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We consider two specific thermodynamic cycles of engine operating in a finite time coupled to two thermal reservoirs with a finite heat capacity: The Carnot-type cycle and the Lorenz-type cycle. By means of the endo-reversible…

General Physics · Physics 2017-10-11 Ilki Kim , Hui Wan , Soumya S. Patnaik

In order to establish better performance compromises between the process functionals of a heat engine, in the context of finite time thermodynamics (FTT), we propose some generalizations for the well known Efficient Power function through…

Statistical Mechanics · Physics 2020-02-10 S. Levario-Medina , G. Valencia-Ortega , L. A. Arias-Hernandez

Biological and engineered systems operate by coupling function to the transfer of heat and/or particles down a thermal or chemical gradient. In idealized \textit{deterministically} driven systems, thermodynamic control can be exerted…

Statistical Mechanics · Physics 2016-01-06 Benjamin B. Machta

How to rigorously define thermodynamic quantities such as heat, work, and internal energy in open quantum systems driven far from equilibrium remains a significant open question in quantum thermodynamics. Heat is a quantity whose…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Parth Kumar , Charles A. Stafford

In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the…

Analysis of PDEs · Mathematics 2020-01-24 Chia-Yu Hsieh , Tai-Chia Lin , Chun Liu , Pei Liu

We study analytically a thermal Brownian motor model and calculate exactly the Onsager coefficients. We show how the reciprocity relation holds and that the determinant of the Onsager matrix vanishes. Such condition implies that the device…

Statistical Mechanics · Physics 2009-11-11 A. Gomez-Marin , J. M. Sancho

We develop a general stochastic thermodynamics of RLC electrical networks built on top of a graph-theoretical representation of the dynamics commonly used by engineers. The network is: open, as it contains resistors and current and voltage…

Quantum Physics · Physics 2020-07-15 Nahuel Freitas , Jean-Charles Delvenne , Massimiliano Esposito

Recently a number of approaches has been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in nonequilibrium stationary states, via the theory of dynamical systems. This way a direct…

Statistical Mechanics · Physics 2009-10-31 L. Rondoni , E. G. D. Cohen

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

Statistical Mechanics · Physics 2009-11-11 I. Kourakis , A. P. Grecos

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

Statistical Mechanics · Physics 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

The thermodynamics framework of an interacting quantum gas trapped by an arbitrary external potential is reviewed. We show that for each confining potential, in the thermodynamic limit, there emerge "generalized" volume and pressure…

Statistical Mechanics · Physics 2016-08-14 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

The Variation After Projection approach is applied for the first time to the pairing hamiltonian to describe the thermodynamics of small systems with fixed particle number. The minimization of the free energy is made by a direct…

Nuclear Theory · Physics 2015-06-04 Danilo Gambacurta , Denis Lacroix

We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response…

We derive a universal thermodynamic bound constraining directional transport in both discrete and continuous nonequilibrium systems. For continuous-time Markov jump processes and overdamped diffusions governed by Fokker--Planck equations,…

Statistical Mechanics · Physics 2025-08-26 Mesfin Taye

We investigate the experimental setup proposed in [New J. Phys., 15, 115006 (2013)] for calorimetric measurements of thermodynamic indicators in an open quantum system. As theoretical model we consider a periodically driven qubit coupled…

Quantum Physics · Physics 2018-05-09 Brecht Donvil , Paolo Muratore-Ginanneschi , Jukka P. Pekola , Kay Schwieger

We investigate the thermoelectric properties of a one-dimensional quantum system in the presence of an external driving. We employ Floquet scattering theory to calculate linear-response stationary thermoelectric figures of merit in a…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 C. X. Zhang , Alessandro Braggio , Alessandro Romito , Fabio Taddei

In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production…

Statistical Mechanics · Physics 2024-04-03 Saulo V. Moreira , Peter Samuelsson , Patrick P. Potts

Nonequilibrium thermodynamics of a system situated in a sustained environment with influx and efflux is usually treated as a subsystem in a larger, closed "universe". It remains a question what the minimally required description for the…

Statistical Mechanics · Physics 2013-06-20 Hao Ge , Hong Qian

We study the thermodynamics of various physical systems in the framework of the Generalized Uncertainty Principle that implies a minimal length uncertainty proportional to the Planck length. We present a general scheme to analytically…

High Energy Physics - Theory · Physics 2014-08-12 M. Abbasiyan-Motlaq , Pouria Pedram
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