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Generalized Langevin equations: Anomalous diffusion and probability distributions

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We study the motion of a particle governed by a generalized Langevin equation. We show that, when no fluctuation-dissipation relation holds, the long-time behavior of the particle may be from stationary to superdiffusive, along with subdiffusive and diffusive. When the random force is Gaussian, we derive the exact equations for the joint and marginal probability density functions for the position and velocity of the particle and find their solutions.

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Articles publicats en revistes (Física de la Matèria Condensada)

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Generalized Langevin equations: Anomalous diffusion and probability distributions