Archivo Digital UPM: No conditions. Results ordered -Date Deposited. 2019-07-22T23:14:46ZEPrintshttp://oa.upm.es/style/images/logo-archivo-digital.pnghttp://oa.upm.es/2013-06-24T12:50:48Z2018-12-17T07:01:55Zhttp://oa.upm.es/id/eprint/15606This item is in the repository with the URL: http://oa.upm.es/id/eprint/156062013-06-24T12:50:48ZRefined second law of thermodynamics for fast random processesWe establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based on the Monge-Kantorovich optimal mass transport and becomes relevant for processes far from quasi-stationary regime. General discussion is illustrated by numerical analysis of the optimal memory erasure protocol for a model for micron-size particle manipulated by optical tweezers.Eric AurellKristof GawedzkiCarlos Mejia-MonasterioRoya MohayaeePaolo Muratore-Ginanneschi2011-12-13T12:42:00Z2018-12-17T06:54:39Zhttp://oa.upm.es/id/eprint/9830This item is in the repository with the URL: http://oa.upm.es/id/eprint/98302011-12-13T12:42:00ZOptimal Protocols and Optimal Transport in Stochastic ThermodynamicsThermodynamics of small systems has become an important field of statistical physics. Such systems
are driven out of equilibrium by a control, and the question is naturally posed how such a control can be
optimized. We show that optimization problems in small system thermodynamics are solved by
(deterministic) optimal transport, for which very efficient numerical methods have been developed, and
of which there are applications in cosmology, fluid mechanics, logistics, and many other fields. We show,
in particular, that minimizing expected heat released or work done during a nonequilibrium transition in
finite time is solved by the Burgers equation and mass transport by the Burgers velocity field. Our
contribution hence considerably extends the range of solvable optimization problems in small system
thermodynamics.Eric AurellCarlos Mejia-MonasterioPaolo Muratore-Ginanneschi2011-12-13T12:29:06Z2018-12-17T06:56:12Zhttp://oa.upm.es/id/eprint/9833This item is in the repository with the URL: http://oa.upm.es/id/eprint/98332011-12-13T12:29:06ZBoundary layers in stochastic thermodynamicsWe study the problem of optimizing released heat or dissipated work in stochastic thermodynamics.
In the overdamped limit these functionals have singular solutions, previously interpreted as
protocol jumps. We show that a regularization, penalizing a properly defined acceleration, changes
the jumps into boundary layers of finite width. We show that in the limit of vanishing boundary
layer width no heat is dissipated in the boundary layer, while work can be done. We further give
a new interpretation of the fact that the optimal protocols in the overdamped limit are given by
optimal deterministic transport (Burgers equation).Eric AurellCarlos Mejia-MonasterioPaolo Muratore-Ginanneschi