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We simplify the formalism of Polder and Van Hove [Phys.Rev.B {\bf 4}, 3303(1971)], which was developed to calculate the heat transfer between macroscopic and nanoscale bodies of arbitrary shape, dispersive and adsorptive dielectric…

Materials Science · Physics 2009-11-11 A. I. Volokitin , B. N. J. Persson

A wave equation, that governs finite amplitude acoustic disturbances in a thermoviscous Newtonian fluid, and includes nonlinear terms up to second order, is proposed. In contrast to the model known as the Kuznetsov equation, the proposed…

The properties of the thermal force driving micron particles in incompressible fluids are studied within the hydrodynamic theory of the Brownian motion. It is shown that the assumption used for the hydrodynamic Langevin equation in its…

Statistical Mechanics · Physics 2012-10-16 Vladimir Lisy , Jana Tothova , Lukas Glod

We study the quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs. We solve the classical Kirchhoff-Love equation for rectangular wires and explore the dispersion…

The electrons and phonons in metal films after ultra-short pulse laser heating are in highly non-equilibrium states not only between the electron sub-system and the phonon sub-system but also within the electron sub-system. An…

Materials Science · Physics 2014-08-05 Jun Zhou , Nianbei Li , Ronggui Yang

In this work, the heat vortexes in two-dimensional porous or ribbon structures are investigated based on the phonon Boltzmann transport equation (BTE) under the Callaway model. First, the separate thermal effects of normal (N) scattering…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Chuang Zhang , Songze Chen , Zhaoli Guo

We study thermal transport through Pt nanowires that bridge planar contacts as a function of wire length and vibrational frequency of the contacts. When phonons in the contacts have lower average frequencies than those in the wires thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Ya Zhou , Alejandro Strachan

We investigate the heat transport in a nonequilibrium spin-boson model, where a two level system bridging two harmonic reservoirs at different temperatures, by employing a unitary transformation along with a resolvent operator expansion…

Quantum Physics · Physics 2020-06-24 Wei Wu

In a network of interacting quantum systems achieving fast coherent energy transfer is a challenging task. While quantum systems are susceptible to a wide range of environmental factors, in many physical settings their interactions with…

Quantum Physics · Physics 2014-05-09 James Lim , Mark Tame , Ki Hyuk Yee , Joong-Sung Lee , Jinhyoung Lee

We propose an extension to the original result derived by Simoncelli et al. (https://doi.org/10.1038/s41567-019-0520-x) to encompass the effects of a space and time dependent heat source. Via a Fourier Transfrom, we obtain closed form…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Samuel Huberman

In this paper, we study the temperature distribution of a body when the heat is transmitted only by radiation. The heat transmitted by convection and conduction is ignored. We consider the stationary radiative transfer equation in the local…

Analysis of PDEs · Mathematics 2023-06-21 Jin Woo Jang , Juan J. L. Velázquez

At low temperatures when the phonon modes are effectively frozen, photon transport is the dominating mechanism of thermal relaxation in metallic systems. Starting from a microscopic many-body Hamiltonian, we develop a nonequilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Teemu Ojanen , Tero T. Heikkila

Here, we develop a theory of radiative heat transfer based on an equivalent electrical network representation for the hot material slabs in an arbitrary multilayered environment with arbitrary distribution of temperatures and…

The thermal properties of solids under nanoscale confinement are currently not understood at the atomic level. Recent numerical studies have highlighted the presence of a minimum in the thermal conductivity as a function of thickness for…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Alessio Zaccone

We show the unique reconstruction of the heat-reflection coefficients in a phonon transport equation. This is a mathematical model used to characterize the dynamics of heat-conducting phonons in multiple layers of media, commonly composed…

Analysis of PDEs · Mathematics 2021-08-10 Qin Li , Weiran Sun

Using a full dispersion description of phonons, the thermal conductivities of bulk Si and Bi2Te3 are evaluated using a Landauer approach and related to the conventional approach based on the Boltzmann transport equation. A procedure to…

Materials Science · Physics 2010-11-18 Changwook Jeong , Supriyo Datta , Mark Lundstrom

The relaxation of a spatially sinusoidal temperature perturbation in a dielectric crystal at a temperature comparable to or higher than the Debye temperature is investigated theoretically. We assume that most phonons contributing to the…

Materials Science · Physics 2011-12-12 A. A. Maznev , Jeremy A. Johnson , Keith A. Nelson

In the hydrodynamic regime, phonons drift with a nonzero collective velocity under a temperature gradient, reminiscent of viscous gas and fluid flow. The study of hydrodynamic phonon transport has spanned over half a century but has been…

Materials Science · Physics 2018-02-05 Zhiwei Ding , Jiawei Zhou , Bai Song , Vazrik Chiloyan , Mingda Li , Te-Huan Liu , Gang Chen

We introduce a unified approach to states of matter (solid, liquid and gas) and describe the thermodynamics of the pressure-temperature phase diagram in terms of phonon excitations. We derive the effective Hamiltonian with low-energy cutoff…

Statistical Mechanics · Physics 2015-12-23 Dima Bolmatov , Dmitry Zavyalov , Mikhail Zhernenkov , Edvard T. Musaev , Yong Q. Cai

We consider a linear phonon Boltzmann equation with a reflecting/transmitting/absorbing interface. This equation appears as the Boltzmann-Grad limit for the energy density function of a harmonic chain of oscillators with inter-particle…

Mathematical Physics · Physics 2019-03-08 Giada Basile , Tomasz Komorowski , Stefano Olla