Reversibility in nonequilibrium steady states as a measure of distance from equilibrium

Jerez, Michael Jade Y.; Bonachita, Mike A.; Confesor, Mark Nolan P.

doi:10.1103/physreve.104.044609

Cited by 4 publications

(4 citation statements)

References 23 publications

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“…This was introduced by Evans et al [18] in a numerical simulation of a driven system but was later developed to be applicable in different dynamics [20,22] and also experimentally verified [23][24][25]. Fluctuation theorem for entropy production [19] shed light on the possibility of observing second law violation, known as Jarzynski relation [21], which expresses free-energy energy difference between two equilibrium states in terms of the exponential of the work done in a nonequilibrium process between the same two states, then later on generalized to transition between two nonequilibrium steady states (NESS) [26] and the distance between the NESS and equilibrium is quantified in an experiment [27].…”

Section: Introductionmentioning

confidence: 93%

Thermodynamic description of active brownian particle driven by fractional gaussian noise

Rangaig

2024

Phys. Scr.

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As a natural extension of the recent results on the thermodynamics of an active Brownian particle (self-propelled), we study the thermodynamics of an active Brownian particle (ABP) driven by fractional Gaussian noise (FGN). To serve as a prelude of the main results, we start from the conventional Markov process but with time dependent diffusion coefficient, where deviation in integral fluctuation relation (IFR) for total entropy production requires a general definition of the temperature, following the same case for a Brownian particle. In other words, the general temperature definition for this case is independent to the statistics of the rotational motion. We then proceed with the main problem of the paper, which is an active Brownian particle driven by fractional Gaussian noise. Under the assumption that self-propulsion is even under time-reversal, temperature is defined as well as the distance on how far the IFR for total entropy production deviates from the standard definition by adopting the standard definition of trajectory-level entropy and the joint probability of ABP. Furthermore, second law-like concept based on the found deviation is derived, as well as a generalized Clausius inequality. Lastly, magnitude of this deviation diminishes in the case of pure white noise.

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Section: Introductionmentioning

confidence: 93%

Thermodynamic description of active brownian particle driven by fractional gaussian noise

Rangaig

2024

Phys. Scr.

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“…Namely, while the independent confining potential strengths do not need to be strictly positive, we require the effective potential strength (as time-averaged over a full A → B → A cycle) to be positive. Granted that condition (31) is met, we start from Eq. ( 13) and follow the same procedure as above.…”

Section: Analytic Expression For the Entropy Productionmentioning

confidence: 99%

“…Furthermore, Brownian motion in an intermittent harmonic confining potential represents a realistic implementation of stochastic resetting [30][31][32][33][34]. Originally introduced to allow Brownian dynamics to reach a nonequilibrium stationary state (NESS) at long times [34,35], stochastic resetting has been under intense scrutiny over the last decade partly due to its non-trivial impact on first-passage statistics [35,36] and has imposed itself as a pillar of nonequilibrium statistical mechanics.…”

Section: Introductionmentioning

confidence: 99%

Non-equilibrium thermodynamics of diffusion in fluctuating potentials

Alston,

Cocconi,

Bertrand

2022

Preprint

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A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features of these processes in full details. Here we derive analytical results for the steady-state rate of entropy production in single particle systems driven away from equilibrium by the fluctuations of an external potential of arbitrary shapes. Subsequently, we provide exact results for a diffusive particle in a harmonic trap whose potential stiffness varies in time according to both discrete and continuous Markov processes. In particular, studying the case of a fully intermittent potential allows us to introduce an effective model of stochastic resetting for which it is possible to obtain finite non-negative entropy production. Altogether, this work lays the foundation for a non-equilibrium thermodynamic theory of fluctuating potentials, with immediate applications to stochastic resetting processes, fluctuations in optical traps and fluctuating interactions in living systems.

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“…from the laser intensity). Furthermore, Brownian motion in an intermittent harmonic confining potential represents a realistic implementation of stochastic resetting [30][31][32][33][34]. Originally introduced to allow Brownian dynamics to reach a non-equilibrium stationary state at long times [34,35], stochastic resetting has been under intense scrutiny over the last decade partly due to its non-trivial impact on first-passage statistics [35,36] and has imposed itself as a pillar of non-equilibrium statistical mechanics.…”

Section: Introductionmentioning

confidence: 99%

Non-equilibrium thermodynamics of diffusion in fluctuating potentials

Alston

Cocconi

Bertrand

2022

J. Phys. A: Math. Theor.

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A positive rate of entropy production at steady-state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features of these processes in full details. Here we derive analytical results for the steady-state rate of entropy production in single particle systems driven away from equilibrium by the fluctuations of an external potential of arbitrary shapes. Subsequently, we provide exact results for a diffusive particle in a harmonic trap whose potential stiffness varies in time according to both discrete and continuous Markov processes. In particular, studying the case of a fully intermittent potential allows us to introduce an effective model of stochastic resetting for which it is possible to obtain finite non-negative entropy production. Altogether, this work lays the foundation for a non-equilibrium thermodynamic theory of fluctuating potentials, with immediate applications to stochastic resetting processes, fluctuations in optical traps and fluctuating interactions in living systems.

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Reversibility in nonequilibrium steady states as a measure of distance from equilibrium

Cited by 4 publications

References 23 publications

Thermodynamic description of active brownian particle driven by fractional gaussian noise

Thermodynamic description of active brownian particle driven by fractional gaussian noise

Non-equilibrium thermodynamics of diffusion in fluctuating potentials

Non-equilibrium thermodynamics of diffusion in fluctuating potentials

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