W. Kob et Hc. Andersen, SCALING BEHAVIOR IN THE BETA-RELAXATION REGIME OF A SUPERCOOLED LENNARD-JONES MIXTURE, Physical review letters, 73(10), 1994, pp. 1376-1379
We have performed molecular dynamics simulations of a supercooled atom
ic liquid. The self-intermediate-scattering function in the beta-relax
ation regime has a power-law time dependence and temperature dependenc
e consistent with the mode-coupling-theory prediction of a von Schweid
ler law, with exponents that are very close to satisfying the exponent
relationship predicted by the theory. The diffusion constants have a
power-law dependence on temperature with the same critical. temperatur
e. The exponents for diffusion differ from those of the relaxation tim
e, a result that is in disagreement with the theory.