Work fluctuations for a Brownian particle between two thermostats

Visco, Paolo

doi:10.1088/1742-5468/2006/06/p06006

Cited by 126 publications

(200 citation statements)

References 18 publications

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“…When such small-scale machines are driven by external forces, like temperature or concentration gradient, shear flow, time-dependent external field, etc., observables such as work done, heat flow, power injection, entropy production, etc., become stochastic quantities [18][19][20][21][22][23][24][25][26][27][28][29][30]. The probability distributions of these quantities have richer information than their ensemble average values.…”

Section: Introductionmentioning

confidence: 99%

Stochastic efficiency of an isothermal work-to-work converter engine

Gupta

Sabhapandit

2017

Phys. Rev. E

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We investigate the efficiency of an isothermal Brownian work-to-work converter engine, composed of a Brownian particle coupled to a heat bath at a constant temperature. The system is maintained out of equilibrium by using two external time-dependent stochastic Gaussian forces, where one is called load force and the other is called drive force. Work done by these two forces are stochastic quantities. The efficiency of this small engine is defined as the ratio of stochastic work done against load force to stochastic work done by the drive force. The probability density function as well as large deviation function of the stochastic efficiency are studied analytically and verified by numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Stochastic efficiency of an isothermal work-to-work converter engine

Gupta

Sabhapandit

2017

Phys. Rev. E

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“…We note that in principle the singular structure of the prefactor A(xx 0 , λ) can also influence the tails. This issue has been discussed in detail for the case of a particle driven by two heat reservoirs [42,43]. In the present context we only analyse the contribution arising from the singular structure of µ 0 (λ).…”

Section: B Branch Points and Tailsmentioning

confidence: 99%

Heat fluctuations and fluctuation theorems in the case of multiple reservoirs

Fogedby

Imparato

2014

J. Stat. Mech.

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We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry leads to a generalisation of the asymptotic fluctuation theorem for large deviations at large times. As a result the presence of multiple reservoirs influence the tails in the heat distribution. The symmetry, moreover, allows for a simple derivation of a recent exact fluctuation theorem valid at all times. Including a time dependent work protocol we also present a derivation of the integral fluctuation theorem.

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“…When two heat baths are connected with a medium, heat flows from a higher temperature bath to a lower temperature one and the total entropy increases [13][14][15]. A toy model for this phenomenon in one dimension was studied thoroughly in Refs.…”

Section: Introductionmentioning

confidence: 99%

Hidden entropy production by fast variables

Chun

Noh

2015

Phys. Rev. E

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We investigate nonequilibrium underdamped Langevin dynamics of Brownian particles that interact through a harmonic potential with coupling constant K and are in thermal contact with two heat baths at different temperatures. The system is characterized by a net heat flow and an entropy production in the steady state. We compare the entropy production of the harmonic system with that of Brownian particles linked with a rigid rod. The harmonic system may be expected to reduce to the rigid rod system in the infinite K limit. However, we find that the harmonic system in the K → ∞ limit produces more entropy than the rigid rod system. The harmonic system has the center of mass coordinate as a slow variable and the relative coordinate as a fast variable. By identifying the contributions of the degrees of freedom to the total entropy production, we show that the hidden entropy production by the fast variable is responsible for the extra entropy production. We discuss the K dependence of each contribution.

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Work fluctuations for a Brownian particle between two thermostats

Cited by 126 publications

References 18 publications

Stochastic efficiency of an isothermal work-to-work converter engine

Stochastic efficiency of an isothermal work-to-work converter engine

Heat fluctuations and fluctuation theorems in the case of multiple reservoirs

Hidden entropy production by fast variables

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