Entropy of non-equilibrium stationary measures of boundary driven TASEP

• Author(s): Gonçalves, Patrícia ; Bernardin, Cédric ; Landim, Cláudio
• Date: 2013
• Persistent ID: http://hdl.handle.net/1822/25777
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Boundary driven asymmetric exclusion processes; Non-equilibrium stationary states; Quasi-potential; Phase transitions; Large deviations
• Document Type: Article
• Language: English

Description

Prova tipográfica We examine the entropy of non-equilibrium stationary states of boundary driven totally asymmetric simple exclusion processes. As a consequence, we obtain that the Gibbs-Shannon entropy of the non equilibrium stationary state converges to the Gibbs-Shannon entropy of the local equilibrium state. Moreover, we prove that its fluctuations are Gaussian, except when the mean displacement of particles produced by the bulk dynamics agrees with the particle flux induced by the density reservoirs in the maximal phase regime.