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    188宝金博页面版: 【精品】Uncoupled continuous-time random walks Solution and limiting behavior of the master equatio

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    内容提示： arXiv:cond-mat/0402657v1 [cond-mat.dis-nn] 26 Feb 2004DISTA FIN 02 2003Uncoupled continuous-time random walks: solution and limitingbehaviour of the master equationEnrico ScalasDepartment of Advanced Sciences and Technologies,East Piedmont University, Corso Borsalino 54, I-15100 Alessandria, Italy.?Rudolf GorenfloFirst Mathematical Institute, Free University of Berlin,Arnimallee 2-6, D-14195 Berlin, GermanyFrancesco MainardiDepartment of Physics, Bologna University and INFN Bologna,via Irnerio 46, I-401...

    文档格式：PDF | 页数：19 | 浏览次数：11 | 上传日期：2015-12-31 22:31:51 | 文档星级：
    arXiv:cond-mat/0402657v1 [cond-mat.dis-nn] 26 Feb 2004DISTA FIN 02 2003Uncoupled continuous-time random walks: solution and limitingbehaviour of the master equationEnrico ScalasDepartment of Advanced Sciences and Technologies,East Piedmont University, Corso Borsalino 54, I-15100 Alessandria, Italy.∗Rudolf GorenfloFirst Mathematical Institute, Free University of Berlin,Arnimallee 2-6, D-14195 Berlin, GermanyFrancesco MainardiDepartment of Physics, Bologna University and INFN Bologna,via Irnerio 46, I-40126 Bologna, Italy(Dated: February 2, 2008)AbstractA detailed study is presented for a large class of uncoupled continuous-time random walks(CTRWs). The master equation is solved for the Mittag-Leffler survival probability. The properlyscaled diffusive limit of the master equation is taken and its relation with the fractional diffusionequation is discussed. Finally, some common objections found in the literature are thoroughlyreviewed.PACS numbers: 05.40.-a, 89.65.Gh, 02.50.Cw, 05.60.-k, 47.55.Mh∗Electronic address: scalas@unipmn.it; URL: http: //www. fracalmo. org1

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