Continuous time random walk with A→B reaction in flows

G.H. Li, H. Zhang and B. Zhang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 532, issue C

Abstract: Anomalous diffusion in disordered media has attracted high attention in the recent years. To describe the dynamic behaviors of nonlinear reactions under anomalous diffusion with varying exponent on moving fluids, in this paper we consider a continuous time random walk model with simple A→B reaction, position-dependent waiting time and velocity-dependent jumps, and derive the corresponding generalizations of the master equation for the densities of reactive particles. Moreover, by using the derived results we obtain the fractional advection diffusion reaction equations with space-dependent anomalous exponent and show that the diffusion and advection terms both depend on the reaction rate.

Keywords: Anomalous diffusion; Continuous time random walk; Advection diffusion reaction equation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311276

DOI: 10.1016/j.physa.2019.121917

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