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Given a smooth bounded domain $\Omega$ in $\mathbb{R}^2$, we study the following anisotropic Neumann problem $$ \begin{cases} -\nabla(a(x)\nabla u)+a(x)u=\lambda a(x) u^{p-1}e^{u^p},\,\,\,\, u>0\,\,\,\,\, \textrm{in}\,\,\,\,\,…

Analysis of PDEs · Mathematics 2025-02-13 Yibin Zhang

We consider a quantum dot system whose charge fluctuations are monitored by a quantum point contact allowing for the detection of both charge and transferred heat statistics. Our system consists of two nearby conductors that exchange energy…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 Rafael Sánchez , Markus Büttiker

We study heat current and the full statistics of heat fluctuations in a capacitively-coupled double quantum dot system. This work is motivated by recent theoretical studies and experimental works on heat currents in quantum dot circuits. As…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hari Kumar Yadalam , Upendra Harbola

In this paper, a boundary integral method is used to solve an inverse linear heat conduction problem in two-dimensional bounded domain. An inverse problem of measuring the heat flux from partial (on part of the boundary) dynamic boundary…

Mathematical Physics · Physics 2008-05-06 Daveau Christian , Khelifi Abdessatar , Shamma M. Nour

To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model…

Plasma Physics · Physics 2007-05-23 Abdelhamid Khalfaoui , Djamila Bennaceur-Doumaz

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the…

Statistical Mechanics · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

We present large scale simulations for a one-dimensional chain of hard-point particles with alternating masses. We correct several claims in the recent literature based on much smaller simulations. Both for boundary conditions with two heat…

Chaotic Dynamics · Physics 2009-11-07 Peter Grassberger , Walter Nadler , Lei Yang

We explore layered strongly correlated materials as a platform to identify and control unconventional heat transfer phenomena. We demonstrate that these systems can be tailored to sustain a wide spectrum of heat transport regimes, ranging…

Strongly Correlated Electrons · Physics 2021-11-29 Giacomo Mazza , Marco Gandolfi , Massimo Capone , Francesco Banfi , Claudio Giannetti

In this opinion piece, we discuss recent advances in experimental methods for characterizing phase change heat transfer. We begin with a survey of techniques for high-resolution measurements of temperature and heat flux at the solid surface…

Mesoscale and Nanoscale Physics · Physics 2014-08-04 Jacopo Buongiorno , David G. Cahill , Carlos H. Hidrovo , Saeed Moghaddam , Aaron J. Schmidt , Li Shi

We study the heat transfer between weakly coupled systems with flat interface. We present simple analytical results which can be used to estimate the heat transfer coefficient. As applications we consider the heat transfer across…

Materials Science · Physics 2010-08-27 B. N. J. Persson , A. I. Volokitin , H. Ueba

In the present study, MHD boundary layer flow with heat and mass transfer of a nanofluid with viscous dissipation over a non-linear stretching sheet embedded in a porous medium is studied. The governing non-linear partial differential…

Fluid Dynamics · Physics 2017-11-13 Rama Bhargava , Harish Chandra

Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

Soft Condensed Matter · Physics 2021-09-02 Josef Málek , Ondřej Souček

Given the large anisotropy of transport processes in magnetized plasmas, the magnetic field structure can strongly impact heat diffusion: magnetic surfaces and cantori form barriers to transport while chaotic layers and island structures…

Plasma Physics · Physics 2022-02-08 Elizabeth J. Paul , Stuart R. Hudson , Per Helander

A coupled cohesive zone model based on an analogy between fracture and contact mechanics is proposed to investigate debonding phenomena at imperfect interfaces due to thermomechanical loading and thermal fields in bodies with cohesive…

Materials Science · Physics 2014-10-02 Alberto Sapora , Marco Paggi

Controlling the transmission of electrical current using a quantum point contact constriction paved a way to a large variety of experiments in mesoscopic physics. The increasing interest in heat transfer in such systems fosters questions…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Amir Rosenblatt , Fabien Lafont , Ivan Levkivskyi , Ron Sabo , Itamar Gurman , Daniel Banitt , Moty Heiblum , Vladimir Umansky

We provide a data set of emission and recombination coefficients of hydrogen using a kappa-distribution of electron energies rather than the more traditional Maxwell-Boltzmann (MB) distribution. The data are mainly relevant to thin and…

Atomic Physics · Physics 2014-11-25 P. J. Storey , Taha Sochi

Non-equilibrium (NE) molecular dynamics (MD), or NEMD, gives a "direct" simulation of thermal conductivity kappa. Heat H(x) is added and subtracted in equal amounts at different places x. After steady state is achieved, the temperature T(x)…

Materials Science · Physics 2016-12-06 Philip B. Allen , Yerong Li

Let $M$ be a Riemannian manifold and $\Omega$ a smooth domain of $M$. We study the following heat diffusion problem: assume that the initial temperature is equal to $1$, uniformly on $\Omega$, and is $0$ on its complement. Heat will then…

Differential Geometry · Mathematics 2025-07-14 Andrea Bisterzo , Alessandro Savo

In this article, we present the governing equations for the temperature field upstream and downstream of the periodically developed flow region in channels with arrays of periodic solid structures. From the ansatz that the temperature field…

Fluid Dynamics · Physics 2024-03-26 Geert Buckinx

Heating of trapped ion clouds by interactions with free electrons crossing the trapping potential was observed. A model describing such process was proposed and discussed. The presented approach predicts two effects: pushing and heating of…

Plasma Physics · Physics 2018-11-14 Łukasz Kłosowski , Mariusz Piwiński