Communications in Mathematical Physics

, Volume 269, Issue 2, pp 533–543 | Cite as

Entropy Production in Gaussian Thermostats

  • Nurlan S. Dairbekov
  • Gabriel P. PaternainEmail author


We show that an arbitrary Anosov Gaussian thermostat on a surface is dissipative unless the external field has a global potential. This result is obtained by studying the cohomological equation of more general thermostats using the methods in [3].


Entropy Production Volume Form Closed Orbit Constant Negative Curvature Nonequilibrium Statistical Mechanic 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Kazakh British Technical UniversityAlmatyKazakhstan
  2. 2.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeEngland

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