Heat conduction in caricature models of the Lorentz gas

1987 ◽  
Vol 46 (1-2) ◽  
pp. 303-318 ◽  
Author(s):  
Andr�s Kr�mli ◽  
N�ndor Sim�nyi ◽  
Domokos Sz�sz
Keyword(s):  
Heat Conduction ◽  
Lorentz Gas

HEAT CONDUCTION IN HOMOGENEOUS AND HETEROGENEOUS BILLIARD SYSTEMS

2008 ◽  
Vol 22 (22) ◽  
pp. 3901-3914 ◽  
Author(s):  
JUN-WEN MAO ◽  
YOU-QUAN LI ◽  
LING-YUN DENG
Keyword(s):  
Heat Conduction ◽  
Phase Space ◽  
Power Law ◽  
Heat Conductivity ◽  
Lorentz Gas ◽  
Rotating Disks ◽  
One Dimensional ◽  
Power Law Decay ◽  
The Moment ◽  
Good Agreement

We investigate the heat conduction in a modified Lorentz gas with freely rotating disks periodically placed along one-dimensional channel. The heat conductivity is dependent on the moment of inertia η of the disks, with a power-law decay when η > 1. By plotting the Poincaré surface of the section, we observe a contraction of phase space over the range of η > 1, which is sensitive to the initial condition. We find that the power-law decay of the heat conductivity is relevant to the mixing phase space. As a possible application, we model the heterostructure by connecting the segments of different η, and predict the analytical results of the temperature profiles and the heat conductivity, which are in good agreement with the numerical ones.

On Heat Conduction in Highly Rarefied Air

1881 ◽  
Vol 11 (270supp) ◽  
pp. 4307-4307
Author(s):  
William Crookes
Keyword(s):  
Heat Conduction

Hard Ball Systems and the Lorentz Gas

2000 ◽  
Author(s):  
L. A. Bunimovich ◽  
D. Burago ◽  
N. Chernov ◽  
E. G. D. Cohen ◽  
C. P. Dettmann ◽  
...  
Keyword(s):  
Lorentz Gas ◽  
Hard Ball

To the solution of nonlinear inverse boundary value heat conduction problems

2016 ◽  
Vol 19 (1) ◽  
pp. 28-36 ◽  
Author(s):  
Yu. Matsevityy ◽  
◽  
N. Safonov ◽  
V. Ganchin ◽  
◽  
...  
Keyword(s):  
Heat Conduction ◽  
Boundary Value ◽  
Inverse Boundary
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