys. 99, 9202 (1993) 30. A.V. Zvelindovsky, G.J.A. Sevink, B.A.C. van Blimmeren, N.M. Maurits and J.G.E.M. Fraaije: Phys. Rev. E 57, R4879 (1998) 31. H. Morita, T. Kawakatsu and M. Doi: Macromolecules 34, 8777 (2001) 32. D. Broseta, G.H. Fredrickson, E. Helfand and L. Leibler: Macromolecules 23, 132 (1990) 33. E. Helfand and Z.R Wasserman: In: Developments in Block Copolymers, Vol. I, ed. by I. Goodman (Elsevier, New York, 1982) 34. T. Ohta and K Kawasaki: Macromolecules 19, 2621 (1986) 35. H.S.M. Coxeter: Introduction to Geometry (John Wiley and Sons, New York, 1965) 36. U. Seifert: Adv. Phys. 46, 13 (1997) 37. F.S. Bates, W.W. Maurer, P.M. Lipic, M.A. Hillmyer, K Almdal, K Mortensen, G.H. Fredrickson and T.P. Lodge: Phys. Rev. Lett. 79, 849 (1997) 38. P. Hohenberg and W. Kohn: Phys. Rev. B 136, 864 (1964) 39. L. Leibler: Macromolecules 13, 1602 (1980) 40. G.H. Fredrickson and E. Helfand: J. Chern. Phys. 87, 697 (1987) 41. T. Kawakatsu, R Hasegawa and M. Doi: Int. J. Mod. Phys. C 10, 1531 (1999) 42. S. Qi and Z.-G. Wang: Phys. Rev. E 55, 1682 (1997) 43. S. Onogi, T. Masuda and K Kitagawa: Macromolecules 3, 109 (1970) 44. K Osaki, K Nishizawa and M. Kurata: Macromolecules 15, 1068 (1982) 45. J. des Cloizeaux: Europhys. Lett. 5, 437 (1988) 46. C.C. Hua and J.D. Shieber: J. Chern. Phys. 109, (1998) 47. D.W. Mead, RG. Larson and M. Doi: Macromolecules 31, 7895 (1998) 48. K Kawasaki and A. Onuki: Phys. Rev. A 42, 3664 (1990) 49. T. Shima, H. Kuni, Y. Okabe, M. Doi, X.-F. Yuan and T. Kawakatsu: Macromolecules 36, 9199 (2003)

3 Index actin filament 7,84,90 action 109 adiabatic approximation 76 amphiphilic molecule 137,149 backbone 9 bead-spring model 35 bending elastic energy 146 bending elasticity 84 biopolymers 90 block copolymers 12 block ratio 143 bond 18 bond orientation tensor 193 branched polymer 151 Brownian dynamics method 95 Brownian motion 62 central limiting theorem 32,33 chain retraction 202 chain topology 19 Chapman-Kolmogorov relation 107 x-parameter 60 classical limit 111,112 coarse graining 81 coarse-grained model 34 coarse-grained segment 34 coefficient of viscosity 72 coil state 24 coil-globule transition 25 compatibilizers 149 compatibilizing effect 149 complex fluid 1 complex system 2 computer simulation 95 concentrated solution 55 configuration 12, 19 conformation 12,19 constant mean curvature surface 147 constitutive equation 188 constraint release 202, 206 continuous phase transition 155 continuum limit 45 contour length fluctuation 202 copolymer 12,19 correlation function 43 covariance matrix 195 creep measurement 182 critical micelle concentration 137 phenomenon 154 point 102 temperature 155 cumulant 159,160 expansion 160 curvature 85,86 Debye function 45 deformation velocity tensor 188 delta functional 129 density functional theory 158 depletion effect 115 layer 115 die swell 181 diffusion 10 constant 22 dilute solution 54 Dirac delta-function 30 discretization 137 DNA 7,84,90 double reptation 206 droplet 5 dyadic product 66, 108 dynamic elasticity measurement 182

4 214 Index effective bond length 36 Einstein's relation 65,66 elastic body 180 elastic modulus 72, 182 elastic scattering 43 elasticity 72 emulsion 5 end-to-end distance 26 end-to-end vector 26 equation of continuity 186 excess free energy 158 excluded volume chain 21,37,49 excluded volume effect 21 excluded volume parameter 22, 49 FENE potential 96 Fick's law 141 filler 136 finite difference equation 138 first order phase transition 156 fixed point 51 Flory exponent 52 Flory-Huggins free energy 58 Flory-Huggins-de Gennes model 168, 169 fluctuating force 63 fluctuation-dissipation theorem 64 fluid particle 187 flux 64 Fokker-Planck equation 62,64 form factor 139 Fourier transform 39 fractal curve 22 fractal structure 41 free draining 69 free energy 126 landscape 177 full atomistic model 80 functional 122, 126 functional derivative 122, 124 functional group 9 functional integral 125 functional Taylor series expansion 125 gauche conformation 81 Gaussian chain 17,40 Gaussian chain model 15 Gaussian curvature 146,147 Gaussian integral 32 Gaussian stochastic variable 195 gel 5 Ginzburg-Landau free energy 162 Ginzburg-Landau theory 49,153 globular state 12, 24 good solvent 24 grafting density 113 gyroid 144 hard core 23 Helfrich's bending energy model 146 homopolymer 12 Hookian elastic body 180 hydrodynamic interaction 74 hydrodynamically equivalent sphere 78 ideal chain 21, 37 incompressibility condition 74 inelastic scattering 43 interface 136 interfacial energy 145 interfacial tension 145, 171 intermediate scattering function 71, 73 isochronisms of pendulum 116 isotropic tensor 194 iteration method 135 junction point 204 kinetic coefficient 142 Koch curve 41 Kuhn length 82,84 Lagrangian multiplier 134 Langevin equation 62, 63 lattice model 18 lattice random walk model 22 Legendre transformation 131 Lennard-Jones potential 23 light scattering 43 linear elastic body 180 linear response theory 162, 163 linear viscoelastic body 189 linear viscosity 75 linear viscous fluid 180 local equilibrium 134 local potential 169

5 Index 215 loss modulus 72, 184 Maxwell model 189 mean curvature 146,147 mean field 105 approximation 37,50,103, 105 theory 49 melt brush 115 mesoscopic scales 2,8 micelle 137 microemulsion 5 microemulsion phase 151 microphase separation 102, 139, 142 microphase-separated structure 139 minimal surface 147 mixing entropy 57 molecular aggregate 136, 139 molecular dynamics method 95 molecular weight 19 monomer 9,18 Monte Carlo method 95 natural coordinate 86 nearest neighbor lattice sites 18 neutron scattering 43 Newtonian fluid 180 non-draining 70 nonlinear viscoelasticity 189, 201 normal vector 86 number of segments between entanglement points 192 ordered bicontinuous double diamond 144 Oseen tensor 74, 76 overlapping density 54 path integral 105, 107 path integral representation 106 perforated lamellar 144 permutation 39 persistence length 82 perturbation theory 49, 53 phantom chain 70 phase separation 10,101,136 physical properties 10 polyelectrolyte 84 polymer 4 brush 112, 136 melt 55 solution 54 polymerization reaction 9 poor solvent 24 pre-averaging approximation 78 primary structure 12 principal curvatures 146 projection operator 76, 77 quantum mechanics 110 radius of gyration 27 random coil 21 random coil state 12 random copolymers 12 random flight model 22 random phase approximation 48,54, 162 random walk 21 realistic chain 21 renormalization group theory 50,51 repeating unit 9, 18 reptation 97 theory 72, 186, 190 time 197 Rouse mode 67 Rouse model 67 Rouse time 70 rubber-elasticity plateau 185 scale free 40 scaling 27 scaling exponent of ideal chain 27 scaling property 40 scattering experiments 43 scattering function 47 Schrodinger equation 110 screen 55 screening effect 52,55, 105 second order phase transition 155 second virial coefficient 24 segment 18 interaction parameter 58 volume fraction 56 self-avoiding random walk 21 self-consistent field 105,106 self-consistent field theory 21,49,103, 106 self-similar pattern 41

6 216 Index semi-dilute solution 54 semi-flexible chain 84 shear stress 179 size of the coarse-grained segment 35 space-time correlation function 73 spinodal point 162 spontaneous curvature 146 square gradient energy 168 statistical independence 29 steepest descent method 130 step deformation 182 step strain 189 Stirling's formula 57 stochastic differential equation 63 Stokes approximation 75, 186 Stokes equation 75 storage modulus 72,184 strain 180 stress relaxation function 189 measurement 182 strong segregation 145, 153 structure factor 139 subchain 106 surface active effect 149 surfactant 149 survival probability of the tube 201 swelling 21 swollen brush 115 TDGL model 174 tensor 194 thermodynamic limit 32 {i-solvent 24 {i-temperature 25 time-dependent Ginzburg-Landau model 174 trans conformation 81 Trotter formula 109 unit tangent vector 86 united atom model 81 van der Waals force 23 velocity gradient tensor 187 viscoelastic body 71,179,180 viscoelasticity 1,4, 179 viscosity 72 viscous fluid 179 Voigt model 190 volume force 75 weak segregation 153 Wick's Theorem 39 Wiener-Khinchin relation 47 worm-like chain 84 X-ray scattering 43 Zimm model 78