The Statistical Mechanical Aspect of H-Theorem

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概要

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• A simple model of diffusion is investigated without the assumption such as the "Stosszahlansatz". We consider a one-dimensional box which is divided into two parts by a wall at its middle point. In the left of the box, at time t=0, there are N small particles which collide with each other elastically. If the wall is removed at t=0 these particles diffuse into the right half of the box and the number of particles n(t)in the left half of the box changes, decreases generally, as a function of time t. The behavior of functions n(t)in this process, which have widely different properties according as the choice of initial conditions or mechanical trajectories in phase space, are examined and it is shown that if the number of particles is sufficiently large almost all the trajectories show the mean property of n(t)which is characterized by the irreversibility. Further our results obtained here are compared with those calculated by the usual method in which the "Stosszahlansatz" is used as a basic assumption. Finally a statistical mechanical interpretation of H-theorem which seems to be a generalization of our results is presented.

• 理論物理学刊行会の論文

著者

• Suzuki Chieko

  Department Of Gastroenterology And Hepatology Yamaguchi University School Of Medicine

• TERAMOTO Ei

  Department of Physics, Kyoto University

• Teramoto Ei

  Department Of Biophysics Kyoto University

• Suzuki Chieko

  Department Of Physics Kyoto University

• SUZUKI Chieko

  Department of Physics, Kyoto University

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