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In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

The diffusion of energy that is locally deposited into two-dimensional electron gases by Joule heating generates transverse voltages across devices with broken symmetry. For mesoscopic structures characterized by device dimensions…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Stephan Rojek , Jürgen König

Joule-heating induced conductance-switching is studied in VO2, a Mott insulator. Complementary in-situ techniques including optical characterization, blackbody microscopy, scanning transmission x-ray microscopy (STXM) and numerical…

We investigate the relationship between a diffusive motion of an interface, heat conduction, and the roughening transition in the three-dimensional Ising model. We numerically compute the thermal conductivity and the diffusion constant and…

Statistical Mechanics · Physics 2019-06-05 Yusuke Masumoto , Shinji Takesue

A theoretical study of small thermal and electromagnetic perturbations in type-II superconductors is studied in the flux creep regime with a power-law voltage-current characteristics. The space-time evolution of temperature and electric…

Superconductivity · Physics 2015-03-13 N. A. Taylanov , A. S. Rakhmatov

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

For a decade the fate of a one-dimensional gas of interacting bosons in an external trapping potential remained mysterious. We here show that whenever the underlying integrability of the gas is broken by the presence of the external…

Quantum Gases · Physics 2021-01-04 Alvise Bastianello , Andrea De Luca , Benjamin Doyon , Jacopo De Nardis

Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

The dependence on chopper frequency of the effective thermal diffusivity and effective thermal conductivity in photoacoustic experiments is discussed. The theoretical model of a two-layer structure at rear-surface illumination in the high…

Condensed Matter · Physics 2009-11-07 Yu. G. Gurevich , G. N. Logvinov , N. Munoz-Aguirre , L. Martinez-Perez

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

I numerically analyze Joule heating in large Bi2212 mesas while taking into account typical thermal conductivities and their temperature dependencies of all the materials involved in the heat dissipation and its removal. Such mesas are used…

Superconductivity · Physics 2010-05-18 A. Yurgens

We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities. The large time behavior of temperature, the solution of the problem, is studied when…

Analysis of PDEs · Mathematics 2021-09-21 Hyeonbae Kang , Shigeru Sakaguchi

Interleaving fins can significantly increase the heat transfer by increasing the effective area per unit base area. The fins are separated uniformly by a gap, which is filled with a flow medium to control the heat flux. The heat flux…

Applied Physics · Physics 2019-12-25 M. A. J. van Limbeek , S. Vanapalli

At a composition far above the percolation threshold, the resistance of a composite sample increases with time due to Joule heating as a constant current of sufficiently large value is passed through the sample. If the current is less than…

Soft Condensed Matter · Physics 2007-05-23 C. D. Mukherjee , K. K. Bardhan

A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, with zero temperature boundary conditions at the walls.…

Fluid Dynamics · Physics 2018-02-23 Florence Marcotte , Charles R. Doering , Jean-Luc Thiffeault , William R. Young

We consider the Johnson noise of a two-dimensional, two-terminal electrical conductor for which the electron system obeys the Wiedemann-Franz law. We derive two simple and generic relations between the Johnson Noise temperature and the heat…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Calvin Pozderac , Brian Skinner

This paper investigates an induction heating problem in a multi-component system containing a moving non-magnetic conductor. The electromagnetic process is described by the eddy current model, and the heat transfer process is governed by…

Numerical Analysis · Mathematics 2024-10-10 Van Chien Le , Marián Slodička , Karel Van Bockstal

Convection of an internally heated fluid, confined between top and bottom plates of equal temperature, is studied by direct numerical simulation in two and three dimensions. The unstably stratified upper region drives convection that…

Fluid Dynamics · Physics 2016-06-30 David Goluskin , Erwin P. van der Poel

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

In this paper, we study the formation of finite time singularities for the solution of the boundary layer equations in the two-dimensional incompressible heat conducting flow. We obtain that the first spacial derivative of the solution…

Analysis of PDEs · Mathematics 2019-03-19 Ya-Guang Wang , Shi-Yong Zhu
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