A theorem on the equilibrium thermodynamics of Hamiltonian systems

Physica A: Statistical Mechanics and its Applications

Volumn 359, Issue 1-4, 2006, Pages 162-176

  Ponno, Antonio ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Thermodynamics of Hamiltonian systems; Tsallis statistics

Indexed keywords

MOLECULAR DYNAMICS; SPECIFIC HEAT; STATISTICS; THEOREM PROVING;

GIBBS DISTRIBUTION; THERMODYNAMICS OF HAMILTONIAN SYSTEMS; TSALLIS STATISTICS;

STATISTICAL MECHANICS;

EID: 27344438754     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.04.042     Document Type: Article

References (16)

1. C. Tsallis Possible generalization of the Boltzmann-Gibbs statistics J. Stat. Phys. 52 1988 479 487
2. A. Carati Thermodynamics and time-averages Physica A 348 2005 110 120
3. J.W. Gibbs, Elementary Principles in Statistical Mechanics, Yale University Press 1902; reprinted by Dover, New York, 1960.
4. C. Tsallis, M. Gell-Mann, Y. Sato, Special scale-invariant occupancy of phase-space makes the entropy S q additive, 2005, cond-mat/0502274.
5. A. Carati, On the definition of temperature using time-averages, 2005, cond-mat/0501588.
6. M. Nauenberg, Critique of q -entropy for thermal statistics, Phys. Rev. E 67 (2003) 036114, 1-6.
7. C. Tsallis, Comment on "Critique of q -entropy for thermal statistics", Phys. Rev. E 69 (2004) 038101, 1-6.
8. M. Nauenberg, Reply to "Comment on "Critique of q -entropy for thermal statistics"", Phys. Rev. E (2004) 038102, 1-1.
9. L.G. Moyano, F. Baldovin, C. Tsallis, Zeroth principle of thermodynamics in aging quasistationary states, 2003, cond-mat/0305091.
10. C. Tsallis What should a statistical mechanics satisfy to reflect nature? Physica D 193 2004 3 34
11. J.L. Lebowitz, M. Aizenmann, and S. Goldstein On the stability of equilibrium states of finite classical systems J. Math. Phys. 16 1975 1284 1287
12. A.I. Khinchin Mathematical Foundations of Statistical Mechanics 1949 Dover New York
13. M. Baranger Why Tsallis statistics? Physica A 305 2002 27 31
14. V.V. Kozlov On justification of Gibbs distribution Reg. Chaotic Dyn. 7 2002 1 10
15. J. Marsden, and T. Ratiu An Introduction to Mechanics and Symmetry 1999 Springer New York
16. J. Von Neumann Mathematical Foundations of Quantum Mechanics 1955 Princeton University Press Princeton, NJ