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Generalized Langevin equations: Anomalous diffusion and probability distributions Porrà i Rovira, Josep Maria Wang, Ke-Gang Masoliver, Jaume, 1951- Física matemàtica Física estadística Termodinàmica Soroll Mathematical physics Statistical physics Thermodynamics Noise 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. 2011-07-07T12:54:48Z 2011-07-07T12:54:48Z 1996 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 1063-651X https://hdl.handle.net/2445/18892 107990 eng Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.53.5872 Physical Review E, 1996, vol. 53, núm. 6, p. 5872-5881 http://dx.doi.org/10.1103/PhysRevE.53.5872 (c) American Physical Society, 1996 info:eu-repo/semantics/openAccess 10 p. application/pdf The American Physical Society Articles publicats en revistes (Física de la Matèria Condensada)