Exact results for diffusion-limited reactions with synchronous dynamics.

A method is introduced allowing one to solve exactly the reactions A+A\ensuremath{\rightarrow}inert and A+A\ensuremath{\rightarrow}A on the one-dimensional lattice with synchronous diffusional dynamics (simultaneous hopping of all particles). Exact connections are found relating densities and certain correlation properties of these two reactions at all times. Asymptotic behavior at large times as well as scaling form describing the regime of low initial density are derived explicitly.

• Publication year

  1993

• Venue

  Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

• Publication date

  1993-10-31

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.50.50arXiv cond-mat/9310079PMID 9961943
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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