Hidden entropy production by fast variables

Chun, Hyun-Myung; Noh, Jae Dong

doi:10.1103/physreve.91.052128

Cited by 32 publications

(35 citation statements)

References 36 publications

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“…Many systems made of two or more interacting Brownian particles have been considered where each reservoir acts on a different particle (see, e.g., Refs. [5,37,40,41]). Various models of Feynman ratchets [42] fall for instance into this category [4,38,43,44].…”

Section: Introductionmentioning

confidence: 99%

Overdamped stochastic thermodynamics with multiple reservoirs

Murashita

Esposito

2016

Phys. Rev. E

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After establishing stochastic thermodynamics for underdamped Langevin systems in contact with multiple reservoirs, we derive its overdamped limit using timescale separation techniques. The overdamped theory is different from the naive theory that one obtains when starting from overdamped Langevin or Fokker-Planck dynamics and only coincides with it in the presence of a single reservoir. The reason is that the coarse-grained fast momentum dynamics reaches a nonequilibrium state, which conducts heat in the presence of multiple reservoirs. The underdamped and overdamped theory are both shown to satisfy fundamental fluctuation theorems. Their predictions for the heat statistics are derived analytically for a Brownian particle on a ring in contact with two reservoirs and subjected to a nonconservative force and are shown to coincide in the long-time limit.

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Section: Introductionmentioning

confidence: 99%

Overdamped stochastic thermodynamics with multiple reservoirs

Murashita

Esposito

2016

Phys. Rev. E

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“…Some time ago we suggested that the Schnakenberg entropy production is not an equality but only a lower bound for the actual entropy production in the environment [25]. This claim was first proven by Esposito [26] in a thermodynamic setting and then developed further in the context of hidden entropy production [27,28]. In this approach the subsystems are always in contact with heat baths which allows one to quantify the corresponding energy, work, heat transfer, and entropy flow.…”

Section: Introductionmentioning

confidence: 99%

On entropy production in nonequilibrium systems

Ziener¹,

Maritan²,

Hinrichsen³

2015

J. Stat. Mech.

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Abstract. In this paper we discuss the meaning of the Schnakenberg formula for entropy production in non-equilibrium systems. To this end we consider a nonequilibrium system as part of a larger isolated system which includes the environment. We prove that the Schnakenberg formula provides only a lower bound to the actual entropy production in the environment. This is also demonstrated in the simplest example of a three-state clock model.

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“…(1). On the other hand, the FT is not expected to hold, if the total entropy production is measured by considering only system A [32][33][34][35][36][37][38][39][40]. Therefore, any deviations from the FT as given by eq.…”

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confidence: 99%

Fluctuation theorem for entropy production of a partial system in the weak-coupling limit

Gupta

Sabhapandit

2016

EPL

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Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation of the steady state fluctuation theorem for the partial entropy production of the observed system. We give a general mechanism due to which the violation of the fluctuation theorem can be significant, even for weak coupling. We analytically demonstrate on a realistic model system that this mechanism can be realized by applying an external random force to the system. In other words, we find a new fluctuation theorem for the entropy production of a partial system, in the limit of weak coupling.

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Hidden entropy production by fast variables

Cited by 32 publications

References 36 publications

Overdamped stochastic thermodynamics with multiple reservoirs

Overdamped stochastic thermodynamics with multiple reservoirs

On entropy production in nonequilibrium systems

Fluctuation theorem for entropy production of a partial system in the weak-coupling limit

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