Microscopic reversibility and heat for thermostatted systems

Takaaki Monnai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In order to test the universality of a symmetry for the trajectory obtained for Hamiltonian dynamics, we investigate the case of Nose-Hoover thermostatted dynamics with the use of a clear separation between the system and reservoir. Remarkably, the same symmetry as the Hamiltonian dynamics holds despite the presence of the dissipation, which causes the phase volume contraction. As a nontrivial application of the symmetry, we further show that the microscopic reversibility for open systems holds just as in the Hamiltonian dynamics. This bridges the first and second laws of thermodynamics under the proper definition of the work and heat.

Original languageEnglish
Article number042107
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4
Publication statusPublished - 2013 Apr 11

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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