Berry’s conjecture and information theory

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 2, 1997, Pages 2254-2256

  Jarzynski, C ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007712264     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.2254     Document Type: Article

References (21)

1. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987), Sec. 3.7. Note that minimizing the information content of the ensemble is the same as maximizing its entropy.
2. See, e.g., H. Bidar, D. Jou, and M. Criado-Sancho, Physica A 233, 163 (1996), and references therein.PHYADX
3. R. Balian, Nuovo Cimento B 57, 183 (1968).NIFBAP
4. M. V. Berry, J. Phys. A 10, 2083 (1977).JPHAC5
5. E. Wigner, Phys. Rev. 40, 749 (1932).PHRVAO
6. A. I. Shnirelman, Usp. Mat. Nauk 29, 181 (1974).
7. A. Voros, Ann. Inst. Henri Poincaré A 24, 31 (1976); AHPAAO
8. 26, 343(1977);
9. in Stochastic Behavior in Classical and Quantal Hamiltonian Systems, edited by G. Casati and J. Ford (Springer-Verlag, Berlin, 1979).
10. M. V. Berry, in Chaotic Behavior of Deterministic Systems, Les Houches XXXVI, edited by G. Iooss, R. H. G. Helleman, and R. Stora (North-Holland, Amsterdam, 1983).
11. This allows us to replace ensemble averaging with local smoothing.
12. V. N. Prigodin, Phys. Rev. Lett. 74, 1566 (1995); PRLTAO
13. V. N. Prigodin et al., 75, 2392 (1995);
14. 76, 1982 (1996);
15. V. N. Prigodin and N. Taniguchi, Mod. Phys. Lett. B 10, 69 (1996).MPLBET
16. M. Srednicki and F. Stiernelof, J. Phys. A 29, 5817 (1996).JPHAC5
17. L. S. Brown, Quantum Field Theory (Cambridge University Press, Cambridge, England, 1992), Chap. 1.
18. M. Srednicki, Phys. Rev. E 54, 954 (1996).PLEEE8
19. R. Kubo, M. Toda, and N. Hashisume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1985), Sec. 1.4.
20. Note that the computational effort required to solve Schrödinger’s equation grows exponentially with the dimensionality (Formula presented) of the configuration space.
21. See, e.g., the use of Berry’s conjecture to derive eigenstate thermalization. M. Srednicki, Phys. Rev. E 50, 888 (1994). PLEEE8