Refined Second Law of Thermodynamics for fast random processes
Erik Aurell, Krzysztof Gaw\c{e}dzki, Carlos Mej\'ia-Monasterio, Roya, Mohayaee, Paolo Muratore-Ginanneschi
TL;DR
This paper presents a refined Second Law of Thermodynamics applicable to mesoscopic stochastic processes, utilizing optimal mass transport theory to provide more precise bounds on entropy production.
Contribution
It introduces a novel refinement of the Second Law for Langevin processes using Monge-Kantorovich optimal transport, applicable to systems driven by various forces.
Findings
Numerical analysis confirms the refined law's validity for optical tweezer experiments.
The approach provides tighter bounds on entropy production in mesoscopic systems.
The method bridges thermodynamics and optimal transport theory.
Abstract
We 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. General discussion is illustrated by numerical analysis of a model for micron-size particle manipulated by optical tweezers.
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