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Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law for electrical conductivity, Fourier's law is a fundamental…

Statistical Mechanics · Physics 2012-11-27 Sha Liu , Xiangfan Xu , Rongguo Xie , Gang Zhang , Baowen Li

Systems of many nanoparticles or volume-discretized bodies exhibit collective radiative properties that could be used for enhanced, guided, or tunable thermal radiation. These are commonly treated as assemblies of point dipoles with…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric J. Tervo , Mathieu Francoeur , Baratunde A. Cola , Zhuomin M. Zhang

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the…

Analysis of PDEs · Mathematics 2019-12-10 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

Statistical Mechanics · Physics 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

We develop a theory for heat transport via electromagnetic waves inside media, and use it to derive a spatially nonlocal thermal conductivity tensor, in terms of the electromagnetic Green's function and potential, for any given system.…

Classical Physics · Physics 2024-02-21 Matthias Krüger , Kiryl Asheichyk , Mehran Kardar , Ramin Golestanian

We analyze the heat transfer between two nanoparticles separated by a distance lying in the near-field domain in which energy interchange is due to Coulomb interactions. The thermal conductance is computed by assuming that the particles…

Materials Science · Physics 2008-04-18 Agustin Pérez-Madrid , José M. Rubí , Luciano C. Lapas

Heat can generally transfer via thermal conduction, thermal radiation, and thermal convection. All the existing theories of transformation thermotics and optics can treat thermal conduction and thermal radiation, respectively.…

Materials Science · Physics 2018-02-28 Gaole Dai , Jin Shang , Jiping Huang

A theory of temperature dynamics in many-body systems driven by time-dependent external sources is introduced. The formalism based on the combination of the perturbation theory and the fluctuational-electrodynamics approach in many-body…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alireza Naeimi , Moladad Nikbakht

The microscopic origins of Fourier's venerable law of thermal transport in quantum electron systems has remained somewhat of a mystery, given that previous derivations were forced to invoke intrinsic scattering rates far exceeding those…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Sosuke Inui , Charles A. Stafford , Justin P. Bergfield

The recent development of a scanning thermal microscope (SThM) has led to measurements of radiative heat transfer between a heated sensor and a cooled sample down to the nanometer range. This allows for comparision of the known theoretical…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Svend-Age Biehs

Charge transfer is a fundamental process that underlies a multitude of phenomena in chemistry and biology. Recent advances in observing and manipulating charge and heat transport at the nanoscale, and recently developed techniques for…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Galen T. Craven , Abraham Nitzan

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 consider heat transfer between two thermal reservoirs mediated by a quantum system using the generalized quantum Langevin equation. The thermal reservoirs are treated as ensembles of oscillators within the framework of the Drude-Ullersma…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 George Y. Panasyuk , George A. Levin , Kirk L. Yerkes

A general fluctuational-electrodynamic theory is developed to investigate radiative heat exchanges between objects which are assumed small compared with their thermal wavelength (dipolar approximation) in N-body systems immersed in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Riccardo Messina , Maria Tschikin , Svend-Age Biehs , Philippe Ben-Abdallah

A general theory of photon-mediated energy and momentum transfer in N-body planar systems out of thermal equilibrium is introduced. It is based on the combination of the scattering theory and the fluctuational-electrodynamics approach in…

Mesoscale and Nanoscale Physics · Physics 2017-05-04 Ivan Latella , Philippe Ben-Abdallah , Svend-Age Biehs , Mauro Antezza , Riccardo Messina

A theory of transverse electron transport coupled with heat transfer in semiconductor thin films is developed conceptually modeling structures of modern electronics. The transverse currents generate Joule heat with positive feedback through…

Disordered Systems and Neural Networks · Physics 2015-06-05 V. G. Karpov

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

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

Radiative heat-transport mediated by near-field interactions is known to be superdiffusive in dilute, many-body systems. In this Letter we use a generalized Landauer theory of radiative heat transfer in many-body planar systems to…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Ivan Latella , Svend-Age Biehs , Riccardo Messina , Alejandro W. Rodriguez , Philippe Ben-Abdallah

In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, as well as…

Fluid Dynamics · Physics 2025-01-16 Guillermo Federico Umbricht , Domingo Alberto Tarzia , Diana Rubio
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