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  • 1
    Electronic Resource
    Electronic Resource
    Brownian dynamics approximation to the decay rate of a metastable state (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2627-2631 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An integrodifferential equation for the time dependence of the unabsorbed fraction in a finite diffusion system is derived and solved approximately. The lowest-order approximate solution is equivalent to the first-passage time approximation to the decay rate of the system whether or not the absorbing boundary probability of absorption varies with time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526728
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  • 2
    Electronic Resource
    Electronic Resource
    Unimolecular diffusion-mediated reactions with a nonrandom time-modulated absorbing barrier (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 2587-2592 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A diffusion-reaction model with time-dependent reactivity is formulated and applied to unimolecular reactions. The model is solved exactly numerically and approximately analytically for the unreacted fraction as a function of time. It is shown that the approximate analytical solution is valid even when the system is far from equilibrium, and when the reactivity probability is more complicated than a square-wave function of time. A discussion is also given of an approach to problems of this type using a stochastically fluctuating reactivity, and the first-passage time for a particular example is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.450328
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