Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Stable, Angel L. L.; Noa, C. E. Fernández; Oropesa, William Gabriel Carreras; Fiore, Carlos E.

doi:10.1103/physrevresearch.2.043016

Cited by 18 publications

(24 citation statements)

References 46 publications

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“…where we used the expressions for H i j and L i j given in Eqs. (90) and (91). Now, in the first product we exchange the order of the two groups of factors u¡ ss i and u¡ ss j u.…”

Section: Relaxation To Equilibriummentioning

confidence: 99%

“…Then, a general theory for the linear stochastic thermodynamics of periodically driven Markovian systems has been developed by considering all Fourier components of the involved quantities [87,88]. Also, systems with spatially periodic potentials or sequentially exposed to different reservoirs have been investigated to better understand the implications of the Onsager reciprocity relations [89][90][91]. Fluctuation theorems have been used to bound the thermodynamic currents in periodically driven systems [92,93].…”

Section: Introductionmentioning

confidence: 99%

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Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics

Giordano

2021

Phys. Rev. E

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We study the relation between stochastic thermodynamics and non-equilibrium thermodynamics by evaluating the entropy production and the relation between fluxes and forces in a harmonic system with N particles in contact with N different reservoirs. We suppose that the system is in a non-equilibrium stationary state in a first phase and we study the relaxation to equilibrium in a second phase. During this relaxation, we can identify the linear relation between fluxes and forces satisfying the Onsager reciprocity and we obtain a nonlinear expression for the entropy production. Only when forces and fluxes are small, the entropic production turns into a quadratic form in the forces, as predicted by the Onsager theory.

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“…where we used the expressions for H i j and L i j given in Eqs. (90) and (91). Now, in the first product we exchange the order of the two groups of factors u¡ ss i and u¡ ss j u.…”

Section: Relaxation To Equilibriummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics

Giordano

2021

Phys. Rev. E

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“…We, in the framework of collision model (or repeated interaction model), will investigate the behaviors of steady heat current between the system and the TTB (also named target heat current-THC, hereafter) and thermal functions of the system with a CAB. Here, it is pointed out that the collision model has become a convenient and powerful tool for studying the dynamics of open quantum system [74], especially for the situations of non-equilibrium bath with quantum effects [75][76][77]. Thus, so far, the general thermodynamic framework of collision models has been explored deeply and established [35,[78][79][80].…”

Section: Introductionmentioning

confidence: 99%

Heat Modulation on Target Thermal Bath via Coherent Auxiliary Bath

et al. 2021

Entropy

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We study a scheme of thermal management where a three-qubit system assisted with a coherent auxiliary bath (CAB) is employed to implement heat management on a target thermal bath (TTB). We consider the CAB/TTB being ensemble of coherent/thermal two-level atoms (TLAs), and within the framework of collision model investigate the characteristics of steady heat current (also called target heat current (THC)) between the system and the TTB. It demonstrates that with the help of the quantum coherence of ancillae the magnitude and direction of heat current can be controlled only by adjusting the coupling strength of system-CAB. Meanwhile, we also show that the influences of quantum coherence of ancillae on the heat current strongly depend on the coupling strength of system—CAB, and the THC becomes positively/negatively correlated with the coherence magnitude of ancillae when the coupling strength below/over some critical value. Besides, the system with the CAB could serve as a multifunctional device integrating the thermal functions of heat amplifier, suppressor, switcher and refrigerator, while with thermal auxiliary bath it can only work as a thermal suppressor. Our work provides a new perspective for the design of multifunctional thermal device utilizing the resource of quantum coherence from the CAB.

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“…Distintos trabalhos abordam as condições em que sistemas colisionais como o modelado aqui operam como máquina [16,25,[27][28][29][30]. Em geral, é necessária a existência de um fluxo…”

Section: 219)unclassified

“…Collisional models, e.g., a system interacting sequentially and repeatedly with distinct environments (instead of continuous interaction with all the reservoirs), have been considered as a suitable description of engineered reservoirs [28]. Among the distinct situations for that, we mention the case of quantum systems, in which the reservoir is conveniently represented as a sequential collection of uncorrelated particles [29,30].…”

Section: Maximal Power For Heat Engines: Role Of Asymmetric Interaction Timesmentioning

confidence: 99%

Termodinâmica estocástica e eficiência para máquinas térmicas colisionais

Filho¹,

Francisco²

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The performance of endoreversible thermal machines operating at finite power regime constitutes one of the main challenges of nonequilibrium thermodynamics, for classical and quantum systems. In this master's thesis we study the thermodynamic properties of collisional models of quantum dot and Brownian particle nanoscale thermal engines. In the present case, at each time interval, the system interact with a different thermal reservoir and under a different external force (in the Brownian case). The thermal properties are characterized using stochastic thermodynamics and the performance optimization of the engine in relation to different parameters (asymmetric times, forces and other quantities) is analyzed. Our results show that the present approach constitutes an adequate tool / methodology useful in the study of thermal engines working in finite time, in contrast to an idealized Carnot's machine.

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Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Cited by 18 publications

References 46 publications

Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics

Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics

Heat Modulation on Target Thermal Bath via Coherent Auxiliary Bath

Termodinâmica estocástica e eficiência para máquinas térmicas colisionais

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