TY - JOUR
T1 - Reactions governed by a binomial redistribution process-The ehrenfest urn problem
AU - Schulten, Klaus
AU - Schulten, Zan
AU - Szabo, Attila
PY - 1980/3
Y1 - 1980/3
N2 - 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.
AB - 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.
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U2 - 10.1016/0378-4371(80)90170-3
DO - 10.1016/0378-4371(80)90170-3
M3 - Article
AN - SCOPUS:45949128287
SN - 0378-4371
VL - 100
SP - 599
EP - 614
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -