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We analyze an optimization problem of the conductivity in a composite material arising in a heat conduction energy storage problem. The model is described by the heat equation that specifies the heat exchange between two types of materials…

Optimization and Control · Mathematics 2024-04-01 M. Azaiez , A. Doubova , S. Ervedoza , F. Jelassi , M. Mint Brahim

In this letter, we study the radiative heat transfer between two nanoparticles in the near field and in the far field. We find that the heat transfer is dominated by the electric dipole-dipole interaction for dielectric particles and by the…

We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in…

Materials Science · Physics 2022-02-25 Eleanor R. Russell , Raphaël C. Assier , William J. Parnell

We investigate heat propagation in rigidly rotating bodies within the theory of general relativity. Using a first-order gradient expansion, we derive a universal partial differential equation governing the temperature evolution. This…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Lorenzo Gavassino , Marco Antonelli

Propagation equations for optical pulses are needed to assist in describing applications in ever more extreme situations -- including those in metamaterials with linear and nonlinear magnetic responses. Here I show how to derive a single…

Optics · Physics 2014-05-14 Paul Kinsler

Thermionic emission has been exploited to give rise to the theory of thermionic cooling also known as electron transpiration cooling, which can potentially serve as a powerful and engineerable cooling mode for hypersonic leading edges that…

Plasma Physics · Physics 2025-02-25 Indronil Ghosh , Timothy S. Fisher

Energy transport theories are being revisited at the nanoscale, as macroscopic laws known since a century are broken at dimensions smaller than those associated with energy carriers. For thermal radiation, where the typical dimension is…

Chemical Physics · Physics 2021-10-20 Christophe Lucchesi , Rodolphe Vaillon , Pierre-Olivier Chapuis

We predict that the radiative heat-transfer rate between a cylinder and a perforated surface depends non-monotonically on their separation. This anomalous behavior, which arises due to near-field effects, is explained using a heuristic…

Topic is the divertor broadening $S$, being a result of perpendicular transport in the scrape-off layer and resulting in a better distribution of the power load onto the divertor target. Recent studies show a scaling of the divertor…

Plasma Physics · Physics 2019-05-28 Dirk Nille , Bernhard Sieglin , Thomas Eich

We present a ray-tracing technique for radiative transfer modeling of complex three-dimensional (3D) structures which include dense regions of high optical depth like in dense molecular clouds, circumstellar disks, envelopes of evolved…

Astrophysics · Physics 2009-11-11 J. Steinacker , A. Bacmann , Th. Henning

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

Near-field radiative heat transfer (NFRHT) between rough surfaces, due to its widespread presence in engineering practice of near-field energy utilization, requires indepth studies, especially from the perspective of physical mechanism. In…

Applied Physics · Physics 2019-07-09 Deyu Xu , Ahamed Bilal , Junming Zhao , Linhua Liu , Zhuomin Zhang

We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We study the system via reaction-diffusion equations, using the…

Statistical Mechanics · Physics 2009-11-11 Elisheva Cohen , David A. Kessler , Herbert Levine

Radiative transfer in curved spacetimes has become increasingly important to understanding high-energy astrophysical phenomena and testing general relativity in the strong field limit. The equations of radiative transfer are physically…

Astrophysics · Physics 2009-11-13 Avery E. Broderick

We study quasi-ballistic heat transfer through air between a hot nanometer-scale tip and a sample. The hot tip/surface configuration is widely used to perform nonintrusive confined heating. Using a Monte-Carlo simulation, we find that the…

Materials Science · Physics 2008-02-15 Pierre-Olivier Chapuis , Jean-Jacques Greffet , Karl Joulain , Sebastian Volz

Quasiparticle theory gives a local relation between heat current and temperature gradient, provided the quasiparticle mean free path is smaller than the scale of variation of temperature. When mean free paths are comparable to sample size,…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Philip B. Allen

We simulate convection near the solar surface, where the continuum optical depth is of order unity. Hence, to determine the radiative heating and cooling in the energy conservation equation, we must solve the radiative transfer equation…

Astrophysics · Physics 2007-05-23 Robert Stein , Aake Nordlund

We propose new small-sphere distributional families for modeling multivariate directional data on $(\mathbb{S}^{p-1})^K$ for $p \ge 3$ and $K \ge 1$. In a special case of univariate directions in $\Re^3$, the new densities model random…

Methodology · Statistics 2020-06-29 Byungwon Kim , Stephan Huckemann , Jörn Schulz , Sungkyu Jung

We present a theoretical study of near-field heat transfer between two anisotropic materials separated by a small vacuum gap and maintained in a stationary non-equilibrium thermal situation. By combining standard stochastic electrodynamics…

Mesoscale and Nanoscale Physics · Physics 2011-09-07 Svend-Age Biehs , Philippe Ben-Abdallah , Felipe S. S. Rosa , Karl Joulain , Jean-Jacques Greffet

We analyze the equilibrium spatial distribution of surface temperatures of patterned surfaces. The surface is exposed to a constant external heat flux and has a fixed internal temperature that is coupled to the outside heat fluxes by finite…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 Thorsten Emig