Volume 115, Number 6, September 2016
|Number of page(s)||7|
|Published online||04 November 2016|
Thermodynamic bounds on equilibrium fluctuations of a global or local order parameter
Laboratoire de Physico-Chimie Théorique - UMR CNRS Gulliver 7083, PSL Research University, ESPCI 10 rue Vauquelin, F-75231 Paris, France
Received: 29 July 2016
Accepted: 10 October 2016
We analyze thermodynamic bounds on equilibrium fluctuations of an order parameter, which are analogous to relations, which have been derived recently in the context of non-equilibrium fluctuations of currents. We discuss the case of global fluctuations when the order parameter is measured in the full system of interest, and local fluctuations, when the order parameter is evaluated only in a sub-part of the system. Using isometric fluctuation theorems, we derive thermodynamic bounds on the fluctuations of the order parameter in both cases. These bounds could be used to infer the value of the symmetry breaking field or the relative size of the observed sub-system to the full system from local fluctuations.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.-a – Thermodynamics
© EPLA, 2016
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