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Communications in Mathematical Physics

, Volume 65, Issue 3, pp 203–230 | Cite as

Convergence to equilibrium in a system of reacting polymers

  • Michael Aizenman
  • Thor A. Bak
Article

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.

Keywords

Polymer Entropy Neural Network Free Energy Statistical Physic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Michael Aizenman
    • 1
  • Thor A. Bak
    • 2
  1. 1.Department of PhysicsPrinceton UniversityPrincetonUSA
  2. 2.Chemistry Laboratory IIIUniversity of CopenhagenCopenhagenDenmark

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