The prefactor of the stationary probability distribution in variational non-equilibrium thermodynamics

✍ Scribed by Bernard Gaveau; Michel Moreau

• Publisher: Elsevier Science
• Year: 2002
• Tongue: French
• Weight: 196 KB
• Volume: 126
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/s0007-4497(02)01133-8

✦ Synopsis

According to the Kubo Approximation in the large volume asymptotic, the stationary distribution probability of a Master equation can be approximated as U 0 (x) exp(-V Φ). Here V is the volume, Φ is the information potential which generalizes the free energy to non-equilibrium situation and U 0 is a prefactor obtained by solving a first order partial differential equation. In this article, we study the properties of U 0 and prove that it can be obtained by integration along the trajectories of a certain vector field. We also show that these trajectories cannot be chaotic. This is necessary in order to insure that the Kubo approximation is valid.