Fluctuations and correlations in nonequilibrium systems

Noh, Jae Dong

doi:10.1088/1742-5468/2014/01/p01013

Cited by 12 publications

(21 citation statements)

References 51 publications

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“…(51), then, the integral can not approximated with the usual saddle-point solution, and one has to evaluate Eq. (39) carefully by taking into account of the singularities [20,21,56,57].…”

Section: Case 2: Singularity Contour Is Presentmentioning

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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“…(51), then, the integral can not approximated with the usual saddle-point solution, and one has to evaluate Eq. (39) carefully by taking into account of the singularities [20,21,56,57].…”

Section: Case 2: Singularity Contour Is Presentmentioning

confidence: 99%

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

Gupta

Sabhapandit

2017

Phys. Rev. E

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“…One can check that this identity is verified by all linear diffusion systems studied so far, both theoretically [2,7,8,[14][15][16][17] and experimentally [18,26], although it was unnoticed [27].An example is given in the Supplemental Material [24].…”

Section: Integral Fluctuation Theoremmentioning

confidence: 82%

“…This gives rise to exponential tails in the pdf of Q and is signaled by the presence of singularities in the corresponding characteristic function. Such temporal "boundary" effects that take place in systems with unbounded potentials are now well-documented, both theoretically [6][7][8][9][10][11][12][13][14][15][16][17] and experimentally [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Heat fluctuations for underdamped Langevin dynamics

Rosinberg¹,

Tarjus²,

Munakata³

2016

EPL

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Fluctuation theorems play a central role in nonequilibrium physics and stochastic thermodynamics. Here we derive an integral fluctuation theorem for the dissipated heat in systems governed by an underdamped Langevin dynamics. We show that this identity may be used to predict the occurrence of extreme events leading to exponential tails in the probability distribution functions of the heat and related quantities.

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“…In contrast to the previous works, our study focuses on the role of the slow and fast variable. Harmonic systems are analytically tractable [26][27][28][29][30][31]. We derive the formula for the entropy productions by the slow and fast variables as a function of the coupling constant, which will shed a light on the effect of the coarse graining.…”

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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Fluctuations and correlations in nonequilibrium systems

Cited by 12 publications

References 51 publications

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

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

Heat fluctuations for underdamped Langevin dynamics

Hidden entropy production by fast variables

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