Stochastic thermodynamics for Ising chain and symmetric exclusion process

Toral, Raúl; Broeck, C. Van den; Escaff, Daniel; Lindenberg, Katja

doi:10.1103/physreve.95.032114

Cited by 2 publications

(2 citation statements)

References 22 publications

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“…with a 0 = q * | η C =0 + ≈ 0.083 222, which is the solution of 2/(1− 2a 0 ) = ln[(1 − a 0 )/a 0 ]. The same expression was reported previously in equivalent models [18,23]. We can compare η op with the conventional Curzon-Ahlborn (CA) efficiency [3][4][5] as with the expansion form…”

Section: Efficiency At Maximum Power: Global Optimizationmentioning

confidence: 74%

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Nonuniversality of heat-engine efficiency at maximum power

Lee

Park

2018

Phys. Rev. E

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We study the efficiency of a simple quantum dot heat engine at maximum power. In contrast to the quasistatically operated Carnot engine whose efficiency reaches the theoretical maximum, recent research on more realistic engines operated in a finite time has revealed other classes of efficiencies such as the Curzon-Ahlborn efficiency maximizing the power. Such a power-maximizing efficiency has been argued to be always the half of the maximum efficiency up to the linear order near equilibrium under the tight-coupling condition between thermodynamic fluxes. We show, however, that this universality may break down for the quantum dot heat engine, depending on the constraint imposed on the engine control parameters (local optimization), even though the tight-coupling condition remains satisfied. It is shown that this deviation is critically related to the applicability of the linear irreversible thermodynamics. PACS numbers: 05.70.Ln, 05.70.-y, 05.40.a arXiv:1808.00219v2 [cond-mat.stat-mech]

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Section: Efficiency At Maximum Power: Global Optimizationmentioning

confidence: 74%

“…In this paper, we revisit the well-studied quantum dot heat engine model [18,19,23,24] and consider various kinds of local optimizations. The quantum dot engine is composed of a single quantum dot connected to two leads with characteristic temperatures and chemical potentials ( Fig.…”

Section: Introductionmentioning

confidence: 99%

Nonuniversality of heat-engine efficiency at maximum power

Lee

Park

2018

Phys. Rev. E

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Correlations and transport in exclusion processes with general finite memory

Teomy¹,

Metzler²

2019

J. Stat. Mech.

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We consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a d dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical density. Above the critical density, the effective diffusion coefficient decreases with the particles' propensity to move forward and below the critical density it increases with their propensity to move forward. If the correlations are neglected the critical density is exactly 1/2. We also derive a low-density approximation for the same time correlations between different sites. We perform simulations on a one-dimensional system with one-step memory and find good agreement between our analytical derivation and the numerical results. We also consider the previously unexplored special case of totally anti-persistent particles. Generally, the correlation length converges to a finite value. However in the special case of totally anti-persistent particles and density 1/2, the correlation length diverges with time. Furthermore, connecting a system of totally anti-persistent particles to external particle reservoirs creates a new phenomenon: In almost all systems, regardless of the precise details of the microscopic dynamics, when a system is connected to a reservoir, the mean density of particle at the edge is the same as the reservoir following the zeroth law of thermodynamics. In a totally anti-persistent system, however, the density at the edge is always higher than in the reservoir. We find a qualitative description of this phenomenon which agrees reasonably well with the numerics.Correlations and transport in exclusion processes with general finite memory

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Stochastic thermodynamics for Ising chain and symmetric exclusion process

Cited by 2 publications

References 22 publications

Nonuniversality of heat-engine efficiency at maximum power

Nonuniversality of heat-engine efficiency at maximum power

Correlations and transport in exclusion processes with general finite memory

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