Nonequilibrium and information: The role of cross correlations

Crisanti, A.; Puglisi, Andrea; Villamaina, Dario

doi:10.1103/physreve.85.061127

Cited by 116 publications

(136 citation statements)

References 41 publications

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“…on scales larger than few millimeters) is well described by the law of Coulomb friction [9][10][11]. In our analysis it becomes clear that the Coulomb model is too much coarse-grained and, for this reason, it neglects the dominant contribution to the FEP [12,13]. The proper thermodynamics is restored by taking into account the underlying thermostat.…”

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confidence: 85%

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Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Cerino

Puglisi

2015

EPL

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-In macroscopic systems, velocity-dependent phenomenological forces F (v) are used to model friction, feedback devices or self-propulsion. Such forces usually include a dissipative component which conceals the fast energy exchanges with a thermostat at the environment temperature T , ruled by a microscopic Hamiltonian H. The mapping (H, T ) → F (v) -even if effective for many purposes -may lead to applications of stochastic thermodynamics where an incomplete fluctuating entropy production (FEP) is derived. An enlighting example is offered by recent macroscopic experiments where dissipation is dominated by solid-on-solid friction, typically modelled through a deterministic Coulomb force F (v). Through an adaptation of the microscopic Prandtl-Tomlinson model for friction, we show how the FEP is dominated by the heat released to the T -thermostat, ignored by the macroscopic Coulomb model. This problem, which haunts several studies in the literature, cannot be cured by weighing the time-reversed trajectories with a different auxiliary dynamics: it is only solved by a more accurate stochastic modelling of the thermostat underlying dissipation.

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confidence: 85%

“…Such information is relevant or not, depending on the question one considers [12,13]. Microscopic variables are not really relevant for many observables: for instance, in the above example, the correct fluctuations of W coll are perfectly recovered even in the coarse-grained model.…”

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confidence: 99%

Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Cerino

Puglisi

2015

EPL

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“…coarse-graining the dynamical equations of a physical system by integrating out a sub-set of degrees of freedom typically reduces entropy production [30,31]. Further concrete systems with such scale-dependent entropy production are a harmonic chain of two Brownian particles in contact with two different heat baths, having finite entropy production which is reduced to zero when one of the Brownian oscillators is integrated out [32], and a dimer consisting of two Brownian particles at different temperatures with a harmonic (but stiff) vs. a rigid coupling [33].…”

Section: Introductionmentioning

confidence: 99%

Entropy production of a Brownian ellipsoid in the overdamped limit

2016

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We analyze the translational and rotational motion of an ellipsoidal Brownian particle from the viewpoint of stochastic thermodynamics. The particle's Brownian motion is driven by external forces and torques and takes place in an heterogeneous thermal environment where friction coefficients and (local) temperature depend on space and time. Our analysis of the particle's stochastic thermodynamics is based on the entropy production associated with single particle trajectories. It is motivated by the recent discovery that the overdamped limit of vanishing inertia effects (as compared to viscous fricion) produces a so-called "anomalous" contribution to the entropy production, which has no counterpart in the overdamped approximation, when inertia effects are simply discarded. Here, we show that rotational Brownian motion in the overdamped limit generates an additional contribution to the "anomalous" entropy. We calculate its specific form by performing a systematic singular perturbation analysis for the generating function of the entropy production. As a side result, we also obtain the (well-known) equations of motion in the overdamped limit. We furthermore investigate the effects of particle shape and give explicit expressions of the "anomalous entropy" for prolate and oblate spheroids and for near-spherical Brownian particles.

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“…Considering that f a is random, one is tempted to consider −γẋ + f a (t) as an effective bath and define a heat asẋ • [−γẋ + f a (t)]. However, the random force f a (t) is non-Markovian and therefore the standard recipe of stochastic thermodynamics brings in complications [34][35][36].…”

Section: Removing the Solvent From The Descriptionmentioning

confidence: 99%

Clausius Relation for Active Particles: What Can We Learn from Fluctuations

Puglisi

Marconi

2017

Entropy

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Many kinds of active particles, such as bacteria or active colloids, move in a thermostatted fluid by means of self-propulsion. Energy injected by such a non-equilibrium force is eventually dissipated as heat in the thermostat. Since thermal fluctuations are much faster and weaker than self-propulsion forces, they are often neglected, blurring the identification of dissipated heat in theoretical models. For the same reason, some freedom-or arbitrariness-appears when defining entropy production. Recently three different recipes to define heat and entropy production have been proposed for the same model where the role of self-propulsion is played by a Gaussian coloured noise. Here we compare and discuss the relation between such proposals and their physical meaning. One of these proposals takes into account the heat exchanged with a non-equilibrium active bath: such an "active heat" satisfies the original Clausius relation and can be experimentally verified.

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Nonequilibrium and information: The role of cross correlations

Cited by 116 publications

References 41 publications

Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Entropy production of a Brownian ellipsoid in the overdamped limit

Clausius Relation for Active Particles: What Can We Learn from Fluctuations

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