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This work discusses about the transport coefficients for non equilibrium hot metals. First, we review the role of the non equilibrium Kappa distribution in which the Kappa parameter varies with the temperature. A brief discussion compares…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Juan-Luis Domenech-Garret

By using the generalized Boltzmann equation of transport and the first-order approximation of Chapman-Enskog expansion on the kappa-distribution function, we study the thermal conductivity and Dufour effects in the weakly ionized and…

Plasma Physics · Physics 2020-03-06 Haijuan Xia , Jiulin Du

Thermal conductivity coefficient $\kappa$ measures the ability of a material to conduct a heat current. In particular, $\kappa$ is an important property that often dictates the usefulness of a material over a wide range of environmental…

Soft Condensed Matter · Physics 2024-10-23 Debashish Mukherji

Transport properties provide important information about the mobility, elastic and inelastic of scattering of excitations in solids. Heat transport is well understood for phonons and electrons, but little is known about heat transport by…

Strongly Correlated Electrons · Physics 2008-04-11 C. Hess

Let $M$ be a Riemannian manifold and $\Omega$ a compact domain of $M$ with smooth boundary. We study the solution of the heat equation on $\Omega$ having constant unit initial conditions and Dirichlet boundary conditions. The purpose of…

Differential Geometry · Mathematics 2014-06-12 Alessandro Savo

Precise modeling and understanding of heat transport in the superionic phase are of great interest. Although simulations combining Green-Kubo (GK) molecular dynamics with machine-learned potentials (MLPs) stand as a promising approach,…

Materials Science · Physics 2026-03-31 Wenjiang Zhou , Benrui Tang , Zheyong Fan , Federico Grasselli , Stefano Baroni , Bai Song

The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

We report a model-based method for quantifying heat flow and storage in thermal systems using data from multiple thermal sensors. This approach avoids stringent requirements on the system geometry and sensor positions and enables…

Instrumentation and Detectors · Physics 2019-05-24 B. P. MacLeod , D. K. Fork , B. Lam , C. P. Berlinguette

In this work, we study the asymptotic behaviour of solutions to the heat equation in exterior domains, i.e., domains which are the complement of a smooth compact set in $\mathbb{R}^N$. Different homogeneous boundary conditions are…

Analysis of PDEs · Mathematics 2024-07-18 Joaquín Domínguez-de-Tena , Aníbal Rodríguez-Bernal

Understanding the generation mechanism of the heating flux is essential for the design of hypersonic vehicles. We proposed a novel formula to decompose the heat flux coefficient into the contributions of different terms by integrating the…

Fluid Dynamics · Physics 2021-06-22 Dong Sun , Qilong Guo , Xianxu Yuan , Haoyuan Zhang , Chen Li , Pengxin Liu

The field dependence of low-temperature thermal conductivity $\kappa(H)$ observed on cuprates is explained by calculating $\kappa(H)$ microscopically. The heat current carried by low-lying quasiparticles around a vortex core decreases with…

Superconductivity · Physics 2009-11-10 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida

Transport processes in the fully ionized plasma with kappa-distribution and in strong magnetic field are studied. By analyzing the current density and the heat flux in the kappa-distributed plasma, we derive the corresponding transport…

Plasma Physics · Physics 2019-03-19 Guo Ran , Du Jiulin

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

This paper explores the concept of near-cloaking in the context of time-dependent heat propagation. We show that after the lapse of a certain threshold time instance, the boundary measurements for the homogeneous heat equation are close to…

Analysis of PDEs · Mathematics 2017-12-18 Richard Craster , Sebastien Guenneau , Harsha Hutridurga , Grigorios Pavliotis

We investigate the heat current of a strongly interacting quantum dot in the presence of a voltage bias in the Kondo regime. Using the slave- boson mean-field theory, we discuss the behavior of the energy flow and the Joule heating. We find…

Mesoscale and Nanoscale Physics · Physics 2018-04-23 Miguel A. Sierra , David Sanchez

In this paper we develop tools for observers to use when analysing nebular spectra for temperatures and metallicities, with two goals: to present a new, simple method to calculate equilibrium electron temperatures for collisionally excited…

Astrophysics of Galaxies · Physics 2013-07-18 David C. Nicholls , Michael A. Dopita , Ralph S. Sutherland , Lisa J. Kewley , Ethan Palay

We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the…

Statistical Mechanics · Physics 2017-04-07 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

Phonon modes and their dispersion relations in ultrathin homogenous dielectric membranes are calculated using elasticity theory. The approach differs from the previous ones by a rigorous account of the effect of the film surfaces on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Kühn , D. V. Anghel , J. P. Pekola , M. Manninen , Y. M Galperin

We study full counting statistics for classical heat transport through anharmonic/nonlinear molecular junctions formed by interacting oscillators. Analytical result of the steady state heat flux for an overdamped anharmonic junction with…

Statistical Mechanics · Physics 2013-03-13 Sha Liu , Bjiay Kumar Agarwalla , Jian-Sheng Wang , Baowen Li

Heat transfer between a silver nanoparticle and surrounding water has been studied using molecular dynamics (MD) simulations. The thermal conductance (Kapitza conductance) at the interface between a nanoparticle and surrounding water has…

Materials Science · Physics 2019-03-29 Ali Rajabpour , Roham Seif , Saeed Arabha , Mohammad Mahdi Heyhat , Samy Merabia , Ali Hassanali