Fluctuations, linear response and heat flux of an aging system

Gomez-Solano, Juan Ruben; Petrosyan, Artyom; Ciliberto, S.

doi:10.1209/0295-5075/98/10007

Cited by 21 publications

(39 citation statements)

References 36 publications

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“…This aging gel plays the role of a nonequilibrium bath for the probe particle. With the same experimental setup, the deviation from the fluctuation-theorem has been measured by evaluating separately the correlations and the response function [37]. A complete discussion of these interesting results is out of place here, but instead we show that the detailed fluctuation for the heat exchange obtained in this reference can be obtained using the framework developed in previous sections.…”

Section: B Overdamped Langevin Dynamicsmentioning

confidence: 73%

“…This state of affairs naturally persists for the nonstationary case. The distributions which are needed can only be calculated analytically in a few simple cases, such as in discrete models involving only a few states or for a particle in an harmonic trap obeying overdamped Langevin dynamics [36,37]. This is one reason for which there are only a handful of experimental verifications of the Hatano-Sasa relation.…”

Section: Discussionmentioning

confidence: 99%

“…(37). Since S na and T are both antisymmetric under the combination of the duality and the total reversal (…”

Section: A Fluctuation Theorems For Joint Probability Distributionsmentioning

confidence: 99%

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Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium

Verley

Lacoste

2012

Phys. Rev. E

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We present a general framework for systems which are prepared in a nonstationary nonequilibrium state in the absence of any perturbation and which are then further driven through the application of a time-dependent perturbation. By assumption, the evolution of the system must be described by Markovian dynamics. We distinguish two different situations depending on the way the nonequilibrium state is prepared; either it is created by some driving or it results from a relaxation following some initial nonstationary conditions. Our approach is based on a recent generalization of the Hatano-Sasa relation for nonstationary probability distributions. We also investigate whether a form of the second law holds for separate parts of the entropy production and for any nonstationary reference process, a question motivated by the work of M. Esposito et al. [Phys. Rev. Lett. 104, 090601 (2010)]. We find that although the special structure of the theorems derived in this reference is not recovered in the general case, detailed fluctuation theorems still hold separately for parts of the entropy production. These detailed fluctuation theorems contain interesting generalizations of the second law of thermodynamics for nonequilibrium systems.

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Section: B Overdamped Langevin Dynamicsmentioning

confidence: 73%

Section: Discussionmentioning

confidence: 99%

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Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium

Verley

Lacoste

2012

Phys. Rev. E

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“…For example, linear shear moduli can be inferred in passive microrheology from the thermal fluctuations of suspended colloidal particles via a generalized Stokes-Einstein relation [11][12][13][14]. On the other hand, in active microrheology, small-amplitude oscillatory forces can be applied to the particle, which enables the dynamical measurement of the linear viscoelastic response of the surrounding fluid [15][16][17][18]. More recent developments of active microrheology have aimed to probe nonlinear responses of complex fluids by perturbing their microstructure far away from equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamics of a colloidal particle driven through a viscoelastic fluid

Gomez-Solano

Bechinger

2015

New J. Phys.

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We study the transient motion of a colloidal particle actively dragged by an optical trap through different viscoelastic fluids (wormlike micelles, polymer solutions, and entangled λ-phage DNA). We observe that, after sudden removal of the moving trap, the particle recoils due to the recovery of the deformed fluid microstructure. We find that the transient dynamics of the particle proceeds via a double-exponential relaxation, whose relaxation times remain independent of the initial particle velocity whereas their amplitudes strongly depend on it. While the fastest relaxation mirrors the viscous damping of the particle by the solvent, the slow relaxation results from the recovery of the strained viscoelastic matrix. We show that this transient information, which has no counterpart in Newtonian fluids, can be exploited to investigate linear and nonlinear rheological properties of the embedding fluid, thus providing a novel method to perform transient rheology at the micron-scale.

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“…The question is how a system far from equilibrium reacts to a change of one or many of its bath temperatures. For example, one could be interested in the response to temperature variations of a glassy system undergoing a relaxation process [32,33]. Alternatively, a nonequilibrium steady state may be imposed by putting the system in contact with two reservoirs at different temperatures [34,35].…”

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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Fluctuations, linear response and heat flux of an aging system

Cited by 21 publications

References 36 publications

Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium

Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium

Transient dynamics of a colloidal particle driven through a viscoelastic fluid

Thermal response of nonequilibriumRCcircuits

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