scholarly journals An open microscopic model of heat conduction: evolution and non-equilibrium stationary states

2020 ◽  
Vol 18 (3) ◽  
pp. 751-780
Author(s):  
Tomasz Komorowski ◽  
Stefano Olla ◽  
Marielle Simon
Keyword(s):  
Heat Conduction ◽  
Microscopic Model ◽  
Stationary States ◽  
Non Equilibrium

scholarly journals Theories and heat pulse experiments of non-Fourier heat conduction

2016 ◽  
Vol 7 (2) ◽  
pp. 150-166 ◽  
Author(s):  
Péter Ván
Keyword(s):  
Heat Conduction ◽  
Heat Pulse ◽  
Theoretical Background ◽  
Point Of View ◽  
Experimental Basis ◽  
Equilibrium Thermodynamics ◽  
Fourier Heat Conduction ◽  
Non Equilibrium

Abstract The experimental basis and theoretical background of non-Fourier heat conduction is shortly reviewed from the point of view of non-equilibrium thermodynamics. The performance of different theories is compared in case of heat pulse experiments.

Wave Characteristics of Heat Conduction Using a Discrete Microscopic Model

1989 ◽  
Vol 111 (2) ◽  
pp. 225-231 ◽  
Author(s):  
K. J. Cheng
Keyword(s):  
Heat Conduction ◽  
Knudsen Number ◽  
Initial Temperature ◽  
Propagation Speed ◽  
Microscopic Model ◽  
Boltzmann Transport ◽  
Temperature Pulse ◽  
Low Degree ◽  
Density Disturbance ◽  
High Degree

The wave properties of heat conduction are studied using a discrete velocity microscopic model. In this model, molecules move with two possible speeds along one of six allowable directions, and the molecular dynamics are governed by the Boltzmann transport equation. Macroscopic quantities such as temperature and density are extracted from the distribution of molecules among various possible states. It is found that at a low degree of rarefaction (low Knudsen number), an initial temperature pulse simply spreads out with time without exhibiting any wavelike behavior. But at a high degree of rarefaction (high Knudsen number), an initial temperature pulse propagates as a highly damped temperature ripple at almost constant speed. The thermal propagation speed thus obtained agrees with the value predicted from macroscopic equations. This propagation of temperature pulse is then compared with the propagation of density disturbance (sound wave) using the same model.

scholarly journals Non-equilibrium and non-linear stationary states in thermoelectric materials

2004 ◽  
Vol 130 (8) ◽  
pp. 507-510 ◽  
Author(s):  
H. Iwasaki ◽  
M. Koyano ◽  
Y. Yamamura ◽  
H. Hori
Keyword(s):  
Thermoelectric Materials ◽  
Stationary States ◽  
Non Linear ◽  
Non Equilibrium

scholarly journals Kinetic theory for non-equilibrium stationary states in long-range interacting systems

2012 ◽  
Vol 2012 (01) ◽  
pp. L01002 ◽  
Author(s):  
Cesare Nardini ◽  
Shamik Gupta ◽  
Stefano Ruffo ◽  
Thierry Dauxois ◽  
Freddy Bouchet
Keyword(s):  
Kinetic Theory ◽  
Long Range ◽  
Stationary States ◽  
Interacting Systems ◽  
Non Equilibrium
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