Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-12-18
Journal of the Physical Society of Japan, Vol.70, No.7, p.1954-p.1965 (2001)
Physics
Condensed Matter
Statistical Mechanics
31pages,9figures, to appear Journal of Physical Society of Japan Vol.70 No.7 (2001)
Scientific paper
The inelastic Lorentz gas in cooling states is studied. It is found that the inelastic Lorentz gas is localized and that the mean square displacement of the inelastic Lorentz gas obeys a power of a logarithmic function of time. It is also found that the scaled position distribution of the inelastic Lorentz gas has an exponential tail, while the distribution is close to the Gaussian near the peak. Using a random walk model, we derive an analytical expression of the mean square displacement as a function of time and the restitution coefficient, which well agrees with the data of our simulation. The exponential tail of the scaled position distribution function is also obtained by the method of steepest descent.
Hayakawa Hisao
Hyeon-Deuk Kim
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