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Related papers: Nonequilibrium Stefan-Boltzmann law

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A candidate for a consistent steady state thermodynamics is constructed for a radiation field in vacuum sandwiched by two black bodies of different temperatures. Because of the collisionless nature of photons, a steady state of a radiation…

Statistical Mechanics · Physics 2015-06-25 Hiromi Saida

We study the blackbody properties and the thermodynamic equilibrium quantities of a photon gas in the framework of nonlinear electrodynamics. In this vein, we take into account the photon propagation in a uniform external magnetic field in…

Statistical Mechanics · Physics 2023-08-23 I. Soares , R. Turcati , S. B. Duarte

The integral law of thermal radiation by finite size emitters is studied. Two geometrical characteristics of a radiating body or a cavity, its volume and its boundary area, define two terms in its radiance. The term defined by the volume…

Classical Physics · Physics 2018-01-03 Yuri V. Gusev

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

Quantum Physics · Physics 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

We study the situation in which the distribution of temperature a body is due to its interaction with radiation. We consider the boundary value problem for the stationary radiative transfer equation under the assumption of the local…

Analysis of PDEs · Mathematics 2025-06-02 Elena Demattè , Juan J. L. Velázquez

A self-consistent approach to nonequilibrium radiation temperature is introduced using the distribution of the energy over states. We begin rigorously with ensembles of Hilbert spaces and end with practical examples based mainly on the far…

Statistical Mechanics · Physics 2009-11-07 Christopher Essex , Dallas C. Kennedy , R. Stephen Berry

Photons in blackbody radiation have non-zero interactions due to their couplings to virtual electron-positron pairs in the vacuum. For temperatures much less than the electron mass $m$ these effects can be described by an effective theory…

High Energy Physics - Phenomenology · Physics 2007-05-23 Finn Ravndal

We study the Casimir-Lifshitz force and the radiative heat transfer occurring between two arbitrary bodies, each one held at a given temperature, surrounded by environmental radiation at a third temperature. The system, in stationary…

Quantum Physics · Physics 2011-09-12 Riccardo Messina , Mauro Antezza

We show that a gas thermometer in contact with a stationary classical system out of thermal (Boltzmann) equilibrium evolves, under very general conditions, towards a state characterized by a Levy velocity distribution. Our approach is based…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette , Marcelo A. Montemurro

When two objects at different temperatures are separated by a vacuum gap they can exchange heat by radiation only. At large separation distances (far-field regime) the amount of transferred heat flux is limited by Stefan-Boltzmann's law…

Classical Physics · Physics 2021-07-30 Ivan Latella , Svend-Age Biehs , Philippe Ben-Abdallah

A theory of thermal and nonthermal radiation in a vacuum background of arbitrary temperature generated by relativistic polarizable particle with spin is proposed. When the particle rotates, radiation is produced by vacuum fluctuations even…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 A. A. Kyasov , G. V Dedkov

We solve for a system that emits acceleration radiation at two different temperatures. The equilibrium states occur asymptotically in Planck distributions and transition non-thermally. The model is simple enough to obtain a global solution…

General Relativity and Quantum Cosmology · Physics 2021-10-29 Michael R. R. Good , Ayan Mitra , Vasileios Zarikas

The stationary thermionic electron emission currents from heated metals are compared against an analytical expression derived using a non equilibrium quantum Kappa energy distribution for the electrons. This later depends on the temperature…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Juan-Luis Domenech-Garret , Sandra-P. Tierno , Luis Conde

Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient $\sigma$. Assume that, on the boundary of the half-space, the radiation intensity satisfies the Lambert (i.e. diffuse)…

Analysis of PDEs · Mathematics 2018-09-18 Claude Bardos , François Golse , Iván Moyano

Quantum and thermal fluctuations of electromagnetic waves are the cornerstone of quantum and statistical physics, and inherent to such phenomena as thermal radiation and van der Waals forces. While the basic principles are the material of…

Other Condensed Matter · Physics 2017-05-24 G. Bimonte , T. Emig , M. Kardar , M. Krüger

Using the principle of detailed balance and the assumption on the absorption cross-section consistent with available astrophysical data, we obtain the energy distribution of atoms in the field of thermal blackbody radiation and show that…

Astrophysics · Physics 2007-05-23 F. V. Prigara

The Stefan-Boltzmann (SB) law relates the emissivity $q$, given in $Wm^{-2}$, of an ideal black-body cavity at thermal equilibrium to the fourth power of the absolute temperature $T$ as $q=\sigma T^4$, with $\sigma = 5.67 \times 10^{-8} \ W…

Statistical Mechanics · Physics 2022-05-30 Lino Reggiani , Eleonora Alfinito

We use the work done on and the heat removed from a system to maintain it in a nonequilibrium steady state for a thermodynamic-like description of such a system as well as of its fluctuations. Based on a generalized Onsager-Machlup theory…

Statistical Mechanics · Physics 2008-02-10 Tooru Taniguchi , E. G. D. Cohen

Planck's law of thermal radiation depends on the temperature, $T$, and the emissivity, $\epsilon$, of a body, where emissivity is the coupling of heat to radiation that depends on both phonon-electron nonradiative interactions and…

Optics · Physics 2025-08-21 M. Kurtulik , M. Shimanovic , T. Bar Lev , R. Weill , A. Manor , M. Shustov , C. Rotschild

The Casimir force between arbitrary objects in equilibrium is related to scattering from individual bodies. We extend this approach to heat transfer and Casimir forces in non-equilibrium cases where each body, and the environment, is at a…

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