Dissipation: The phase-space perspective

Academic Article

Abstract

  • We show, through a refinement of the work theorem, that the average dissipation, upon perturbing a Hamiltonian system arbitrarily far out of equilibrium in a transition between two canonical equilibrium states, is exactly given by W diss W-δF=kTD(p∥p)kt in p/p, where ρ and ρ are the phase-space density of the system measured at the same intermediate but otherwise arbitrary point in time, for the forward and backward process. D(ρ ρ ) is the relative entropy of ρ versus ρ. This result also implies general inequalities, which are significantly more accurate than the second law and include, as a special case, the celebrated Landauer principle on the dissipation involved in irreversible computations. © 2007 The American Physical Society.
  • Authors

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    Digital Object Identifier (doi)

    Author List

  • Kawai R; Parrondo JMR; Van Den Broeck C
  • Volume

  • 98
  • Issue

  • 8