Microscopic dynamics underlying the anomalous diffusion release_6rfrrxhncba37icbuyh5cfocgi

by G. Kaniadakis, G. Lapenta

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abstracts[] {'sha1': '66e960065078dfa750a0fd8d737fb2051e8fd094', 'content': 'The time dependent Tsallis statistical distribution describing anomalous\ndiffusion is usually obtained in the literature as the solution of a non-linear\nFokker-Planck (FP) equation [A.R. Plastino and A. Plastino, Physica A, 222, 347\n(1995)]. The scope of the present paper is twofold. Firstly we show that this\ndistribution can be obtained also as solution of the non-linear porous media\nequation. Secondly we prove that the time dependent Tsallis distribution can be\nobtained also as solution of a linear FP equation [G. Kaniadakis and P.\nQuarati, Physica A, 237, 229 (1997)] with coefficients depending on the\nvelocity, that describes a generalized Brownian motion. This linear FP equation\nis shown to arise from a microscopic dynamics governed by a standard Langevin\nequation in presence of multiplicative noise.', 'mimetype': 'text/plain', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'G. Lapenta', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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release_date 2000-07-19
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release_type article
release_year 2000
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title Microscopic dynamics underlying the anomalous diffusion
version v1
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arxiv.base_id cond-mat/0007311
arxiv.categories ['cond-mat.stat-mech', 'cond-mat.soft']
arxiv.comments 4 pag. - no figures. To appear on Phys. Rev. E 62, September 2000
arxiv.journal_ref Phys.Rev.E 62, 3246 (2000).