Scaling theory of polymer thermodiffusion

Physica A: Statistical Mechanics and its Applications

Volumn 389, Issue 21, 2010, Pages 4545-4551

  Bringuier, E ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

Polymer; Scaling; Soret effect; Thermodiffusion; Thermophoresis

Indexed keywords

CHAIN LENGTH; EQUATIONS OF MOTION; FRICTION; SOLVENTS; THERMAL DIFFUSION IN LIQUIDS; THERMAL GRADIENTS; THERMOPHORESIS;

EQUATION OF MOTION; EQUILIBRIUM DISTRIBUTIONS; LINEAR POLYMER CHAINS; SCALING; SORET EFFECTS; THERMODIFFUSION; THERMODIFFUSION COEFFICIENTS; THERMOPHORETIC FORCE;

POLYMERS;

EID: 77956173333     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.06.035     Document Type: Article

References (33)

1. G. Meyerhoff, and K. Nachtigall Diffusion, thermodiffusion, and thermal diffusion of polystyrene in solution J. Polymer Sci. 57 1962 227 239
2. M.E. Schimpf, and J.C. Giddings Characterization of thermal diffusion in polymer solutions: dependence on polymer and solvent parameters J. Polymer Sci. B 27 1989 1317 1332
3. M. Martin, C. van Batten, and M. Hoyos Determination of thermodiffusion parameters from thermal field-flow fractionation retention data W. Khler, S. Wiegand, Thermal Nonequilibrium Phenomena in Fluid Mixtures 2002 Springer Berlin 250 284
4. D. Stadelmaier, and W. Khler From small molecules to high polymers: investigation of the crossover of thermal diffusion in dilute polystyrene solutions Macromol. 41 2008 6205 6208
5. D. Stadelmaier, and W. Khler Thermal diffusion of dilute polymer solutions: the role of chain flexibility and the effective segment size Macromol. 42 2009 9147 9152
6. F. Brochard, and P.-G. de Gennes Effet Soret des macromolcules flexibles C. R. Acad. Sci. Paris (Srie 2) 293 1981 1025 1027 The article can be found at http://gallica.bnf.fr/?&lang=EN by searching "Comptes Rendus Acadmie Sciences"
7. C. Kittel Elementary Statistical Physics 1958 Wiley New York (Chapter 33)
8. B.D. Coleman, and C. Truesdell On the reciprocal relations of Onsager J. Chem. Phys. 33 1960 28 31
9. E. Bringuier On the notion of thermophoretic velocity Phil. Mag. 87 2007 873 883
10. M. Zhang, and F. Mller-Plathe The Soret effect in dilute polymer solutions: influence of chain length, chain stiffness and solvent quality J. Chem. Phys. 125 2006 124903
11. A. Wrger Molecular-weight dependent thermal diffusion in dilute polymer solutions Phys. Rev. Lett. 102 2009 078302
12. P.-G. de Gennes Scaling Concepts in Polymer Physics 1979 Cornell University Press Ithaca, NY
13. E. Bringuier, and A. Bourdon Kinetic theory of colloid thermodiffusion Physica A 385 2007 9 24 The factor of 4 in the cross section in Eq. (22) should be removed
14. G.S. McNab, and A. Meisen Thermophoresis in liquids J. Colloid Interf. Sci. 44 1973 339 346
15. L. Landau, and E. Lifshitz Statistical Physics 1959 Pergamon Oxford (section 151)
16. D. Boal Mechanics of the Cell 2002 Cambridge University Press Cambridge (Chapter 2)
17. M. Doi, and S.F. Edwards The Theory of Polymer Dynamics 1986 Oxford University Press Oxford (Chapter 8)
18. P. Ahlrichs, and B. Dnweg Simulation of a single polymer chain in solution by combining lattice Boltzmann and molecular dynamics J. Chem Phys. 111 1999 8225 8239
19. P.-G. de Gennes Dynamics of entangled polymer solutions II: inclusion of hydrodynamic interactions Macromol. 9 1976 594 598
20. B. Dnweg Computer simulations of the dynamics of polymer solutions J. Comput. Aided Mater. Des. 14 2007 259 264
21. B. Dnweg, and A.J.C. Ladd Lattice Boltzmann simulations of soft-matter systems Adv. Polymer Sci. 221 2009 89 166
22. N.G. van Kampen Stochastic Processes in Physics and Chemistry 3rd edition 2007 Elsevier Amsterdam (Chapters 7 and 8)
23. E. Bringuier, and A. Bourdon Colloid thermophoresis as a non-proportional response J. Non-Equilib. Thermodyn. 32 2007 221 229
24. A. Einstein Zur Theorie der Radiometerkrfte Z. Phys. 27 1924 1 4
25. I. Goldhirsch, and D. Ronis Theory of thermophoresis I: general considerations and mode-coupling analysis Phys. Rev. A 27 1983 1616 1634
26. L. Waldmann ber die Kraft eines inhomogenen Gases auf kleine suspendierte Kugeln Z. Naturforschung A 14 1959 589 599
27. L. Waldmann On the motion of spherical particles in nonhomogeneous gases L. Talbot, Rarefied Gas Dynamics 1961 Academic New York 323 344
28. E. Bringuier Anatomy of particle diffusion Eur. J. Phys. 30 2009 1447 1470
29. Different behaviours arise according to whether the inhomogeneity of diffusion has a geometric or thermal nature, see E. Bringuier Kinetic theory of inhomogeneous diffusion Physica A 388 2009 2588 2599 However, the reasoning used in the present paper holds regardless of that difference
30. G. Ryskin Simple procedure for correcting equations of evolution: application to Markov processes Phys. Rev. E 56 1997 5123 5127
31. T.G.M. van de Ven Colloidal Hydrodynamics 1989 Academic London
32. D.R. Lide Handbook of Chemistry and Physics 76th ed. 1995 CRC Boca Raton
33. A. Viallat, and G. Rossi Statistical structure of soluble conjugated polymers. I. Conformation and electronic properties J. Chem. Phys. 92 1990 4548 4556