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We show how to extend the concept of heat capacity to nonequilibrium systems. The main idea is to consider the excess heat released by an already dissipative system when slowly changing the environment temperature. We take the framework of…

Statistical Mechanics · Physics 2011-11-15 Eliran Boksenbojm , Christian Maes , Karel Netocny , Jiri Pesek

We define the heat capacity for steady periodically driven systems and as an example we compute it for dissipative two-level systems where the energy gap is time-modulated. There, as a function of ambient temperature, the Schottky peak…

Statistical Mechanics · Physics 2024-08-27 Elena Rufeil Fiori , Christian Maes

This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

Statistical Mechanics · Physics 2014-07-29 Jiří Pešek

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental…

Statistical Mechanics · Physics 2018-10-05 Matthew E. Quenneville , David A. Sivak

We propose a thermodynamically consistent minimal model to study synchronization which is made of driven and interacting three-state units. This system exhibits at the mean-field level two bifurcations separating three dynamical phases: a…

Statistical Mechanics · Physics 2018-09-12 Tim Herpich , Juzar Thingna , Massimiliano Esposito

Calorimetry for equilibrium systems aims to determine the available microscopic occupation and distribution of energy levels by measuring thermal response. Nonequilibrium versions are expected to add information on the dynamical…

Statistical Mechanics · Physics 2023-11-27 Pritha Dolai , Christian Maes

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

According to the laws of thermodynamics, no heat engine can beat the efficiency of a Carnot cycle. This efficiency traditionally comes with vanishing power output and practical designs, optimized for power, generally achieve far less.…

Statistical Mechanics · Physics 2018-09-26 Viktor Holubec , Artem Ryabov

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

The concept of thermal machines has evolved from the canonical steam engine to the recently proposed nanoscopic quantum systems as working fluids. The latter obey quantum open system dynamics and frequently operate in non-equilibrium…

The context of the present paper is stochastic thermodynamics - an approach to nonequilibrium thermodynamics rooted within the broader framework of stochastic control. In contrast to the classical paradigm of Carnot engines, we herein…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Rui Fu , Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

Nonequilibrium quantum dynamics can give rise to the emergence of novel steady states. We propose a scheme for driving an initially uncorrelated thermal state to generate customized correlation functions by determining and reverse…

Strongly Correlated Electrons · Physics 2022-09-22 Armin Rahmani

The accurate determination of transport coefficients in numerical simulations is becoming increasingly important in a wide range of applications. Here we consider the linear response in systems driven away from thermal equilibrium into a…

Statistical Mechanics · Physics 2016-08-24 Thomas Speck

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

Statistical Mechanics · Physics 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

Statistical Mechanics · Physics 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

A driven stochastic system in a constant temperature heat bath relaxes into a steady state which is characterized by the steady state probability distribution. We investigate the relationship between the driving force and the steady state…

Statistical Mechanics · Physics 2015-03-11 Jae Dong Noh , Joongul Lee

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

In the present paper, we study the power output and efficiency of overdamped stochastic thermodynamic engines that are in contact with a heat bath having a temperature that varies periodically with time. This is in contrast to most of the…

Statistical Mechanics · Physics 2022-07-13 Rui Fu , Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium steady states in thermodynamically isolated systems.…

Statistical Mechanics · Physics 2019-08-06 Miroslav Bulíček , Josef Málek , Vít Průša

Stochastic thermodynamics allows us to define heat and work for microscopic systems far from thermodynamic equilibrium, based on observations of their stochastic dynamics. However, a complete account of the energetics necessitates that all…

Statistical Mechanics · Physics 2021-08-31 Jannik Ehrich
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