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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

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

All statistical information about the heat can be obtained with the probability distribution of the heat functional. This paper derives analytically the expression for the distribution of the heat, through path integral, for a diffusive…

Statistical Mechanics · Physics 2021-02-19 Pedro Ventura Paraguassú , Welles Antonio Martinez Morgado

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

Applied Physics · Physics 2022-10-04 Gaole Dai

The quantum potential is shown to result from the presence of a subtle thermal vacuum energy distributed across the whole domain of an experimental setup. Explicitly, its form is demonstrated to be exactly identical to the heat distribution…

Quantum Physics · Physics 2009-02-23 Gerhard Groessing

Quantum physics predicts that there is a fundamental maximum heat conductance across a single transport channel, and that this thermal conductance quantum $G_Q$ is universal, independent of the type of particles carrying the heat. Such…

Mesoscale and Nanoscale Physics · Physics 2015-03-02 S. Jezouin , F. D. Parmentier , A. Anthore , U. Gennser , A. Cavanna , Y. Jin , F. Pierre

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 paper mathematical models are formulated in order to simulate heat production and corresponding temperature changes which accompany the propagation of an axon potential. Based on earlier experimental results, several models are…

Biological Physics · Physics 2019-07-24 Kert Tamm , Jüri Engelbrecht , Tanel Peets

Here, we outline 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…

Quantum heat transfer through a generic superconducting set-up consisting of a tunable transmon qubit placed between resonators that are termined by thermal reservoirs is explored. Two types of architectures are considered, a sequential and…

Quantum Physics · Physics 2021-03-24 Meng Xu , J. T. Stockburger , J. Ankerhold

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

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 consider the 1D motion of an overdamped Brownian particle in a general potential in the low temperature limit. We derive an explicit expression for the probability distribution for the heat transferred to the particle. We find that the…

Statistical Mechanics · Physics 2009-11-10 Hans C. Fogedby , Alberto Imparato

Extended from its electromagnetic counterpart, transformation thermodynamics applied to thermal conduction equations can map a virtual geometry into a physical thermal medium, realizing the manipulation of heat flux with almost arbitrarily…

Classical Physics · Physics 2015-06-19 Yichao Liu , Wei Jiang , Sailing He , Yungui Ma

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

Information Theory · Computer Science 2007-07-16 Oded Kafri

A cold, thin film of liquid impinging on an isothermal hot, horizontal surface has been investigated. An approximate solution for the velocity and temperature distributions in the flow along the horizontal surface is developed, which…

Fluid Dynamics · Physics 2014-03-17 Jian-Jun Shu , Graham Wilks

We formulate the problem of near-field radiative heat transfer as an effective quantum scattering theory for excitations of the matter. Built from the same ingredients as the semiclassical fluctuational electrodynamics, the standard tool to…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Matthias Hübler , Denis M. Basko , Wolfgang Belzig

A method is given for calculation of a distribution of small particles, embedded in a medium, so that the resulting medium would have a desired radiation pattern for the plane wave scattering by this medium.

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

It has recently been shown theoretically that the time-dependent heat conduction equation is form-invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped…

Materials Science · Physics 2013-05-14 Robert Schittny , Muamer Kadic , Sebastien Guenneau , Martin Wegener

This Colloquium is a fast journey through the build-up of key thermodynamical concepts, i.e. work, heat and irreversibility -- and how they relate to information. Born at the time of industrial revolution to optimize the exploitation of…

Quantum Physics · Physics 2021-03-24 Alexia Auffèves
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