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

Mathematical Physics · Physics 2016-01-12 A. G. Ramm

A bio-heat transfer model for biological tissues in a micro-scale and periodical settings is investigated . It is assumed that the model is a two-component system consisting of solid particles representing tissue cells and interconnected…

Analysis of PDEs · Mathematics 2014-10-28 Abdelhamid Ainouz

Heat radiation and near-field radiative heat transfer can be strongly manipulated by adjusting geometrical shapes, optical properties, or the relative positions of the objects involved. Typically these objects are considered as embedded in…

Classical Physics · Physics 2017-02-15 Boris Müller , Roberta Incardone , Mauro Antezza , Thorsten Emig , Matthias Krüger

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

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T_0 and a final temperature T_N. The body and the heat reservoirs…

Statistical Mechanics · Physics 2014-03-18 Jürgen F. Stilck , Rafael Mynssem Brum

We study heat radiation and heat transfer for pointlike particles in a system of other objects. Starting from exact many-body expressions found from scattering theory and fluctuational electrodynamics, we find that transfer and radiation…

Quantum Physics · Physics 2018-11-05 Kiryl Asheichyk , Boris Müller , Matthias Krüger

Theory of scattering by many small bodies is developed under various assumptions concerning the ratio $\frac{a}{d}$, where $a$ is the characteristic dimension of a small body and $d$ is the distance between neighboring bodies $d =…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

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

In this paper we study the distribution of the temperature within a body where the heat is transported only by radiation. Specifically, we consider the situation where both emission-absorption and scattering processes take place. We study…

Analysis of PDEs · Mathematics 2025-10-01 Elena Demattè , Juan J. L. Velázquez

Within the framework of macroscopic quantum electrodynamics and scattering theory, we derive the general expressions for the variance of radiative heat transfer between two arbitrarily shaped objects placed in an arbitrary environment in…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 F. Herz , C. Kathmann , S. -A. Biehs

The heat transfer model for a one-dimensional supercooled melt during the final stage of solidification is considered. The Stefan problem for the determination of the temperature distribution is solved under the condition that (i) the…

Materials Science · Physics 2012-08-27 G. L. Buchbinder , V. A. Volkov

The near-field electromagnetic interaction between nanoscale objects produces enhanced radiative heat transfer that can greatly surpass the limits established by far-field black-body radiation. Here, we present a theoretical framework to…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Stephen Sanders , Lauren Zundel , Wilton J. M. Kort-Kamp , Diego A. R. Dalvit , Alejandro Manjavacas

Many-body physics aims to understand emergent properties of systems made of many interacting objects. This article reviews recent progress on the topic of radiative heat transfer in many-body systems consisting of thermal emitters…

A normal-diffusion theory for heat transfer in many-body systems via carriers of thermal photons is developed. The thermal conductivity tensor is rigorously derived from fluctuational electrodynamics as a coefficient of diffusion term for…

Applied Physics · Physics 2022-11-04 Minggang Luo , Junming Zhao , Linhua Liu

The near-field interaction between two neighboring particles is known to produce enhanced radiative heat transfer. We advance in the understanding of this phenomenon by including the full electromagnetic particle response, heat exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alejandro Manjavacas , F. Javier Garcia de Abajo

Near-field heat radiation and transfer are rich in various exciting effects, in particular, regarding the amplification due to the geometrical configuration of the system. In this paper, we study heat exchange in situations where the…

Quantum Physics · Physics 2018-11-05 Kiryl Asheichyk , Matthias Krüger

In this paper the theory is developed for creating a material in which the heat is transmitted along a given line. This gives a possibility to transfer information using heat signals. This seems to be a novel idea. The technical part of the…

Numerical Analysis · Mathematics 2017-02-02 Alexander G. Ramm , C. Van

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…

In this Letter a N-body theory for the radiative heat exchange in thermally non equilibrated discrete systems of finite size objects is presented. We report strong exaltation effects of heat flux which can be explained only by taking into…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Philippe Ben-Abdallah , Svend-Age Biehs , Karl Joulain
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