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Seki K, Tachiya M. Reaction under vacancy-assisted diffusion at high quencher concentration. Phys Rev E Stat Nonlin Soft Matter Phys. 2009;80(4):041120doi: 10.1103/PhysRevE.80.041120.
Seki, K., & Tachiya, M. (2009). Reaction under vacancy-assisted diffusion at high quencher concentration. Physical review. E, Statistical, nonlinear, and soft matter physics, 80(4), 041120. https://doi.org/10.1103/PhysRevE.80.041120
Seki, Kazuhiko, and Tachiya, M. "Reaction under vacancy-assisted diffusion at high quencher concentration." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 80,4 (2009): 041120. doi: https://doi.org/10.1103/PhysRevE.80.041120
Seki K, Tachiya M. Reaction under vacancy-assisted diffusion at high quencher concentration. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4):041120. doi: 10.1103/PhysRevE.80.041120. Epub 2009 Oct 16. PMID: 19905286.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4):041120. doi: 10.1103/PhysRevE.80.041120. Epub 2009 Oct 16.

Reaction under vacancy-assisted diffusion at high quencher concentration.

Physical review. E, Statistical, nonlinear, and soft matter physics

Kazuhiko Seki, M Tachiya

Affiliations

  1. National Institute of Advanced Industrial Science and Technology, Tsukuba Central 5, Tsukuba, Ibaraki 305-8565, Japan. [email protected]

PMID: 19905286 DOI: 10.1103/PhysRevE.80.041120

Abstract

The theory of diffusion-mediated reactions is already established for the target problem in the dilute limit, where the immobile target is surrounded by many quenchers. For lattice random walks in the crowded situation, each quencher is surrounded by other quenchers differently. As a result, each quencher migrates differently in the presence of site blocking effects. However, in the conventional theory, such difference is ignored and quenchers are assumed to move independently of each other. In this paper, theory of diffusion-mediated reactions of target problem is developed by taking into account the site blocking effects for quencher migration and the difference in the configuration of quenchers around each quencher. Our result interpolates between those in high and low limits of quencher concentrations and is a lower bound of the survival probability. In the static limit, the exact result is reproduced for a localized sink. In the presence of diffusion, the approximation is better when intrinsic reaction rates are low.

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