Topological persistence and dynamical heterogeneities near jamming

Details Topological persistence and dynamical heterogeneities near jamming Topological persistence and dynamical heterogeneities near jamming

2007-07-27

arxiv.org/abs/0707.4178v1

Phys. Rev. E 76, 021306/1-9 (2007)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.76.021306

We introduce topological methods for quantifying spatially heterogeneous dynamics, and use these tools to analyze particle-tracking data for a quasi-two-dimensional granular system of air-fluidized beads on approach to jamming. In particular we define two overlap order parameters, which quantify the correlation between particle configurations at different times, based on a Voronoi construction and the persistence in the resulting cells and nearest neighbors. Temporal fluctuations in the decay of the persistent area and bond order parameters define two alternative dynamic four-point susceptibilities, XA(t) and XB(t), well-suited for characterizing spatially-heterogeneous dynamics. These are analogous to the standard four-point dynamic susceptibility X4(l,t), but where the space-dependence is fixed uniquely by topology rather than by discretionary choice of cutoff function. While these three susceptibilities yield characteristic time scales that are somewhat different, they give domain sizes for the dynamical heterogeneities that are in good agreement and that diverge on approach to jamming.

Affiliated with

Also associated with

No associations

Rating

Topological persistence and dynamical heterogeneities near jamming does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological persistence and dynamical heterogeneities near jamming, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological persistence and dynamical heterogeneities near jamming will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272263