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Articles by Eric I. Corwin
First-passage time for many-particle diffusion in space-time random environments
The first-passage time for a single diffusing particle has been studied extensively, but the first-passage time of a system of many diffusing particles, as is often the case in physical systems, has received little attention until recently. We consider two models for many-particle diffusion—one treats each particle as independent simple random walkers while the other treats them as coupled to a common space-time random forcing field that biases particles nearby in space and time in similar ways.
Local stability of spheres via the convex hull and the radical Voronoi diagram
Jamming is an emergent phenomenon wherein the local stability of individual particles percolates to form a globally rigid structure. However, the onset of rigidity does not imply that every particle becomes rigid, and indeed some remain locally unstable. These particles, if they become unmoored from their neighbors, are called rattlers, and their identification is critical to understanding the rigid backbone of a packing, as these particles cannot bear stress.
Anomalous fluctuations of extremes in many-particle diffusion
Abstract In many-particle diffusions, particles that move the furthest and fastest can play an outsized role in physical phenomena. A theoretical understanding of the behavior of such extreme particles is nascent. A classical model, in the spirit of Einstein's treatment of single-particle diffusion, has each particle taking independent homogeneous random walks. This, however, neglects the fact that all particles diffuse in a common and often inhomogeneous environment that can affect their motion.
Emergence of zero modes in disordered solids under periodic tiling
Abstract In computational models of particle packings with periodic boundary conditions, it is assumed that the packing is attached to exact copies of itself in all possible directions. The periodicity of the boundary then requires that all of the particles' images move together. An infinitely repeated structure, on the other hand, does not necessarily have this constraint.
Hyperuniform jammed sphere packings have anomalous material properties
Abstract A spatial distribution is hyperuniform if it has local density fluctuations that vanish in the limit of long length scales. Hyperuniformity is a well known property of both crystals and quasicrystals. Of recent interest, however, is disordered hyperuniformity: the presence of hyperuniform scaling without long-range configurational order.
Long-Range Anomalous Decay of the Correlation in Jammed Packings
We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role in the configuration of jammed packings, we analyze the propagation through the system of the weak forces and of the variation of the coordination number with respect to the isostaticity condition, ΔZ.
Physical Review Letters
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Experimental observation of the marginal glass phase in a colloidal glass
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Universal Microstructure and Mechanical Stability of Jammed Packings
Figure 3 Scaling of the cumulative structure function Z(r) and the cumulative force distribution G(f) in d=3 upon approaching jamming from above (a) by SS energy minimization (where e∝|Δφ|2→0 and ε=ed/2 ), and from below (b) by HS compression (where p∝|Δφ|−1→∞ ). (1a) For diminishing e , the height of the plateau (inset) converges to the isostatic value with ζ=0.53(3) . (2a) The small r<σ regime shows the “contact” scaling function Z+(x) , which agrees well with the G-RT prediction (red line).
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