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200 papers

We study a second-order parabolic equation with divergence form elliptic operator, having piecewise constant diffusion coefficients with two points of discontinuity. Such partial differential equations appear in the modelization of…

Probability · Mathematics 2013-12-31 Zhen-Qing Chen , Mounir Zili

We propose experimental protocols to reveal thermoelectric and thermal effects in the transport properties of ultracold fermionic atoms, using the two-terminal setup recently realized at ETH. We show in particular that, for two reservoirs…

Quantum Gases · Physics 2013-11-12 Charles Grenier , Corinna Kollath , Antoine Georges

Heat dissipation is one of the most serious problems in modern integrated electronics with the continuously decreasing devices size. Large portion of the consumed power is inevitably dissipated in the form of waste heat which not only…

Applied Physics · Physics 2021-07-21 Xue Gong , Ruijie Qian , Huanyi Xue , Weikang Lu , Zhenghua An

We analyze a recent application of homotopy perturbation method to some heat-like and wave-like models and show that its main results are merely the Taylor expansions of exponential and hyperbolic functions. Besides, the authors require…

Mathematical Physics · Physics 2008-11-18 Francisco M. Fernandez

We study the thermoelectric effect of two-dimensional metals on a square lattice within semiclassical Boltzmann transport theory with particular focus on electron-electron scattering. We compute the electrical conductivity and the Seebeck…

Strongly Correlated Electrons · Physics 2013-09-17 Jonathan M. Buhmann , Manfred Sigrist

An asymmetry as a function of the direction of current flow is observed in the current-voltage characteristic (CVC) and its first and second derivatives for point heterocontacts between pure metals {Cu, Ni, Fe) as well as between these…

Mesoscale and Nanoscale Physics · Physics 2013-06-19 Yu. G. Naidyuk , N. N. Gribov , O. I. Shklyarevskii , A. G. M. Jansen , I. K. Yanson

We study thermoelectric phenomena in a system consisting of strongly correlated quantum dot coupled to external leads in the Kondo regime. We calculate linear and nonlinear electrical and thermal conductance and thermopower of the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Krawiec , K. I. Wysokinski

This paper is concerned with weighted energy estimates and diffusion phenomena for the initial-boundary problem of the wave equation with space-dependent damping term in an exterior domain. In this analysis, an elliptic problem was…

Analysis of PDEs · Mathematics 2016-11-24 Motohiro Sobajima , Yuta Wakasugi

The electronic properties of disordered systems have been the subject of intense study for several decades. Thermoelectric properties, such as thermopower and thermal conductivity, have been relatively neglected. A long standing problem is…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. A. Roemer , A. MacKinnon , C. Villagonzalo

A transient Poisson-Nernst-Planck system with steric effects is analyzed in a bounded domain with no-flux boundary conditions for the ion concentrations and mixed Dirichlet-Neumann boundary conditions for the electric potential. The steric…

Analysis of PDEs · Mathematics 2024-11-27 Peter Hirvonen , Ansgar Jüngel

It is shown that the concept of elementary resonator in the theory of thermal radiation implies the indivisible connection between particles (photons) and electromagnetic waves. This wave-particle duality covers both the Wien and…

Quantum Physics · Physics 2007-05-23 Fedor V. Prigara

The electronic thermoelectric coefficients are analyzed in the vicinity of one and two Anderson localization thresholds in three dimensions. For a single mobility edge, we correct and extend previous studies, and find universal approximants…

Disordered Systems and Neural Networks · Physics 2017-10-09 Kaoru Yamamoto , Amnon Aharony , Ora Entin-Wohlman , Naomichi Hatano

Thermoelectricity is generally understood as a classical effect emerging from energy-dependent transport asymmetries. Here we uncover a purely quantum mechanism, where a superconducting S-I-S' tunnel junction in thermal equilibrium develops…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Filippo Antola , Giorgio De Simoni , Francesco Giazotto , Alessandro Braggio

We present systematic theoretical results on thermoelectric effects in semimetals based on the variational method of the linearized Boltzmann equation. Inelastic electron-hole scattering is known to play an important role in the unusual…

Strongly Correlated Electrons · Physics 2023-03-31 Keigo Takahashi , Hiroyasu Matsuura , Hideaki Maebashi , Masao Ogata

In this Letter we study thermoelectric effects in ultra small quantum dots. We study the behaviour of the thermopower, Peltier coefficient and thermal conductance both in the sequencial tunneling regime and in the regime where Kondo…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Boese , Rosario Fazio

The effects of radiation on the structure of shocks in a fully-ionized plasma are investigated by solving the steady-state fluid equations for ions, electrons, and radiation. The electrons and ions are assumed to have the same bulk velocity…

High Energy Astrophysical Phenomena · Physics 2016-03-28 Bryan M. Johnson , Richard I. Klein

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

Thermoelectric effects in a double quantum dot system coupled to external magnetic/nonmagnetic leads are investigated theoretically. The basic thermoelectric transport characteristics, like thermopower, electronic contribution to heat…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Piotr Trocha , Józef Barnaś

In this paper we study Cauchy problem for thermoelastic plate equations with friction or structural damping in $\mathbb{R}^n$, $n\geq1$, where the heat conduction is modeled by Fourier's law. We explain some qualitative properties of…

Analysis of PDEs · Mathematics 2020-05-19 Wenhui Chen

The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented through a Stefan type problem. The temperature field for…

Analysis of PDEs · Mathematics 2023-11-07 Julieta Bollati , Adriana C. Briozzo , Stanislav N. Kharin , Targyn A. Nauryz