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  • Title: Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation.
    Author: Despósito MA, Viñales AD.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2008 Mar; 77(3 Pt 1):031123. PubMed ID: 18517345.
    Abstract:
    We investigate the memory effects present in the asymptotic dynamics of a classical harmonic oscillator governed by a generalized Langevin equation. Using Laplace analysis together with Tauberian theorems we derive asymptotic expressions for the mean values, variances, and velocity autocorrelation function in terms of the long-time behavior of the memory kernel and the correlation function of the random force. The internal and external noise cases are analyzed. A simple criterion to determine if the diffusion process is normal or anomalous is established.
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