Abstract
We study the statistics of flow events in the inherent dynamics in supercooled two- and three-dimensional binary Lennard-Jones liquids. Distributions of changes of the collective quantities energy, pressure, and shear stress become exponential at low temperatures, as does that of the event "size" S identical with summation operator[under ][over ]d_{i};{2}. We show how the S distribution controls the others, while itself following from exponential tails in the distributions of (1) single particle displacements d, involving a Lindemann-like length d_{L} and (2) the number of active particles (with d>d_{L}).
Highlights
We study the statistics of flow events in the inherent dynamics in supercooled two- and threedimensional binary Lennard-Jones liquids
For viscous liquids, it has been accepted since Goldstein’s 1969 paper [6] that the dynamics may be understood in terms of a division into fast vibrational motion around a particular energy minimum, and relatively rare transitions between neighboring minima. It is the latter that are responsible for the slow dynamics [7,12]; a detailed understanding of their nature is essential, since many theoretical approaches start by making assumptions about the flow events [13,14,15]
Vogel et al [16] studied the relation between particle displacements and the size of energy changes during flow events, and while they reported exponential tails in both, they did not examine their relationship in detail, while Schrøder et al reported such tails in flow-event displacements [7]
Summary
We study the statistics of flow events in the inherent dynamics in supercooled two- and threedimensional binary Lennard-Jones liquids. Become exponential distribution controls at low temperatures, as does that the others, while itself following of the event ‘‘size’’ S from exponential tails in the distributions of (1) single particle displacements d, involving a Lindemann-like length dL and (2) the number of active particles (with d > dL). Vogel et al [16] studied the relation between particle displacements and the size of energy changes during flow events, and while they reported exponential tails in both, they did not examine their relationship in detail, while Schrøder et al reported such tails in flow-event displacements [7].
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