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Dissipation: The phase-space perspective | | R. Kawai
; J. M. R. Parrondo
; C. Van den Broeck
; | | Date: |
17 Jan 2007 | | Subject: | Statistical Mechanics | | 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 $<W_{diss} > = < W > -Delta F =kT D(
ho widetilde{
ho})= kT < ln (
ho/widetilde{
ho})>$, where $
ho$ and $widetilde{
ho}$ 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. $D(
ho widetilde{
ho})$ is the relative entropy of $
ho$ versus $widetilde{
ho}$. 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. | | Source: | arXiv, cond-mat/0701397 | | Other source: | [GID 510951] pmid17359081 | | Services: | Forum | Review | PDF | Favorites | |
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