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We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. We prove the existence of a blow-up solution, and give its blow-up profile. Our proof relies on…

Analysis of PDEs · Mathematics 2020-07-03 Bouthaina Abdelhedi , Hatem Zaag

Heat conduction in three-dimensional nonlinear lattices is investigated using a particle dynamics simulation. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) nonlinear lattices, in which the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Satoshi Yukawa , Nobuyasu Ito

We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

Plasmonic nanoheaters are reported that produce a significant local heating when excited by a 532 nm wavelength focussed laser beam. A significant temperature increase derives from the strong confinement of electric field enabled by the…

The decay time of the linear polarization degree of the luminescence in strongly confined semiconductor quantum dots with asymmetrical shape is calculated in the frame of second-order quasielastic interaction between quantum dot charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Tsitsishvili , R. v. Baltz , H. Kalt

We consider nanowires in the field effect transistor device configuration. Modeling each nanowire as a one dimensional lattice with random site potentials, we study the heat exchanges between the nanowire electrons and the substrate…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Riccardo Bosisio , Cosimo Gorini , Geneviève Fleury , Jean-Louis Pichard

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

Steady-state thermal transport in nanostructures with dimensions comparable to the phonon mean-free-path is examined. Both the case of contacts at different temperatures with no internal heat generation and contacts at the same temperature…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Jan Kaiser , Tianli Feng , Jesse Maassen , Xufeng Wang , Xiulin Ruan , Mark Lundstrom

We consider a question motivated by the third law of thermodynamics: can there be a local temperature arbitrarily close to absolute zero in a nonequilibrium quantum system? We consider nanoscale quantum conductors with the source reservoir…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Abhay Shastry , Charles A. Stafford

We report on an experimental and theoretical study of nonlocal transport in superconductor hybrid structures, where two normal-metal leads are attached to a central superconducting wire. As a function of voltage bias applied to both…

Superconductivity · Physics 2013-11-15 S. Kolenda , M. J. Wolf , D. S. Golubev , A. D. Zaikin , D. Beckmann

The theory of open quantum systems is used to study the local temperature and heat currents in metallic nanowires connected to leads at different temperatures. We show that for ballistic wires the local temperature is almost uniform along…

Statistical Mechanics · Physics 2009-11-13 Y. Dubi , Y. Di Ventra

We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi one dimensional channel with triangular scatterers with internal angles irrational multiples of pi and we show…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Giulio Casati , Jiao Wang

The temperature of a physical system is operationally defined in physics as "that quantity which is measured by a thermometer" weakly coupled to, and at equilibrium with the system. This definition is unique only at global equilibrium in…

Statistical Mechanics · Physics 2020-01-08 Daochi Zhang , Xiao Zheng , Massimiliano Di Ventra

Laser melting of semiconductors has been observed for almost 40 years; surprisingly, it is not well understood where most theoretical simulations show a laser-induced thermal process. $\textit{Ab initio}$ nonadiabatic simulations based on…

Materials Science · Physics 2016-12-06 Chao Lian , S. B. Zhang , Sheng Meng

This work investigates the impact of device length on thermal conductivity in periodic and aperiodic superlattices (SLs). While it is well known that thermal conductivity in aperiodic SLs exhibits a weaker dependence on device length…

Materials Science · Physics 2024-12-23 Theodore Maranets , Yan Wang

The possibility of the non local physics application in the theory of superconductivity is investigated. It is shown that by the superconducting conditions the relay ("estafette") motion of the soliton' system ("attice ion - electron") is…

General Physics · Physics 2012-03-07 Boris V. Alexeev

We investigate the role of local heating and forces on ions in the stability of current-carrying aluminum wires. We find that heating increases with wire length due to a red shift of the frequency spectrum. Nevertheless, the local…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Z. Yang , M. Chshiev , M. Zwolak , Y. -C. Chen , M. Di Ventra

A theory of transverse electron transport coupled with heat transfer in semiconductor thin films is developed conceptually modeling structures of modern electronics. The transverse currents generate Joule heat with positive feedback through…

Disordered Systems and Neural Networks · Physics 2015-06-05 V. G. Karpov

We show that the local temperature dependence of thermalized electron and phonon populations along metallic carbon nanotubes is the main reason behind this non-linear transport characteristics in the high bias regime. Our model that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Kuroda , J. -P. Leburton

The study of heat transport in micro/nanoscale structures due to their application, especially in Nanoelectronics, is a matter of interest. In other words, the precise simulation of the temperature distribution inside the transistors is…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Roya Baratifarimani , Zahra Shomali
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