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Prog. Theor. Phys. Vol. 62 No. 1 (1979) pp. 70-90

[ Full Text PDF : FREE ACCESS (1290K) ]

Study of Langevin Type Equations by Means of a New Projection Operator Method in Nonequilibrium States

Hiroshi Furukawa

Department of Physical Sciences, Faculty of Education, Yamaguchi University, Yamaguchi 753

(Received January 20, 1979)

Abstract:

A new projection operator method of obtaining Langevin type equations in the entire domains of equilibrium and nonequilibrium states is developed. Langevin type equations consist of fluctuating forces and the systematic parts, which are mutually related through the fluctuation-dissipation theorem. There are many kinds of Langevin type equation represented as above. The fluctuating forces R contain at least two time arguments t and s (<t). It is found that the fluctuating forces as functions of s satisfy a unified transparent equation, which is found to be equivalent to Langevin type equations. The conventional projection operator method is generalized to obtain the memory function and convolutionless equations in nonequilibrium states, and is compared with the new method. With suitable extensions, our method is applied to the derivation of a closed equation of motion for mean values in nonequilibrium states.


URL : http://ptp.ipap.jp/link?PTP/62/70/
DOI : 10.1143/PTP.62.70

[ Full Text PDF : FREE ACCESS (1290K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 107 No. 3 (2002) pp. 525-541 :
    Derivation of Transport Equations Using the Time-Dependent Projection Operator Method
    Tomoi Koide

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