Thermodynamic uncertainty relations in a linear system

Deepak Gupta () and Amos Maritan
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Deepak Gupta: Dipartimento di Fisica ‘G. Galilei’, INFN, Università di Padova
Amos Maritan: Dipartimento di Fisica ‘G. Galilei’, INFN, Università di Padova

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 2, 1-8

Abstract: Abstract We consider a Brownian particle in harmonic confinement of stiffness k, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature T. The center of harmonic trap is dragged under any arbitrary protocol. The thermodynamic uncertainty relations for both position of the particle and current at time t are obtained using the second law of thermodynamics as well as the positive semi-definite property of the correlation matrix of work and degrees of freedom of the system for both underdamped and overdamped cases. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10019-4

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