Convergence to equilibrium in a system of reacting polymers

Michael Aizenman, Thor A. Bak

Research output: Contribution to journalArticle

122 Scopus citations

Abstract

Chemical kinetics of a system of reacting polymers is modelled by an equation which shares certain properties with Boltzmann's equation. Being more tractable, however, this evolution may be of an illustrative value for the latter. The existence and uniqueness of solutions are analysed. We derive an entropy production inequality which is used to prove global exponential decay of the free energy. With its aid a uniform rate for strong convergence to equilibrium is proven. The generators of the linearlized flow at the vicinity of the equilibria are diagonalized.

Original languageEnglish (US)
Pages (from-to)203-230
Number of pages28
JournalCommunications In Mathematical Physics
Volume65
Issue number3
DOIs
StatePublished - Oct 1 1979

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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