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Multiparticle reactions with spatial anisotropy

Vladimir Privman, Enrique Burgos, and Marcelo D. Grynberg

  • Department of Physics, Clarkson University, Potsdam, New York 13699-5820
  • Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250 (1429) Buenos Aires, Argentina

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Phys. Rev. E 52, 1866 – Published 1 August, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.1866

Abstract

We study the effect of anisotropic diffusion on the one-dimensional annihilation reaction kA→inert with partial reaction probabilities when hard-core particles meet in groups of k nearest neighbors. Based on scaling arguments, mean-field approaches, and random-walk considerations, we argue that the spatial anisotropy introduces no appreciable changes as compared to the isotropic case. Our conjectures are supported by numerical simulations for slow reaction rates, for k=2 and 4.

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Phys. Rev. E 52, 1866– Published 1 August, 1995
  • Received 28 October 1994

© 1995 American Physical Society

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