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We present a detailed derivation of heat radiation, heat transfer and (Casimir) interactions for N arbitrary objects in the framework of fluctuational electrodynamics in thermal non-equilibrium. The results can be expressed as…

Quantum Physics · Physics 2014-10-31 Matthias Krüger , Giuseppe Bimonte , Thorsten Emig , Mehran Kardar

When two solids are separated by a vacuum gap of thickness smaller than the wavelength of acoustic phonons, the latter can tunnel across the gap thanks to van der Waals forces or electrostatic interactions. Here we show that these…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Mauricio Gómez Viloria , Yangyu Guo , Samy Merabia , Riccardo Messina , Philippe Ben-Abdallah

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 work, we study the thermalization between two bodies separated by a vacuum gap by coupling the non-Fourier behavior of the materials with the radiative heat transfer in the near-field. Unlike the diffusion-type temperature profile,…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 D. Becerril , A. Camacho de la Rosa , R. Esquivel-Sirvent

The radiative heat transfer in the extreme near-field regime, i.e. for distances below 10 nm, remains poorly understood. There are competing experimental results in this regime, with some in good agreement with theoretical predictions,…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Fridolin Geesmann , Philipp Thurau , Sophie Rodehutskors , Till Ziehm , Ludwig Worbes , Svend-Age Biehs , Achim Kittel

We theoretically study heat transfer between two anisotropic nanoparticles in vacuum, and derive closed expressions in terms of the anisotropic dipole polarizabilities. We show that transfer between two small spheroids can be many times as…

Quantum Physics · Physics 2015-06-18 Roberta Incardone , Thorsten Emig , Matthias Krüger

We calculate intensity of radiative heat transfer and radiative conductance in a system of two spherical particles embedded in equilibrium vacuum background (photon gas). The temperatures of the particles and of the background radiation are…

Other Condensed Matter · Physics 2011-08-10 G. V. Dedkov , A. A. Kyasov

Three decades into the research seeking to derive the urban energy budget, the dynamics of the thermal exchange between the densely built infrastructure and the environment are still not well understood. We present a novel hybrid…

Atmospheric and Oceanic Physics · Physics 2017-08-29 Masoud Ghandehari , Thorsten Emig , Milad Aghamohamadnia

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

We develop a general theory of radiative heat exchange between dipoles with time-modulated optical properties. This framework extends fluctuational electrodynamics beyond equilibrium by incorporating nonstationary correlations and memory…

Optics · Physics 2026-01-07 Riccardo Messina , Philippe Ben-Abdallah

A quantum-mechanical formulation of energy transfer between closely-spaced surfaces is given. Coupling between the two surfaces arises from the atomic dipole-dipole interaction involving transverse-photon exchange. The exchange of photons…

General Physics · Physics 2009-08-10 K. P. Sinha , A. Meulenberg

A parametric study of Drude and Lorentz models performances in maximizing near-field radiative heat transfer between two semi-infinite planes separated by nanometric distances at room temperature is presented in this paper. Optimal…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Elyes Nefzaoui , Younès Ezzahri , Jérémie Drevillon , Karl Joulain

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 rederive the Green-Kubo relation establishing a connection between the near- and far-field heat transfer between two objects out of equilibrium to the equilibrium fluctuations of these objects in an arbitrary environment. Employing the…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 F. Herz , S. -A. Biehs

We derive exact analytical formulas for the radiative heat transfer between parallel slabs separated by vacuum and subject to arbitrary temperature profiles. We show that, depending on the derivatives of the temperature at points close to…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 Riccardo Messina , Weiliang Jin , Alejandro W. Rodriguez

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…

We use fluctuational electrodynamics to determine emissivity and van der Waals contribution to surface energy for various spherical shapes, such as a sphere, a bubble, a spherical shell and a coated sphere, in a homogeneous and isotropic…

Mesoscale and Nanoscale Physics · Physics 2015-02-16 Yi Zheng , Alok Ghanekar

Using theoretical and numerical arguments we discuss some of the commonly accepted approximations for the radiative transfer equations in climatology.

Analysis of PDEs · Mathematics 2021-11-30 Claude Bardos , Francois Golse , Olivier Pironneau

Using electric dipoles to describe light-matter interactions between two entities is a conventional approximation in physics, chemistry, and material sciences. However, the lack of material structures makes the approximation inadequate when…

Chemical Physics · Physics 2023-05-24 Ming-Wei Lee , Liang-Yan Hsu

In recent times the possibility of non-reciprocity in heat transfer between two bodies has been extensively studied. In particular the role of strong magnetic fields has been investigated. A much simpler approach with considerable…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 S. -A. Biehs , G. S. Agarwal