  We derive an equation for the glass relaxation. In the derivation, the
Zwanzig-Mori projection method is not applied explicitly, which makes our
equation different from the mode coupling theory. Due to the nonlinearity, it
is difficult to solve the equation to get the full behaviors of the glass
relaxation. But we can simplify the equation when time approaches infinity and
obtain the static result analytically. The static result shows that the density
correlation function decays to zero finally, meaning that the glass relaxation
is ergodic. In this study, we also find that the force fluctuation of one
individual particle averaged in the glass is sensitive to the temperature and
is suggested to be a parameter to reflect the structural transition for the
glass relaxation.

Disordered Systems and Neural Networks