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Asymptotic survival probability of a particle in reaction–diffusion process with exclusion in presence of traps

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Abstract

Reaction–diffusion processes with exclusion in the presence of static traps have been studied. The asymptotic survival probability for the case of uniformly distributed random traps in one dimension shows a stretched exponential behaviour. When exclusion is taken into account, an additional correction term is shown to appear in the stretched exponent. Analytically it is shown to be ~t 1/6. A self-consistent Langevin dynamics simulation is used to study the problem numerically. Our numerical study suggests a correction to the stretched exponent close to the theoretical prediction.

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Authors and Affiliations

  1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India

    T. Bagarti

  2. Institute of Physics, Sachivalaya Marg, Bhubaneswar, 751005, India

    K. Kundu

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  1. T. Bagarti
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  2. K. Kundu
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Correspondence to T. Bagarti.

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Bagarti, T., Kundu, K. Asymptotic survival probability of a particle in reaction–diffusion process with exclusion in presence of traps. Indian J Phys 88, 1157–1161 (2014). https://doi.org/10.1007/s12648-014-0570-y

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  • DOI: https://doi.org/10.1007/s12648-014-0570-y

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