Enhanced superdiffusion and finite velocity of Levy flights

Chukbar, KV; Zaburdaev, Vasily

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Enhanced superdiffusion and finite velocity of Levy flights

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Chukbar, K., & Zaburdaev, V. (2004). Enhanced superdiffusion and finite velocity of Levy flights. In Simplicity behind Complexity (pp. 309-316).

Cite as: http://hdl.handle.net/21.11116/0000-0007-F0B3-F

Abstract

A fractional differential equation is derived that describes the transformation of a stochastic transport from fast spreading (x) over bar proportional to t(alpha), alpha > 1 to a pseudowave regime alpha = 1 due to the finiteness of the velocities of individual particles. Qualitative features of new regime are discussed.