Showing papers by "Walter Kob published in 1994"
TL;DR: The predictions of mode-coupling-theory on the existence of a von Schweidler law are found to hold for a molecular dynamics simulation of a supercooled binary Lennard-Jones mixture and the exponents in these two power-laws are very close to satisfying the exponent relationship predicted by the mode-Coupling theory.
Abstract: We have performed molecular dynamics simulations of a supercooled atomic liquid. The self-intermediate-scattering function in the $\ensuremath{\beta}$-relaxation regime has a power-law time dependence and temperature dependence consistent with the mode-coupling-theory prediction of a von Schweidler 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 temperature. The exponents for diffusion differ from those of the relaxtion time, a result that is in disagreement with the theory.
576 citations
TL;DR: In this paper, the authors present the results of a large-scale molecular-dynamics computer simulation of a binary, supercooled Lennard-Jones fluid, and show that at low temperatures and intermediate times the time dependence of the intermediate scattering function is well described by a von Schweidler law.
Abstract: We present the results of a large-scale molecular-dynamics computer simulation of a binary, supercooled Lennard-Jones fluid. At low temperatures and intermediate times the time dependence of the intermediate scattering function is well described by a von Schweidler law. The von Schweidler exponent is independent of temperature and depends only weakly on the type of correlator. For long times the correlation functions show a Kohlrausch behavior with an exponent β that is independent of temperature. This dynamical behavior is in accordance with the mode-coupling theory of supercooled liquids.
22 citations
TL;DR: In this article, the authors present the results of a large scale molecular dynamics computer simulation of a binary, supercooled Lennard-Jones fluid and show that at low temperatures and intermediate times the time dependence of the intermediate scattering function is well described by a von Schweidler law.
Abstract: We present the results of a large scale molecular dynamics computer simulation of a binary, supercooled Lennard-Jones fluid. At low temperatures and intermediate times the time dependence of the intermediate scattering function is well described by a von Schweidler law. The von Schweidler exponent is independent of temperature and depends only weakly on the type of correlator. For long times the correlation functions show a Kohlrausch behavior with an exponent $\beta$ that is independent of temperature. This dynamical behavior is in accordance with the mode-coupling theory of supercooled liquids.