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Prog. Theor. Phys. Supplement No.64 (1978) pp. 50-64

Scalng for the Space-Time Coarse Graining and Kinetic Equations

Hazime Mori, Michio Tokuyama and Terumitsu Morita

Department of Physics, Kyushu University, Fukuoka 812

Abstract:

Usefulness of the scaling for the space-time coarse graining in nonequilibrium statistical mechnaics is discussed in two respects. The scaling leads to a new expansion of the macroscopic local densities in a small parameter, called the scaling expansion, which enables us to eliminate the underlying sublevel processes varying rapidly in space and/or in time. It is first shown that the scaling expansion gives a systematic method for obtaining kinetic equations from first principles, and secondly that the scaling expansion provides a useful means for studying the fluctuations of the macroscopic local densities in non-equilibrium systems.

URL : http://ptp.ipap.jp/link?PTPS/64/50/
DOI : 10.1143/PTPS.64.50

[ Full Text PDF : FREE ACCESS (930K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1181-1189 :

   Critical Fluctuations of Schlögl's Chemical Model

   Yutaka Fukuyama and Hazime Mori

2. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1865-1884 :

   Contraction of State Variables in Non-Equilibrium Open Systems. I

   Hazime Mori, Terumitsu Morita and Kazuko T. Mashiyama

3. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1820-1834 :

   Anomalous Fluctuations near Nonequilibrium Soft Transitions. I

   Kazuko T. Mashiyama, Kiyohumi Takayoshi and Hazime Mori

4. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1152-1168 :

   On Statistical Mechanics of Nonequilibrium Fluctuations

   Masakazu Ichiyanagi

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