Accession Number:

ADA162875

Title:

Fluctuations Near Homogeneous States of Chemical Reactions with Diffusion.

Descriptive Note:

Technical rept.,

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES

Personal Author(s):

Report Date:

1985-11-01

Pagination or Media Count:

31.0

Abstract:

Conditions are given under which a space-time jump Markov process describing the stochastic model of nonlinear chemical reactions with diffusion converges to the homogeneous state solution of the corresponding reaction-diffusion equation. The deviation is measured by a central limit theorem. This limit is a distribution valued Ornstein-Uhlenbeck process and can be represented as the mild solution of a certain stochastic partial differential equation.

Subject Categories:

  • Physical Chemistry
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE