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math.DSJan 3, 2006
15
citations (OpenAlex)
authors
  • N. S. Dairbekov
  • G. P. Paternain
institutions
  • Kazakh-British Technical University
  • University of Cambridge
arXiv abstractPDF
paper

Entropy production in Gaussian thermostats

arXiv:math/0601039 · doi:10.1007/s00220-006-0117-y

Abstract

We show that an arbitrary Anosov Gaussian thermostat on a surface is dissipative unless the external field has a global potential.

References in corpus (2)

  • Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
  • The longitudinal KAM-cocycle of a magnetic flow

Cited by in corpus (7)

  • Holomorphic differentials, thermostats and Anosov flows
  • Hopf type rigidity for thermostats
  • Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle
  • Entropy production in thermostats II
  • Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms
  • Smooth orbit equivalence rigidity for dissipative geodesic flows
  • Thermostats without conjugate points
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