6533b873fe1ef96bd12d4a74

RESEARCH PRODUCT

Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture

Walter KobHans C. Andersen

subject

Applied MathematicsGeneral Physics and AstronomyBinary numberTransportationStatistical and Nonlinear PhysicsMolecular dynamicsFactorizationTime–temperature superpositionMode couplingExponentStatistical physicsCritical exponentScalingMathematical PhysicsMathematics

description

Abstract We have performed a molecular dynamics computer simulation study to investigate the dynamical behavior of a supercooled simple liquid for comparison with the predictions of mode-coupling theory (MCT). By scaling the intermediate scattering function by the α-relaxation time r we find that the correlators fall onto a master curve extending over several decades in time. Thus we find that the time temperature superposition principle holds. In the late β-relaxation regime this master curve can be fitted very well by a master curve predicted by the idealized version MCT. However, there is no evidence for the presence of the critical decay predicted by the theory for the early part of the β-relaxation regime. We show that in the β-relaxation regime the van Hove correlation function obeys the factorization property. The scaling times r show at low temperatures a power-law behavior. The relation proposed by MCT between the critical exponent of this power-law and the von Schweidler exponent is fulfilled. A...

https://doi.org/10.1080/00411459508203949