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  • 1
    Electronic Resource
    Electronic Resource
    Relaxation properties of weakly coupled classical systems (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 307-322 
    Details
    ISSN: 1572-9613
    Keywords: Relaxation ; weak coupling ; Fokker-Planck equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The relaxation properties of a small classical system weakly coupled to a large classical system which acts as a heat bath are described using a generalized Fokker-Planck equation. The Fokker-Planck equation is derived in general using a modification of the elimination of fast variables techniques previously described. The specific example in which the small system is a harmonic oscillator linearly coupled to the heat bath is treated in detail and it is demonstrated that there is a dynamic frequency shift as well as a statistical shift of the oscillator frequency.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011559
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Uses and abuses of the Langevin equation for chemical reactions in condensed phases (1991)
    Springer
    Journal of statistical physics 65 (1991), S. 859-872 
    Details
    ISSN: 1572-9613
    Keywords: Langevin equation ; Fokker-Planck equation ; chemical reactions ; weak coupling ; Brownian motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Langevin and Fokker-Planck equations are useful in the description of many classical and quantum mechanical systems. However, these equations are justifiable from molecular considerations under very restricted conditions. These conditions include weak coupling, Brownian motion, and systems with special Hamiltonians. The application of these equations to chemical reactions in condensed phases is fraught with peril, particularly for fluid systems. We examine the molecular derivations of these equations and describe the conditions under which they are justifiable. It is, of course, possible that the equations are useful under other conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01049586
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    Paper (German National Licenses)
    Fulltext
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