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

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

2008-03-12

arxiv.org/abs/0803.1812v2

Phys. Rev. Lett., 102, 055701 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepter version (PRL)

Scientific paper

10.1103/PhysRevLett.102.055701

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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