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Continuous time random walk with A→B reaction in flows

Author

Listed:
  • Li, G.H.
  • Zhang, H.
  • Zhang, B.

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.

Suggested Citation

  • Li, G.H. & Zhang, H. & Zhang, B., 2019. "Continuous time random walk with A→B reaction in flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    • Handle: RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311276
    DOI: 10.1016/j.physa.2019.121917
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    Cited by:

    1. Shuai Yang & Qing Wei & Lu An, 2022. "Fractional Advection Diffusion Models for Radionuclide Migration in Multiple Barriers System of Deep Geological Repository," Mathematics, MDPI, vol. 10(14), pages 1-7, July.

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