Microscopic theory for hopping transport in glass-forming liquids

Cliff Z.-W. Liu and Irwin Oppenheim

Physica A: Statistical Mechanics and its Applications, 1997, vol. 247, issue 1, 183-195

Abstract: Under the assumption that structural relaxation is dominated by the decay of clusters of particles, we develop a microscopic theory for transport in a strongly supercooled liquid. By introducing a local order parameter that describes the geometry of particle aggregates in addition to the number density and momentum density, we obtain an expression for the effective longitudinal viscosity in which a hopping tem emerges nonperturbatively. We find that the hopping kernel of the present work arises from couplings to bilinear density-momentum modes in agreement with previous mode-coupling treatments. However, the magnitude of the hopping kernel is suppressed through a wave vector cutoff instead of the previously suggested initial time cutoff.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:247:y:1997:i:1:p:183-195

DOI: 10.1016/S0378-4371(97)00409-3

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