A study of the subdiffusive fractional Fokker–Planck equation of bistable systems

F. So and K.L. Liu

Physica A: Statistical Mechanics and its Applications, 2004, vol. 331, issue 3, 378-390

Abstract: We study the dynamical properties of bistable systems described by the one-dimensional subdiffusive fractional Fokker–Planck equation, for the natural boundary conditions as well as the absorbing boundary conditions. We have investigated the propagators, the auto-correlation function, the survival probability and the lifetime distribution for two model potentials: (1) the quartic double-well potential U4(x)=(−0.5x2+0.25x4), and (2) the sextic double-well potential U6(x)=(−0.75x4+0.5x6). For both potentials, the evolution of the propagator P(x,t|0,0) shows a trimodal transient, in contrast with the result of the conventional Fokker–Planck Theory.

Keywords: Fractional Fokker–Planck equation; Subdiffusive bistable systems (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:331:y:2004:i:3:p:378-390

DOI: 10.1016/j.physa.2003.09.026

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