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We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the…

Mathematical Physics · Physics 2023-05-03 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We introduce and analyze a class of heat engines composed of interacting units, in which the thermal reservoir is associated with the neighborhood surrounding each unit. These systems can be mapped onto stochastic opinion models and are…

Statistical Mechanics · Physics 2025-09-10 Carlos E. Fiore

How the transport properties of an extended system is affected by coupling to active reservoirs is a significant, yet virtually unexplored question. Here we address this issue in the context of energy transport between two active reservoirs…

Statistical Mechanics · Physics 2022-09-23 Ion Santra , Urna Basu

We present a new stochastic analysis for steady and transient one-dimensional heat conduction problem based on the homogenization approach. Thermal conductivity is assumed to be a random field K consisting of random variables of a total…

Statistical Mechanics · Physics 2018-09-05 Zhijie Xu

Explaining the influence of strong coupling in the dynamics of open quantum systems is one of the most challenging issues in the rapidly growing field of quantum thermodynamics. By using a particular definition of heat, we develop a new…

Quantum Physics · Physics 2021-10-12 Bertúlio de Lima Bernardo

Using the Green's function of the 3D heat equation, we develop an analytical account of the thermal behaviour of superconducting films subjected to electrical currents larger than their critical current in the absence of an applied magnetic…

Superconductivity · Physics 2012-02-15 Jesús Maza , Gonzalo Ferro , Manuel Rodríguez Osorio , José A. Veira , Félix Vidal

We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at…

Statistical Mechanics · Physics 2022-03-03 Hong Yuan , Yu-Han Ma , C. P. Sun

We numerically demonstrate heat rectification for linear chains of ions in trap lattices with graded trapping frequencies, in contact with thermal baths implemented by optical molasses. To calculate the local temperatures and heat currents…

Quantum Physics · Physics 2019-09-11 M. A. Simón , S. Martínez-Garaot , M. Pons , J. G. Muga

A crucial assumption in the conventional description of thermal conduction is the existence of local thermal equilibrium. We test this assumption in two simple models of heat conduction. Our first model is a linear chain of planar spins…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Deepak Dhar

We consider a quantum system strongly coupled to multiple heat baths at different temperatures. Quantum heat transport phenomena in this system are investigated using two definitions of the heat current, one in terms of the system energy,…

Quantum Physics · Physics 2017-11-03 Akihito Kato , Yoshitaka Tanimura

When modelling phase change, the latent heat released (absorbed) during solidification (melting) must be included in the heat transfer equation. In this paper, different SPH methods for the implementation of latent heat, in the context of…

Fluid Dynamics · Physics 2018-02-21 Amirsaman Farrokhpanah , Markus Bussmann , Javad Mostaghimi

We present a rigorous approach, based on the concept of continuous thermomajorisation, to algorithmically characterise the full set of energy occupations of a quantum system accessible from a given initial state through weak interactions…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Matteo Lostaglio

We propose an adaptive optimization algorithm for operating district heating networks in a stationary regime. The behavior of hot water flow in the pipe network is modeled using the incompressible Euler equations and a suitably chosen…

Optimization and Control · Mathematics 2023-05-05 Hannes Dänschel , Volker Mehrmann , Marius Roland , Martin Schmidt

In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperature, which are coupled to opposite ends of the lattice, with focus on the validity of Fourier's…

Quantum Physics · Physics 2013-05-14 A. Asadian , D. Manzano , M. Tiersch , H. J. Briegel

Technical components are usually well optimized. However, simply combining these optimized components in a technical system does not necessarily lead to optimal systems. Therefore, focusing on a system perspective reveals new potential for…

Optimization and Control · Mathematics 2018-10-31 Jonas Benjamin Weber , Ulf Lorenz

Despite its historical importance, a perfect gas enclosed by a pistons and in contact with a thermal reservoirs is a system still largely under study. Its thermodynamic properties are not yet well understood when driven under…

Statistical Mechanics · Physics 2016-10-12 G. Gubbiotti , D. Chiuchiù

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heat-kernel methods are employed for a renormalization group improved effective potential. We study the evolution of the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. -J. Schaefer , H. J. Pirner

We have considered the nonlinear response of mesoscopic systems of non-interacting electrons to the time-dependent external field. In this consideration the inelastic processes have been neglected and the electron thermalization occurs due…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. I. Yudson , E. Kanzieper , V. E. Kravtsov

We study the backaction of quantum measurements on heat transport through a two-level system by considering the continuous quantum measurement onto an eigenstate of the two-level system. For the nonselective measurement, the backaction…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Tsuyoshi Yamamoto , Yasuhiro Tokura , Takeo Kato