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Warming in complex physical systems, in particular global warming, attracts significant contemporary interest. It is essential, therefore, to understand basic physical mechanisms leading to overheating. It is well known that application of…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 N. Romero Kalmanovitz , A. A. Bykov , S. A. Vitkalov , A. I. Toropov

An accurate and comprehensive numerical solution to the parabolic free boundary problem arising from thin film flow with both velocity and temperature distribution at large Reynolds numbers is obtained using a modified Keller box method. A…

Fluid Dynamics · Physics 2024-08-20 Jian-Jun Shu , Graham Wilks

Heat transfer is studied in the system of electron double layers of correlated composite fermion quantum liquids. In the near-field regime, the primary mechanism governing interlayer energy transfer is mediated by the Coulomb interaction of…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Dmitry Zverevich , Alex Levchenko

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

The complex time-dependent heat and electromagnetic energy transfer in a new type of cooling system is analyzed. The system consists of a cold body, a Peltier element and an electric circuit containing an inductor with controllable…

Applied Physics · Physics 2020-02-11 Viorel Badescu

We present a unified framework to simulate heat and mass transport in systems of particles. The proposed framework is based on kinematic mean field theory and uses a phenomenological master equation to compute effective transport rates…

Computational Physics · Physics 2018-04-04 M. Ponga , D. Sun

We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct temperatures placed at the endpoints of the chain. While…

Mathematical Physics · Physics 2025-12-05 Tomasz Komorowski , Stefano Olla

Using the Landauer-Buttiker theory we calculate the thermal conductance associated to plasmons modes in one dimensional arrays of nanoparticles closely spaced in a host fluid. Our numerical simulations show that the near-field interactions…

Mesoscale and Nanoscale Physics · Physics 2008-01-25 Philippe Ben-Abdallah

We study heat transfer from a heated nanoparticle into surrounding fluid, using molecular dynamics simulations. We show that the fluid next to the nanoparticle can be heated well above its boiling point without a phase change. Under…

Materials Science · Physics 2009-12-17 Samy Merabia , Pawel Keblinski , Laurent Joly , Laurent Lewis , Jean-Louis Barrat

In this article we study a mathematical model of the heat transfer in semi infinite material with a variable cross section, when the radial component of the temperature gradient can be neglected in comparison with the axial component is…

Analysis of PDEs · Mathematics 2022-07-05 Targyn A. Nauryz , Adriana C. Briozzo

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

Statistical Mechanics · Physics 2025-08-06 David Wallace

This paper considers one-dimensional heat transfer in a media with temperature-dependent thermal conductivity. To model the transient behavior of the system, we solve numerically the one-dimensional unsteady heat conduction equation with…

Numerical Analysis · Mathematics 2018-11-16 Stefan M Filipov , István Faragó

We describe results of computer simulations of steady state heat transport in a fluid of hard discs undergoing both elastic interparticle collisions and velocity randomizing collisions which do not conserve momentum. The system consists of…

Statistical Mechanics · Physics 2020-06-24 Pedro L. Garrido , Joel L. Lebowitz

Let $\Omega\subset\R^n$, $n\ge 3$, be a smooth bounded domain and consider a coupled system in $\Omega$ consisting of a conductivity equation $\nabla \cdot \gamma(x) \nabla u(t,x)=0$ and an anisotropic heat equation…

Analysis of PDEs · Mathematics 2010-12-15 Katsiaryna Krupchyk , Matti Lassas , Samuli Siltanen

We investigate the radiative heat transfer along a chain of nanoparticles using both a purely kinetic approach based on the solution of a Boltzmann transport equation and an exact method (Landauer's approach) based on fluctuational…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Christoph Kathmann , Riccardo Messina , Philippe Ben-Abdallah , Svend-Age Biehs

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

Mathematical Physics · Physics 2012-01-24 Nikolaj A. Veniaminov

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature $T$, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a…

Statistical Mechanics · Physics 2007-05-23 Ph. A. Martin , J. Piasecki

We study the transition probabilities of a two-point measurement on a quantum system, initially prepared in a thermal state. We find two independent constraints on the difference between transition probabilities when the system is prepared…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Inès Safi , Janine Splettstoesser

In this contribution, we study situations in which nanoparticles in a fluid are strongly heated, generating high heat fluxes. This situation is relevant to experiments in which a fluid is locally heated using selective absorption of…

Materials Science · Physics 2009-11-16 Samy Merabia , Serguei Shenogin , Laurent Joly , Pawel Keblinski , J. -L. Barrat

Anomalous heat transfer (AHT), a process by which heat spontaneously flows from a cold system into a hot one, superficially contradicts the Clausius statement of the second law of thermodynamics. Here we provide a full classification of…

Quantum Physics · Physics 2024-12-31 Teng Ma , Jing-Ning Zhang , Yuan-Sheng Wang , Hong-Yi Xie , Man-Hong Yung