Inference of time irreversibility from incomplete information: Linear systems and its pitfalls

Lucente, Dario; Baldassarri, Andrea; Puglisi, Andrea; Vulpiani, Angelo; Viale, Massimiliano

doi:10.1103/physrevresearch.4.043103

Cited by 18 publications

(14 citation statements)

References 79 publications

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“…In case of equal temperatures the system evolves toward a thermal equilibrium state and the rotational motion is absent. Within the recent years, very diverse features and a behavior of pertinent properties characterizing the BG have been discussed in the literature for delta-correlated noises [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], for a time-dependent potential [37] and even for the noises with long-range temporal correlations [38,39].…”

Section: Introductionmentioning

confidence: 99%

Cooperative dynamics in two-component out-of-equilibrium systems: molecular ‘spinning tops’

Dotsenko¹,

Viot²,

Imparato³

et al. 2022

J. Stat. Mech.

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We study the two-dimensional Langevin dynamics of a mixture of two types of particles that live respectively at two different temperatures. Dynamics is constrained by an optical trap and the dissimilar species interact via a quadratic potential. We realize that the system evolves toward a peculiar non-equilibrium steady-state with a non-zero probability current possessing a non-zero curl. This implies that if the particles were to have a finite-size and therefore a rotational degree of freedom, they would experience a torque generated by the non-zero local curl and spin around their geometric centers, like ‘spinning top’ toys. Our analysis shows that the spinning motion is correlated and also reveals an emerging cooperative behavior of the spatial components of the probability currents of dissimilar species.

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Section: Introductionmentioning

confidence: 99%

Cooperative dynamics in two-component out-of-equilibrium systems: molecular ‘spinning tops’

Dotsenko¹,

Viot²,

Imparato³

et al. 2022

J. Stat. Mech.

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“…where C = C(0) represents the covariance of X. The equilibrium conditions are expressed through the Onsager relations (see [11,27,55] or appendix D)…”

Section: The 'Poissonian' Gyratormentioning

confidence: 99%

“…Among the interesting issues which deserve investigation, one should include the design of efficient methods to characterise the 'degree of irreversibility', something also called 'distance from equilibrium' [7], which typically requires a proper modelling with a suitable mathematical description of the system [8][9][10][11][12][13]. In this paper we discuss the role of Gaussian or non-Gaussian statistics for discriminating the degree of irreversibility of a system.…”

Section: Introductionmentioning

confidence: 99%

Statistical features of systems driven by non-Gaussian processes: theory & practice

Lucente,

Puglisi,

Viale

et al. 2023

J. Stat. Mech.

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Nowadays many tools, e.g. fluctuation relations, are available to characterize the statistical properties of non-equilibrium systems. However, most of these tools rely on the assumption that the driving noise is normally distributed. Here we consider a class of Markov processes described by Langevin equations driven by a mixture of Gaussian and Poissonian noises, focusing on their non-equilibrium properties. In particular, we prove that detailed balance does not hold even when correlation functions are symmetric under time reversal. In such cases, a breakdown of the time reversal symmetry can be highlighted by considering higher order correlation functions. Furthermore, the entropy production may be different from zero even for vanishing currents. We provide analytical expressions for the average entropy production rate in several cases. We also introduce a scale dependent estimate for entropy production, suitable for inference from experimental signals. The empirical entropy production allows us to discuss the role of spatial and temporal resolutions in characterizing non-equilibrium features. Finally, we revisit the Brownian gyrator introducing an additional Poissonian noise showing that it behaves as a two dimensional linear ratchet. It has also the property that when Onsager relations are satisfied its entropy production is positive although it is minimal. We conclude discussing estimates of entropy production for partially accessible systems, comparing our results with the lower bound provided by the thermodynamic uncertainty relations.

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“…To support this claim, it was shown that indeed the mean torque is non-zero in such non-equilibrium conditions. Further analyses evaluated the mean specific angular velocity, [14][15][16] and examined various aspects of the dynamical and steady-state behaviours for delta-correlated in time noises, 10,11,[18][19][20][21][22][23][24][25][26] for the BG in the quantum regime, 27 as well as for the noises with long-ranged temporal correlations. 28,29 Apart of that, the effects of inertia 16,17 on the performance of the BG, of anisotropy of fluctuations, 30,31 and the statistics of the entropy production 32 have been studied.…”

Section: Introductionmentioning

confidence: 99%

Destructive effect of fluctuations on the performance of a Brownian gyrator

Viot,

Argun,

Volpe

et al. 2024

Soft Matter

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Inference of time irreversibility from incomplete information: Linear systems and its pitfalls

Cited by 18 publications

References 79 publications

Cooperative dynamics in two-component out-of-equilibrium systems: molecular ‘spinning tops’

Cooperative dynamics in two-component out-of-equilibrium systems: molecular ‘spinning tops’

Statistical features of systems driven by non-Gaussian processes: theory & practice

Destructive effect of fluctuations on the performance of a Brownian gyrator

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