Reactions governed by a binomial redistribution process-The ehrenfest urn problem

Klaus Schulten, Zan Schulten, Attila Szabo

Research output: Contribution to journalArticle

Abstract

A distributive process of the binomial type in a one-dimensional discrete space with an absorbing barrier is studied. A simple expression for the particle number Σ(t) is derived. The analysis is based on recursion relationships and sum rules for the underlying eigenvectors, the Krawtchouk polynomials. The first passage time is determined, and the validity of the passage time approximation to Σ(t) tested. The continuous limit, corresponding to the diffusion and reaction of a harmonically bound particle, is briefly described.

Original languageEnglish (US)
Pages (from-to)599-614
Number of pages16
JournalPhysica A: Statistical Mechanics and its Applications
Volume100
Issue number3
DOIs
StatePublished - Mar 1980

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Redistribution
Krawtchouk Polynomials
Passage Time
First Passage Time
Sum Rules
Absorbing
Recursion
Eigenvector
sum rules
eigenvectors
polynomials
Approximation
approximation
Relationships

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Reactions governed by a binomial redistribution process-The ehrenfest urn problem. / Schulten, Klaus; Schulten, Zan; Szabo, Attila.

In: Physica A: Statistical Mechanics and its Applications, Vol. 100, No. 3, 03.1980, p. 599-614.

Research output: Contribution to journalArticle

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