Stationary solutions of Liouville equations for non-Hamiltonian systems

Annals of Physics

Volumn 316, Issue 2, 2005, Pages 393-413

  Tarasov, Vasily E ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Canonical distribution; Liouville equation; Non Hamiltonian systems

Indexed keywords

EID: 14844337816     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aop.2004.11.001     Document Type: Article

References (42)

1. J.W. Gibbs Elementary Principles in Statistical Mechanics, Developed with Especial Reference to the Rational Foundation of Thermodynamics 1902 Yale University Press
2. W.G. Hoover A.J.C. Ladd B. Moran Phys. Rev. Lett. 48 1982 1818-1820
3. D.J. Evans J. Chem. Phys. 78 1983 3297-3302
4. D.J. Evans W.G. Hoover B.H. Failor B. Moran A.J.C. Ladd Phys. Rev. A 28 1983 1016-1021
5. J.M. Haile S. Gupta J. Chem. Phys. 79 1983 3067-3076
6. D.J. Evans G.P. Morriss Phys. Lett. A 98 1983 433
7. S. Nose Mol. Phys. 52 1984 255
8. S. Nose J. Chem. Phys. 81 1 1984 511-519
9. S. Nose Prog. Theor. Phys. Suppl. 103 1991 1
10. M.E. Tuckerman Y. Liu G. Ciccotti G.J. Martyna J. Chem. Phys. 115 2001 1678-1702
11. V.E. Tarasov Mod. Phys. Lett. B 17 2003 1219-1226 Available from: Preprint
12. F. Schweitzer W. Ebeling B. Tilch Phys. Rev. E 64 2001 021110 Available from: Preprint
13. W. Ebeling Cond. Matt. Phys. 3 2 2000 285-293
14. A. Isihara Statistical Physics 1971 Academic Press New York, London Appendix IV
15. T.M. Galea P. Attard Phys. Rev. E 66 2002 041207
16. V.V. Dobronravov Foundations of Mechanics of Non-Holonomic Systems 1970 Vishaya shkola Moscow
17. V.E. Tarasov Phys. Rev. E 66 2002 056116 Available from: Preprint
18. V.E. Tarasov Phys. Lett. A 299 2002 173-178
19. V.E. Tarasov Chaos 14 2004 123-127 Available from: Preprint
20. A.I. Khintchin Mathematical Foundations of Statistical Mechanics 1960 Dover New York
21. M. Annunziato P. Grigolini B.J. West Phys. Rev. E 64 2001 011107 Available from: Preprint
22. A. Chechkin V. Gonchar J. Klafter R. Metzler T. Tanatarov Chem. Phys. 284 2002 233
23. D.H. Zanette, M.A. Montemurro, Thermal measurements of stationary non-equilibrium systems: A test for generalized thermostatics, 2002. Available from:
24. E. Barkai, Stable Equilibrium Based on Levy Statistics: A Linear Boltzmann Equation Approach, 2003. Available from:
25. V.E. Tarasov Theor. Math. Phys. 110 1997 73-85
26. V.E. Tarasov Mathematical Introduction to Quantum Mechanics 2000 MAI Moscow
27. V.E. Tarasov Phys. Lett. B 323 1994 296-304
28. G. Breit E. Wigner Phys. Rev. 49 1936 519-531
29. A. Bohr B.R. Mottelson Nuclear Structure 1969 W.A. Benjamin
30. E. Fermi Nuclear Physics, Lecture Notes Rev ed. 1959 Chicago University Press Chicago, IL
31. E.B. Paul, Nuclear and Particle Physics, North Holland, 1969
32. D. Frenkel B. Smit Understanding Molecular Simulation: From Algorithms to Applications second ed. 2001 Academic Press New York
33. W.A. Majewski J. Phys. A 23 1990 L359
34. R. Alicki W.A. Majewski Phys. Lett. A 148 1990 69
35. R. Alicki J. Messer J. Stat. Phys. 32 1983 299-312
36. M. Czachor M. Kuna Phys. Rev. A 58 1998 128-134 Available from: Preprint
37. M. Kuna M. Czachor S.B. Leble Phys. Lett. A 225 1999 42-48 Available from:
38. M. Czachor S.B. Leble Phys. Rev. E 58 1998 7091-7100 Available from:
39. E.M. Lifshiz, L.P. Pitaevskii, Statistical Physics, Part II., Nauka, Moscow, 1978; Pergamon Press, 1980. Sec. 45, 46
40. V.E. Tarasov Phys. Lett. A 288 2001 173-182
41. V.E. Tarasov Moscow Univ. Phys. Bull. 56 2001 5-10
42. V.E. Tarasov Theor. Phys. 2 2001 150-160