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Eine verallgemeinerung des stratonovich-verfahrens für anwendungen in der statistischen mechanik

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  • Gerlich, G.

Abstract

R.L. Stratonovich has given a derivation of kinetic equations, if a stochastic process is determined by a system of fluctuation equations. In this paper it is examined how the equations of motion of a particle of a system of mass points can be interpreted as a system of fluctuation equations. These equations are more general than those which are treated by Stratonovich. A derivation of kinetic equations is given which is applicable to the more general case and which contains the results of Stratonovich. The kinetic equation can be interpreted as a generalization of the well-known Fokker-Planck equation. The stochastic force field which is generated by the particles of the system of mass points is briefly discussed.

Suggested Citation

  • Gerlich, G., 1976. "Eine verallgemeinerung des stratonovich-verfahrens für anwendungen in der statistischen mechanik," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(4), pages 477-499.
    • Handle: RePEc:eee:phsmap:v:82:y:1976:i:4:p:477-499
    DOI: 10.1016/0378-4371(76)90077-7
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