Optimal protocols for minimal work processes in underdamped stochastic thermodynamics

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dc.creatorGomez-Marin, Alex
dc.creatorSchmiedl, Tim
dc.creatorSeifert, Udo
dc.date2008-03-03
dc.date2008-07-23
dc.date.accessioned2026-07-07T09:51:58Z
dc.date.available2026-07-07T09:51:58Z
dc.descriptionFor systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects, the optimal protocol has been found to involve jumps of the control parameter at the beginning and end of the process. Including the inertia term, we show that this feature not only persists but that even delta peak-like changes of the control parameter at both boundaries make the process optimal. These results are obtained by analyzing two simple paradigmatic cases: First, a Brownian particle dragged by a harmonic optical trap through a viscous fluid and, second, a Brownian particle subject to an optical trap with time-dependent stiffness. These insights could be used to improve free energy calculations via either thermodynamic integration or "fast growth" methods using Jarzynski's equality.
dc.descriptionpublished in J. Chem. Phys.: http://link.aip.org/link/?JCPSA6/129/024114/1
dc.identifierhttps://arxiv.org/abs/0803.0269
dc.identifierhttp://arxiv.org/abs/0803.0269
dc.identifierJ. Chem. Phys. 129, 024114 (2008)
dc.identifierdoi:10.1063/1.2948948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165429
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleOptimal protocols for minimal work processes in underdamped stochastic thermodynamics
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