A general framework for non-equilibrium phenomena: The master equation and its formal consequences

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 229, Issue 6, 1997, Pages 347-353

  Gaveau, Bernard ^a   Schulman, L S ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

STOCHASTIC SYSTEMS;

ABSTRACT FRAMEWORK; FLUCTUATION DISSIPATION THEOREM; MASTER EQUATIONS; NON-EQUILIBRIUM PHENOMENA; NONEQUILIBRIUM SYSTEM; ONSAGER RELATIONS; RELATIVE ENTROPY; STOCHASTIC DYNAMICS;

DYNAMICS;

EID: 0042974185     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00185-0     Document Type: Article

References (26)

1. I. Prigogine, Non-equilibrium statistical mechanics (Wiley, New York, 1962); G. Nicolis and I. Prigogine, Self-organization in non-equilibrium systems (Wiley, New York, 1977).
2. I. Prigogine, Non-equilibrium statistical mechanics (Wiley, New York, 1962); G. Nicolis and I. Prigogine, Self-organization in non-equilibrium systems (Wiley, New York, 1977).
3. S.R. de Groot and P. Mazur, Non-equilibrium thermodynamics (Dover, New York, 1984).
4. J. Keizer, Statistical thermodynamics of non-equilibrium processes (Springer, New York, 1987).
5. R. Kubo, Statistical mechanics (North-Holland, Amsterdam, 1988).
6. J. Ross, K.L.C. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 618; Q. Zheng, J. Ross, K.L.L. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 630; M.O. Vlad and J. Ross, J. Chem. Phys. 100 (1994) 7268, 7295.
7. J. Ross, K.L.C. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 618; Q. Zheng, J. Ross, K.L.L. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 630; M.O. Vlad and J. Ross, J. Chem. Phys. 100 (1994) 7268, 7295.
8. J. Ross, K.L.C. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 618; Q. Zheng, J. Ross, K.L.L. Hunt and P.M. Hunt, J. Chem. Phys. 96 (1992) 630; M.O. Vlad and J. Ross, J. Chem. Phys. 100 (1994) 7268, 7295.
9. B. Gaveau and L.S. Schulman, J. Math. Phys. 12 (1996).
10. M. Moreau, J. Math. Phys. 19 (1978) 2494.
11. R.C. Tolman, The principles of statistical mechanics (Clarendon, Oxford, 1938).
12. I. Procaccia, Y. Shimoni and R.D. Levine, J. Chem. Phys. 65 (1976) 3284; R.D. Levine, J. Chem. Phys. 65 (1976) 3302; I. Procaccia and R.D. Levine, J. Chem. Phys. 65 (1976) 3357.
13. I. Procaccia, Y. Shimoni and R.D. Levine, J. Chem. Phys. 65 (1976) 3284; R.D. Levine, J. Chem. Phys. 65 (1976) 3302; I. Procaccia and R.D. Levine, J. Chem. Phys. 65 (1976) 3357.
14. I. Procaccia, Y. Shimoni and R.D. Levine, J. Chem. Phys. 65 (1976) 3284; R.D. Levine, J. Chem. Phys. 65 (1976) 3302; I. Procaccia and R.D. Levine, J. Chem. Phys. 65 (1976) 3357.
15. T.M. Cover and J.A. Thomas, Elements of information theory (Wiley, New York, 1991).
16. D. Forster, Hydrodynamic fluctuations, broken symmetry and correlation functions, Frontiers in physics, no. 47 (Benjamin-Cummings, Reading, MA, 1975).
17. D.J. Aldous, SIAM J. Disc. Math. 3 (1990) 450.
18. P.G. Doyle and J.L. Smell, Random walks and electric networks (Math. Assoc. of America, Washington, DC, 1984).
19. D.L. Stein, ed., Lectures on the sciences of complexity (Addison-Wesley, New York, 1989).
20. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
21. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
22. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
23. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
24. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
25. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.
26. R.J. McCraw and L.S. Schulman, J. Stat. Phys. 18 (1978) 293; B. Gaveau and L.S. Schulman, J. Phys. A. 20 (1987) 2865; J. Stat. Phys. 74 (1994) 607; 70 (1993) 613; P Bak, Physica A 163 (1990) 403; D. Ben Avraham, R. Bidaux and L.S. Schulman, Phys. Rev. A 43 (1991) 7093; B. Yu and D.A. Browne, Phys. Rev. E 49 (1994) 3496.