Prog. Theor. Phys. Vol. 53 No. 6 (1975) pp. 1657-1674

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Statistical Mechanics of Non-Equilibrium Systems. I

— Extensive Property, Fluctuation and Non-Linear Response —

Masuo Suzuki

Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo

(Received December 9, 1974)

Abstract:

The existence of thermodynamic limits of non-equilibrium reduced density matrix and distribution function is proved on the following assumptions on initial states and temporal evolution of the system: The initial state is described by a canonical distribution, an effective Hamiltonian of which is the sum of local Hamiltonians and some averages of “local” operators are bounded. This proof yields an extension of Kubo's Ansatz on the extensive property of a macrovariable to quantal systems and to non-Markoffian macrovariables in stochastic models. A generating function (generalized thermodynamic potential) formalism is used effectively for discussing the above non-equilibrium problems. Non-linear response and fluctuation are also discussed in the above-mentioned scheme.

URL : http://ptp.ipap.jp/link?PTP/53/1657/
DOI : 10.1143/PTP.53.1657

References:

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Citing Article(s) :

Journal of the Physical Society of Japan 57 (1988) pp. 807-817 :
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Langevin Type Equations in Nonequilibrium State

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Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1765-1766 :
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Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1152-1168 :
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Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 37-51 :
Variation Principle of Linear and Nonlinear Irreversible Processes

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Progress of Theoretical Physics Supplement No.79 (1984) pp. 125-140 :
Fluctuation and Formation of Macroscopic Order in Non-Equilibrium Systems

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Progress of Theoretical Physics Supplement No.87 (1986) pp. 1-22 :
Skeletonization, Fluctuating Mean-Field Approximations and Coherent Anomalies in Critical Phenomena

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