Dissipation: The phase-space perspective
| dc.creator | Kawai, R. | |
| dc.creator | Parrondo, J. M. R. | |
| dc.creator | Broeck, C. Van den | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T09:38:39Z | |
| dc.date.available | 2026-07-07T09:38:39Z | |
| dc.description | 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 $<W_{diss} > = < W > -ΔF =kT D(ρ\|\widetildeρ)= kT < \ln (ρ/\widetildeρ)>$, where $ρ$ and $\widetildeρ$ 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. $D(ρ\|\widetildeρ)$ is the relative entropy of $ρ$ versus $\widetildeρ$. 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. | |
| dc.description | 4 pages, 3 figures (4 figure files), accepted for PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701397 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701397 | |
| dc.identifier | Phys. Rev. Lett. 98 (2007), 080602 | |
| dc.identifier | doi:10.1103/PhysRevLett.98.080602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160883 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dissipation: The phase-space perspective | |
| dc.type | text |