Nonequilibrium Response and Frenesy

Basu, Urna; Maes, Christian

doi:10.1088/1742-6596/638/1/012001

Cited by 34 publications

(49 citation statements)

References 33 publications

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“…In recent years, however, it has often been emphasized that in true nonequilibrium regimes the Boltzmann-Clausius correspondence between heat and degeneracy, or between thermodynamic potential and fluctuations gets broken. From second order onward in any driving, the nonequilibrium statistics is described dynamically both by a dissipative, time-antisymmetric quantity (entropy production) ánd by kinetic time-symmetric estimators, sometimes called dynamical activity [31][32][33], traffic [63], or frenesy [37,39] (see also [40]).…”

Section: Discussion On Nondissipative Effectsmentioning

confidence: 99%

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Life efficiency does not always increase with the dissipation rate

Baiesi

Maes

2018

J. Phys. Commun.

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There does not exist a general positive correlation between important life-supporting properties and the entropy production rate. The simple reason is that nondissipative and time-symmetric kinetic aspects are also relevant for establishing optimal functioning. In fact those aspects are even crucial in the nonlinear regimes around equilibrium where we find biological processing on mesoscopic scales. We make these claims specific via examples of molecular motors, of circadian cycles and of sensory adaptation, whose performance in some regimes is indeed spoiled by increasing the dissipated power. We use the relation between dissipation and the amount of time-reversal breaking to keep the discussion quantitative also in effective models where the physical entropy production is not clearly identifiable.

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Section: Discussion On Nondissipative Effectsmentioning

confidence: 99%

“…the blowtorch theorem of Landauer [29,30]. A steady nonequilibrium condition for an open system is not only characterized by dissipation, but also by kinetic aspects that quantify the activity in the system and that are nondissipative by definition [16,29,[31][32][33][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Life efficiency does not always increase with the dissipation rate

Baiesi

Maes

2018

J. Phys. Commun.

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“…Note, however, that there is not a univocal prescription for the choice of W h through the function M 36,37 . For a general discussion of different symmetric factors in the transition rates, see for instance 38 , or 39,40 in the context of lattice gas models. For simplicity, here we take M = 0.…”

Section: E Other Forms Of Non-equilibrium Fdrmentioning

confidence: 99%

On the fluctuation-dissipation relation in non-equilibrium and non-Hamiltonian systems

Sarracino

Vulpiani

2019

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We review generalized Fluctuation-Dissipation Relations which are valid under general conditions even in "nonstandard systems", e.g. out of equilibrium and/or without a Hamiltonian structure. The response functions can be expressed in terms of suitable correlation functions computed in the unperperturbed dynamics. In these relations, typically one has nontrivial contributions due to the form of the stationary probability distribution; such terms take into account the interaction among the relevant degrees of freedom in the system. We illustrate the general formalism with some examples in non-standard cases, including driven granular media, systems with a multiscale structure, active matter and systems showing anomalous diffusion.The Fluctuation-Dissipation Theorem is a central result in equilibrium statistical mechanics. It allows one to express the linear response of a system to an external perturbation in terms of the spontaneous correlations, and its derivation is based on the detailed balance condition. In the last decades a great effort has been devoted to generalize this fundamental result to systems where detailed balance does not hold, because of the presence of some forms of dissipation, or energy and particle currents, that induce nonequilibrium conditions. Among the huge variety of systems belonging to this class, let us mention active and biological matter, driven granular media, molecular motors, and slow relaxing glasses. The derivation of a generalized Fluctuation-Dissipation Relation, and the investigation of its peculiar features in non-standard systems play therefore a central role in the building of a general theory of statistical mechanics beyond equilibrium.

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“…The nonequilibrium version of the heat capacity provides a simple demonstration of the fact that in general one cannot expect to predict the response of the energy to thermal variations just from the unperturbed correlations between energy and fluctuating heat flows, as one would do by using the standard fluctuation-dissipation theorem for equilibrium systems. Also non-dissipative aspects play a crucial role: The response includes correlations between the observable and the so-called frenesy of the system [3,4], which is a measure of how frantically the system wanders about in phase space. Eventually our example of generalised heat capacity should help understanding how to construct a theory for steady state thermodynamics.…”

Section: Resultsmentioning

confidence: 99%

“…Out of equilibrium, in contrast, there are multiple linear response theories [2][3][4], some based on the manipulation of the density of states [5][6][7][8][9], some on dynamical systems techniques for evolving observables [10][11][12], and some on a pathweight approach for stochastic systems [13][14][15][16][17]. The latter has revealed that entropy production is not sufficient for understanding the linear response of nonequilibrium systems.…”

Section: Introductionmentioning

confidence: 99%

Thermal response of nonequilibriumRCcircuits

Baiesi¹,

Ciliberto²,

Falasco³

et al. 2016

Phys. Rev. E

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We analyze experimental data obtained from an electrical circuit having components at different temperatures, showing how to predict its response to temperature variations. This illustrates in detail how to utilize a recent linear response theory for nonequilibrium overdamped stochastic systems. To validate these results, we introduce a reweighting procedure that mimics the actual realization of the perturbation and allows extracting the susceptibility of the system from steady state data. This procedure is closely related to other fluctuationresponse relations based on the knowledge of the steady state probability distribution. As an example, we show that the nonequilibrium heat capacity in general does not correspond to the correlation between the energy of the system and the heat flowing into it. Rather, also non-dissipative aspects are relevant in the nonequilbrium fluctuation response relations.

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Nonequilibrium Response and Frenesy

Cited by 34 publications

References 33 publications

Life efficiency does not always increase with the dissipation rate

Life efficiency does not always increase with the dissipation rate

On the fluctuation-dissipation relation in non-equilibrium and non-Hamiltonian systems

Thermal response of nonequilibriumRCcircuits

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