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• W2080212477 abstract "L'evy flight dynamics can stem from simple random walks in a system whose operational time (number of steps $n)$ typically grows superlinearly with physical time t. Thus this process is a kind of continuous-time random walk (CTRW), dual to the typical Scher-Montroll model, in which n grows sublinearly with t. Models in which L'evy flights emerge due to a temporal subordination allow one easily to discuss the response of a random walker to a weak outer force, which is shown to be nonlinear. On the other hand, the relaxation of an ensemble of such walkers in a harmonic potential follows a simple exponential pattern, and leads to a normal Boltzmann distribution. Mixed models, describing normal CTRW's in superlinear operational time and L'evy flights under the operational time of subdiffusive CTRW's lead to a paradoxical diffusive behavior, similar to the one found in transport on polymer chains. The relaxation to the Boltzmann distribution in such models is slow, and asymptotically follows a power law." @default.
• W2080212477 created "2016-06-24" @default.
• W2080212477 creator A5039295037 @default.
• W2080212477 date "2000-12-20" @default.
• W2080212477 modified "2023-10-16" @default.
• W2080212477 title "Lévy flights from a continuous-time process" @default.
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• W2080212477 doi "https://doi.org/10.1103/physreve.63.011104" @default.
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