Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

Ghosal, Aishani; Bisker, Gili

doi:10.1039/d2cp03064k

Cited by 13 publications

(6 citation statements)

References 110 publications

(219 reference statements)

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“…However, in the present model, the observable variable is not the one undergoing resets. Hence, it would be interesting to investigate bounds on the thermodynamic cost based on partial accessible information, a topic which has gained considerable attention in the past decade [74][75][76][77][78][79][80][81][82][83].…”

Section: Discussionmentioning

confidence: 99%

Dynamics of inertial particles under velocity resetting

Olsen,

Löwen

2024

J. Stat. Mech.

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We investigate stochastic resetting in coupled systems involving two degrees of freedom, where only one variable is reset. The resetting variable, which we think of as hidden, indirectly affects the remaining observable variable via correlations. We derive the Fourier–Laplace transforms of the observable variable’s propagator and provide a recursive relation for all the moments, facilitating a comprehensive examination of the process. We apply this framework to inertial transport processes where we observe the particle position while the velocity is hidden and is being reset at a constant rate. We show that velocity resetting results in a linearly growing spatial mean squared displacement at later times, independently of reset-free dynamics, due to resetting-induced tempering of velocity correlations. General expressions for the effective diffusion and drift coefficients are derived as a function of the resetting rate. A non-trivial dependence on the rate may appear due to multiple timescales and crossovers in the reset-free dynamics. An extension that incorporates refractory periods after each reset is considered, where post-resetting pauses can lead to anomalous diffusive behavior. Our results are of relevance to a wide range of systems, such as inertial transport where the mechanical momentum is lost in collisions with the environment or the behavior of living organisms where stop-and-go locomotion with inertia is ubiquitous. Numerical simulations for underdamped Brownian motion and the random acceleration process confirm our findings.

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Section: Discussionmentioning

confidence: 99%

Dynamics of inertial particles under velocity resetting

Olsen,

Löwen

2024

J. Stat. Mech.

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“…Therefore, in recent years, a lot of attempts have been made to provide estimations or bounds on EP from the measurement of currents directly accessible in experiments. This led to the development of the so-called thermodynamic uncertainty relations, opening a large field of research [7,[35][36][37][38][39][40][41][42].…”

Section: Inference Of Time-reversal Asymmetrymentioning

confidence: 99%

Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester

Costanzo,

Baldassarri,

Lo Schiavo

et al. 2023

Symmetry

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We consider the problem of assessing the non-equilibrium behavior of a system from the study of time series. In particular, we analyze experimental data from a piezoelectric energy harvester driven by broadband random vibrations where the extracted power and the relative tip displacement can be simultaneously measured. We compute autocorrelation and cross-correlation functions of these quantities in order to investigate the system properties under time reversal. We support our findings with numerical simulations of a linear underdamped Langevin equation, which very well describes the dynamics and fluctuations of the energy harvester. Our study shows that, due to the linearity of the system, from the analysis of a single variable, it is not possible to evidence the non-equilibrium nature of the dynamics. On the other hand, when cross-correlations are considered, the irreversible nature of the dynamics can be revealed.

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“…Whether and how these concepts can be applied to systems with an underlying continuous dynamics, like an overdamped Langevin dynamics, seems to have been explored less extensively yet. One route is to lump the continuous states into discrete ones [18][19][20] using for example Kramer's rates [21]. However, except for limiting cases, state-lumping yields an effective non-Markovian dynamics, which typically prevents recovering the full entropy production [22].…”

Section: Introductionmentioning

confidence: 99%

Entropy production from waiting-time distributions for overdamped Langevin dynamics

Meyberg,

Degünther,

Seifert

2024

J. Phys. A: Math. Theor.

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For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an entropy estimator, which is exact in the case of a uni-cyclic network. We adopt this framework to overdamped Langevin dynamics, where such transitions have finite duration. By introducing milestones based on the observation of a particle at at least two milestones and an additional third event, we identify an entropy estimator that becomes exact for driven motion along a one-dimensional potential.

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Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

Abstract: A lower bound on the total entropy production rate is inferred from the time-irreversibility in partially observed and coarsed-grained systems operating far from equilibrium.

Cited by 13 publications

References 110 publications

Dynamics of inertial particles under velocity resetting

Dynamics of inertial particles under velocity resetting

Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester

Entropy production from waiting-time distributions for overdamped Langevin dynamics

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