Dissipation: The Phase-Space Perspective Export

@article{citeulike:1137187, 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 Wdiss=W-F=kTD(||)=kTln(/), where and 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(||) is the relative entropy of versus . 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.}, author = {Kawai, R. and Parrondo, J. M. R. and Van den Broeck, C.}, citeulike-article-id = {1137187}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000008080602000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/e080602}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.98.080602}, doi = {10.1103/PhysRevLett.98.080602}, journal = {Physical Review Letters}, keywords = {free\_energy, out\_of\_equilibrium, stochastic\_processes, work\_theorem}, number = {8}, pages = {080602+}, posted-at = {2009-09-15 16:47:43}, priority = {2}, publisher = {APS}, title = {Dissipation: The Phase-Space Perspective}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.080602}, volume = {98}, year = {2007} }

TY - JOUR ID - citeulike:1137187 L3 - citeulike-article-id:1137187 N2 - 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 Wdiss=W-F=kTD(||)=kTln(/), where and 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(||) is the relative entropy of versus . 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. IS - 8 JF - Physical Review Letters TI - Dissipation: The Phase-Space Perspective PB - APS VL - 98 SP - 080602 KW - free_energy KW - out_of_equilibrium KW - stochastic_processes KW - work_theorem AU - Kawai, R AU - Parrondo, JMR AU - Van den Broeck, C PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.080602 ER -