Abstract: The
purpose of this paper is to understand equilibrium
statistical mechanics as one of aspects of the
dynamical system theory. In an equilibrium statistical
mechanical system composed of N
particles (e.g.,
N» 1023
), it seems natural to assume that (i) particles are
indistinguishable, (ii) we can get only the
information concerning N0particles
(e.g., N0
<< Nor N0£ 1018
<< 1023
). Under these assumptions and “the principle of
equal a priori probability”, we can explain the
reason why the thermodynamical weight method is valid
in usual circumstances of equilibrium statistical
mechanics. Through these results, we emphasize that
the dynamical system theoretical approach is quite
applicable.
Keywords and phrases: generalized dynamical system theory, equilibrium statistical mechanics, the principle of equal a priori probability, thermodynamical weights.
