Why irreversibility is not a sufficient condition for ergodicity

被引：51

作者：

Lee, M. Howard

机构：

[1] Department of Physics and Astronomy, University of Georgia, Athens

[2] Korea Institute for Advanced Study

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.98.190601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Khinchin's theorem of ergodicity is examined by means of linear response theory. The resulting ergodic condition shows that, contrary to the theorem, irreversibility is not a sufficient condition for ergodicity. By the recurrence relations method, we prove that irreversibility is broader in scope than ergodicity, showing why it can only be a necessary condition for ergodicity.

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页数：4

相关论文

共 34 条

[1] Dynamical correlations [J].

Balucani, U ;

Lee, MH ;

Tognetti, V .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2003, 373 (06) :409-492

[2] Intermediate dynamics between Newton and Langevin [J].

Bao, Jing-Dong ;

Zhuo, Yi-Zhong ;

Oliveira, Fernando A. ;

Hanggi, Peter .

PHYSICAL REVIEW E, 2006, 74 (06)

[3] Fluctuation-dissipation dispersion relation and quality factor for slow processes [J].

Belyi, VV .

PHYSICAL REVIEW E, 2004, 69 (01) :4

[4] The Fluctuation-Dissipation Theorem fails for fast superdiffusion [J].

Costa, IVL ;

Morgado, R ;

Lima, MVBT ;

Oliveira, FA .

EUROPHYSICS LETTERS, 2003, 63 (02) :173-179

[5] Continued fraction matrix representation of response functions in multicomponent systems [J].

Daligault, J ;

Murillo, MS .

PHYSICAL REVIEW E, 2003, 68 (01) :4

[6] RELAXATION FUNCTIONS, MEMORY FUNCTIONS, AND RANDOM FORCES IN THE ONE-DIMENSIONAL SPIN-1/2 XY AND TRANSVERSE ISING-MODELS [J].

FLORENCIO, J ;

LEE, MH .

PHYSICAL REVIEW B, 1987, 35 (04) :1835-1840

[7]

GRIGOLINI P, 1993, QUANTUM MECH IRREVER, P129

[8] Convergence criteria of an infinite continued fraction [J].

Jo, SG ;

Lee, KH ;

Kim, SC ;

Choi, SD .

PHYSICAL REVIEW E, 1997, 55 (03) :3676-3681

[9]

Khinchin AI., 1949, MATH FDN STAT MECH

[10] STATISTICAL-MECHANICAL THEORY OF IRREVERSIBLE PROCESSES .1. GENERAL THEORY AND SIMPLE APPLICATIONS TO MAGNETIC AND CONDUCTION PROBLEMS [J].

KUBO, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1957, 12 (06) :570-586

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