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Prog. Theor. Phys. Supplement No.64 (1978) pp. 74-82

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Nonlinear Transport Equations from Statistical Mechanics

Robert Zwanzig

Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742

Abstract:

A systematic procedure is described for deriving nonlinear transport equations from statistical mechanics. The procedure is based on the Chapman-Enskog point of view. It makes use of operator methods that are standard in linear response theory. As an illustration, the resulting transport equations are expanded to second order in deviations from equilibrium, and also to second order in gradients.


URL : http://ptp.ipap.jp/link?PTPS/64/74/
DOI : 10.1143/PTPS.64.74

[ Full Text PDF : FREE ACCESS (516K) ] Citation:


References:

  1. K. S. J. Nordholm and R. Zwanzig, J. Stat. Phys. 11 (1974), 143; ibid. 13 (1975), 347.
  2. H. Mori and H. Fujisaka, Prog. Theor. Phys. 49 (1973), 764[PTP].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 70-90 :
    Study of Langevin Type Equations by Means of a New Projection Operator Method in Nonequilibrium States
    Hiroshi Furukawa
  2. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 98-117 :
    On the Contraction of Fast Driving Variables from Stochastic Processes
    Hiroshi Hasegawa, Masahiko Mizuno and Mahito Mabuchi