Fick’s law, green-kubo formula, and heisenberg’s equation of motion

Physical Review Letters

Volumn 85, Issue 12, 2000, Pages 2422-2425

  Lee, M Howard ^a,b  

^a UNIVERSITY OF GEORGIA   (United States)

^b Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; STATISTICAL MECHANICS;

FICK'S LAW; GREEN-KUBO FORMULA; HEISENBERG EQUATION OF MOTION;

ASTROPHYSICS;

EID: 17544401696     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.2422     Document Type: Article

References (54)

1. A. M. Weinberg and E. P. Wigner, Physical Theory of Neutron Chain Reactions (University of Chicago, Chicago, Illinois, 1958), p. 194;
2. W. Jost, Diffusion in Solids, Liquids and Gases (Academic, New York, 1970);
3. J. J. Duderstadt and W. R. Martin, Transport Theory (Wiley, New York, 1979);
4. R. J. Borg and G. J. Dienes, Solid State Diffusion (Academic, New York, 1988);
5. F. Despa and M. Apostol, Solid State Commun., 94, 153 (1995);
6. F. Despa, M. Apostol, J. Phys. Chem. Solids, 57, 1231 (1996).
7. R. Kubo, Rep. Prog. Phys., 29, 235 (1966);
8. R. Kubo, in Statistical Mechanics of Equilibrium and Nonequilibrium, J. Meixnen (North-Holland, Amsterdam, 1965), pp. 93–97.
9. P. Resibois and M. De Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977);
10. W. Marshall and R. D. Lowde, Rep. Prog. Phys., 31, 705 (1968).
11. S. W. Lovesey, Dynamic Correlations (Benjamin, Reading, 1980), pp. 27–28.
12. P. A. Egelstaff, Introduction to the Liquid State (Academic, New York, 1967), pp. 118–123;
13. P. A. Egelstaff, Introduction to the Liquid State (Academic, New York, 1967), pp. 23–29.
14. J. J. Duderstadt and W. R. Martin, Transport Theory (Wiley, New York, 1979), pp. 747–749.
15. W. Marshall and S. W. Lovesey, Theory of Thermal Neutron Scattering (Oxford University Press, New York, 1971), Ch. 11.
16. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, New York, 1971), Ch. 13.
17. D. Vitali and P. Grigolini, Phys. Rev. A, 39, 1486 (1989);
18. M. H. Lee, Phys. Rev. Lett., 51, 1227 (1983).
19. M. H. Lee, J. Kim, W. P. Cummings, and R. Dekeyser, J. Phys. Condens. Matter, 7, 3187 (1995).
20. M. H. Lee, Phys. Rev. B, 26, 2547 (1982);
21. M. H. Lee Phys. Rev. Lett., 49, 1072 (1982).
22. A. S. T. Pires, Helv. Phys. Acta, 61, 988 (1988);
23. V. S. Viswanath and G. Müller, Recursion Method (Springer-Verlag, Berlin, 1994).
24. I. Sawada, Phys. Rev. Lett., 83, 1668 (1999);
25. J. Hong and M. H. Lee, Phys. Rev. Lett., 70, 1972 (1993);
26. Z. X. Cai, S. Sen, and S. D. Mahanti, Phys. Rev. Lett., 68, 1637 (1992);
27. J. Florencio and F. C. Sa Barreto, Phys. Rev. B, 60, 9555 (1999);
28. S. G. Jo, K. H. Lee, S. C. Kim, and S. D. Choi, Phys. Rev. E, 55, 3676 (1997).
29. H. Mori [Prog. Theor. Phys., 34, 399 (1965)].
30. M. H. Lee, J. Math. Phys., 24, 2512 (1983).
31. M. H. Lee, Phys. Rev. E, 62, 1769 (2000).
32. M. H. Lee, I. M. Kim, and R. Dekeyser, Phys. Rev. Lett., 52, 1579 (1984).
33. W. Jost, Diffusion in Solids, Liquids and Gases (Academic, New York, 1970), p. 257;
34. J. J. Duderstadt and W. R. Martin, Transport Theory (Wiley, New York, 1979), p. 277.
35. K. Smith, Calculation of Atomic Collision Processes (Wiley, New York, 1971), p. 90;
36. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), p. 269.
37. G. Müller, Phys. Rev. Lett., 60, 2785 (1988);
38. A. Greiner, L. Reggiani, T. Kuhn, and L. Varan, Phys. Rev. Lett., 78, 1114 (1997);
39. J. Bonca and S. A. Trugman, Phys. Rev. Lett., 79, 4874 (1997);
40. A. Widom, Phys. Rev. A, 3, 1394 (1971);
41. J. M. Porra, K.-G. Wang, and J. Masoliver, Phys. Rev. E, 53, 5872 (1996);
42. O. F. de Alcantara Bonfim and G. Reiter, Phys. Rev. Lett., 69, 367 (1992).
43. R. K. Pathria, Statistical Mechanics (Pergamon, Oxford, 1974), p. 455;
44. C. Kittel, Elementary Statistical Physics (Wiley, New York, 1958), p. 156;
45. C. Kittel, Transport Theory (Wiley, New York, 1979), p. 28;
46. E. W. Montroll and B. J. West, in Fluctuation Phenomena, E. W. Montroll and J. L. Lebowitz (North-Holland, Amsterdam, 1979), pp. 64–66;
47. F. Despa and M. Apostol, Physical Theory of Neutron Chain Reactions (University of Chicago, Chicago, Illinois, 1958).
48. L. M. Luttinger, Phys. Rev. A, 135, 1505 (1964);
49. G. D. Mahan, Many Particle Physics (Plenum, New York, 1981);
50. M. H. Lee, Contrib. Plasma Phys., 39, 143 (1999);
51. M. H. Lee, Phys. Rev. E, 61, 3571 (2000);
52. G. Röpke, R. Redmer, A. Wierling, and H. Reinholz, Phys. Rev. E, 60, R2484 (1999).
53. M. H. Lee and J. Hong, Phys. Rev. Lett., 48, 634 (1982);
54. M. H. Lee, J. Hong, Physica (Amsterdam), 298B, 301 (1985).