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In this work we conduct an extensive study of the asymmetric heat flow, i.e. thermal rectification, present in the two-segment Frenkel Kontorova model with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. We have…

Statistical Mechanics · Physics 2024-11-18 M. Romero-Bastida , A. Poceros Varela

A theory of transverse electron transport coupled with heat transfer in semiconductor thin films is developed conceptually modeling structures of modern electronics. The transverse currents generate Joule heat with positive feedback through…

Disordered Systems and Neural Networks · Physics 2015-06-05 V. G. Karpov

The time-dependent energy transfer in a driven quantum system strongly coupled to a heat bath is studied within an influence functional approach. Exact formal expressions for the statistics of energy dissipation into the different channels…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Matteo Carrega , Paolo Solinas , Maura Sassetti , Ulrich Weiss

We study an optimal control problem for the heat equation with a prescribed terminal state. To circumvent the difficulty of enforcing a hard terminal constraint, we analyze a penalized formulation and prove that the corresponding optimal…

Optimization and Control · Mathematics 2026-05-15 Sung-Sik Kwon

Thermal rectification can occur when heat is transferred asymmetrically. We consider in this work, the case of a composite wall with one conductive and radiative layer. Both Rosseland and surface radiation approximations are used for taking…

Applied Physics · Physics 2018-08-21 Hamou Sadat , Vital Le Dez

We consider measurement based single temperature quantum heat engine without feedback control, introduced recently by Yi, Talkner and Kim [Phys. Rev. E 96, 022108 (2017)]. Taking the working medium of the engine to be a one-dimensional…

Quantum Physics · Physics 2019-11-20 Arpan Das , Sibasish Ghosh

Controlling photon mediated energy flow is central to the future of communications, thermal management, and energy harvesting technologies. Recent breakthroughs have revealed that many body systems violating Lorentz reciprocity can sustain…

Optics · Physics 2025-10-16 Sina Jafari Ghalekohneh , Bo Zhao

We study the superconducting transition temperature $T_c$ of the bilayer d-p model with $d_{x^2-y^2}$-wavelike attractive interaction based on the formalism first employed by Nozi\`{e}res and Schmitt-Rink. In the strong coupling regime,…

Condensed Matter · Physics 2009-10-31 Shigeru Koikegami , Kosaku Yamada

Numerical study has been conducted for the chaotic flow in a multi-turn closed-loop pulsating heat pipe (PHP). Heat flux and constant temperature boundary conditions have been applied for heating and cooling sections respectively. Water was…

Fluid Dynamics · Physics 2017-03-08 S. M. Pouryoussefi , Yuwen Zhang

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We show the existence and optimal regularity of the optimal temperature configuration in a problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation. Regularity of the two free boundaries is…

Analysis of PDEs · Mathematics 2016-04-29 Hui Yu

We proposed that the use of an approximate "jump condition" at the solar transition region permits fast and accurate numerical solutions of the one dimensional hydrodynamic equations when the corona undergoes impulsive heating. In…

Solar and Stellar Astrophysics · Physics 2017-08-30 C. D. Johnston , A. W. Hood , P. J. Cargill , I. De Moortel

This paper revisits the optimal shape problem of a single cooling fin using a one-dimensional heat conduction equation with convection boundary conditions. Firstly, in contrast to previous works, we apply an approach using optimality…

Optimization and Control · Mathematics 2021-10-07 Joe Alexandersen , Ole Sigmund

Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile…

Statistical Mechanics · Physics 2018-11-21 Thomas Motz , Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

This paper proposes a new thermodynamic hypothesis that states that a nonlinear natural system that is not isolated and involves positive feedbacks tends to minimize its resistance to the flow process through it that is imposed by its…

Geophysics · Physics 2013-02-26 Hui-Hai Liu

We investigate thermal transport in a two segment classical Heisenberg spin chain with nearest neighbor interaction and in presence of external magnetic field using computer simulation. The system is thermally driven by heat baths attached…

Statistical Mechanics · Physics 2013-11-11 Debarshee Bagchi

We introduce a new and general mechanism for superconductivity in Fermi systems with strong repulsive interaction. Because kinetic terms are small compared to the bare repulsion, the dynamic of charge carriers is constrained by the the…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Liang Fu

We study the rectification of heat current in an XXZ chain segmented in two parts. We model the effect of the environment with Lindblad heat baths. We show that, in our system, rectification is large for strong interactions in half of the…

Statistical Mechanics · Physics 2019-04-04 Vinitha Balachandran , Giuliano Benenti , Emmanuel Pereira , Giulio Casati , Dario Poletti

In this paper we consider a bipartite system composed of two subsystems each coupled to its own thermal environment. Based on a collision model, we mainly study whether the approximation (i.e., the inter-system interaction is ignored when…

Quantum Physics · Physics 2021-04-28 Feng Tian , Jian Zou , Lei Li , Hai Li , Bin Shao

Rectified flow (Liu et al., 2022; Liu, 2022; Wu et al., 2023) is a method for defining a transport map between two distributions, and enjoys popularity in machine learning, although theoretical results supporting the validity of these…

Statistics Theory · Mathematics 2025-12-11 Gonzalo Mena , Arun Kumar Kuchibhotla , Larry Wasserman