Exponential distributions of collective flow-event properties in viscous liquid dynamics

Nicholas P. Bailey; Thomas B. Schrøder; Jeppe C. Dyre

doi:10.1103/physrevlett.102.055701

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arXiv · 0803.1812

Exponential distributions of collective flow-event properties in viscous liquid dynamics

Nicholas P. Bailey·Thomas B. Schrøder·Jeppe C. Dyre

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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" $S\equiv\sum {d_i}^2$. 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 $d>d_L$).

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Nicholas P. Bailey, Thomas B. Schrøder, Jeppe C. Dyre. 2009-01-08. Exponential distributions of collective flow-event properties in viscous liquid dynamics. https://doi.org/10.1103/physrevlett.102.055701

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