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Prog. Theor. Phys. Supplement No.99 (1989) pp. 165-205

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Large Deviation and Statistical Physics

Yoshitsugu Oono

Department of Physics, Materials Research Laboratory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A.

Abstract:

An attempt to unify statistical mechanics from the large deviation theoretical point of view is described. Theory of large deviations has already been applied to equilibrium statistical mechanics (mainly by mathematicians). However, nonequilibrium statistical physics (or statistical mechanics along the time axis) is a more interesting field to apply large deviation theory. From the large deviation point of view we can unify equilibrium statistical mechanics, statistical theory for chaos, for chaos, theory of multifractals, statistical theory for (non-equilibrium) steady states, and more. The point of view sheds light upon various foundational questions about nonequilibrium as well as equilibrium statistical physics. Although this paper contains expository parts for convenience and for the promotion of this point of view, the main aim is to explore a sound basis for nonequilibrium statistical physics.


URL : http://ptp.ipap.jp/link?PTPS/99/165/
DOI : 10.1143/PTPS.99.165

[ Full Text PDF : FREE ACCESS (4609K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 187-204 :
    New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems
    Hirokazu Fujisaka and Hiroshi Shibata
  2. Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 973-983 :
    Onsager's Principle from Large Deviation Point of View
    Yoshitsugu Oono
  3. Progress of Theoretical Physics Supplement No.130 (1998) pp. 29-44 :
    Steady State Thermodynamics
    Yoshitsugu Oono and Marco Paniconi
  4. Progress of Theoretical Physics Supplement No.130 (1998) pp. 77-86 :
    Action Principle in Statistical Dynamics
    Gregory L. Eyink

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