Fine-grained and coarse-grained entropy in problems of statistical mechanics

Theoretical and Mathematical Physics

Volumn 151, Issue 1, 2007, Pages 539-555

  Kozlov, V V ^a   Treshchev, D V ^a,b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Coarse grained entropy; Gibbs entropy; Invariant measure

Indexed keywords

EID: 34247240445     PISSN: 00405779     EISSN: 15739333     Source Type: Journal    
DOI: 10.1007/s11232-007-0040-1     Document Type: Article

References (8)

1. R. Bowen, Methods in Symbolic Dynamics [Russian transl. of selected works], Mir, Moscow (1979).
2. M. Kac, Probability and Related Topics in Physical Sciences (Lect. Appl. Math., Vol. 1), Interscience, London (1959).
3. N. S. Krylov, Works on the Foundations of Statistical Physics [in Russian], Izdat. Akad. Nauk SSSR, Moscow (1950); English transl., Princeton Univ. Press, Princeton, N. J. (1979).
4. H. Poincaré, Journal de Physique Théorique et Appliquée, 4 Série, 5, 369-403 (1906).
5. J. W. Gibbs, Thermodynamics: Statistical Mechanics [Russian transl. of selected works], Nauka, Moscow (1982).
6. V. V. Kozlov and D. V. Treshchev, Theor. Math. Phys., 136, 1325-1335 (2003).
7. V. V. Kozlov and D. V. Treshchev, Theor. Math. Phys., 134, 339-350 (2003).
8. S. V. Goncharenko, D. V. Turaev, and L. P. Shil'nikov, Dokl. Rossiiskoi Akad. Nauk, 407, 299-303 (2006).