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Non-Boltzmann stationary distributions and nonequilibrium relations in active baths

Journal article
Authors Aykut Argun
Ali Reza Moradi
Erça Pinçe
Gokhan Baris Bagci
Alberto Imparato
Giovanni Volpe
Published in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume 94
ISSN 1539-3755
Publication year 2016
Published at Department of Physics (GU)
Language en
Subject categories Mesoscopic physics, Biological physics, Physical Sciences


Most natural and engineered processes, such as biomolecular reactions, protein folding, and population dynamics, occur far from equilibrium and therefore cannot be treated within the framework of classical equilibrium thermodynamics. Here we experimentally study how some fundamental thermodynamic quantities and relations are affected by the presence of the nonequilibrium fluctuations associated with an active bath. We show in particular that, as the confinement of the particle increases, the stationary probability distribution of a Brownian particle confined within a harmonic potential becomes non-Boltzmann, featuring a transition from a Gaussian distribution to a heavy-tailed distribution. Because of this, nonequilibrium relations (e.g., the Jarzynski equality and Crooks fluctuation theorem) cannot be applied. We show that these relations can be restored by using the effective potential associated with the stationary probability distribution. We corroborate our experimental findings with theoretical arguments.

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