Colloidal matter: Packing, geometry, and entropy

VN Manoharan - Science, 2015 - science.org
BACKGROUND Colloids consist of solid or liquid particles, each about a few hundred
nanometers in size, dispersed in a fluid and kept suspended by thermal fluctuations …

Edwards statistical mechanics for jammed granular matter

A Baule, F Morone, HJ Herrmann, HA Makse - Reviews of modern physics, 2018 - APS
In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials
using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium …

Pore configuration landscape of granular crystallization

M Saadatfar, H Takeuchi, V Robins, N Francois… - Nature …, 2017 - nature.com
Uncovering grain-scale mechanisms that underlie the disorder–order transition in
assemblies of dissipative, athermal particles is a fundamental problem with technological …

Tree-sliced variants of Wasserstein distances

T Le, M Yamada, K Fukumizu… - Advances in neural …, 2019 - proceedings.neurips.cc
Optimal transport (\OT) theory defines a powerful set of tools to compare probability
distributions.\OT~ suffers however from a few drawbacks, computational and statistical …

Robophysical study of jumping dynamics on granular media

J Aguilar, DI Goldman - Nature Physics, 2016 - nature.com
Characterizing forces on deformable objects intruding into sand and soil requires
understanding the solid-and fluid-like responses of such substrates and their effect on the …

Persistence fisher kernel: A riemannian manifold kernel for persistence diagrams

T Le, M Yamada - Advances in neural information …, 2018 - proceedings.neurips.cc
Algebraic topology methods have recently played an important role for statistical analysis
with complicated geometric structured data such as shapes, linked twist maps, and material …

Kernel method for persistence diagrams via kernel embedding and weight factor

G Kusano, K Fukumizu, Y Hiraoka - Journal of Machine Learning Research, 2018 - jmlr.org
Community detection is the process of grouping strongly connected nodes in a network.
Many community detection methods for un-weighted networks have a theoretical basis in a …

Analyzing X-ray tomographies of granular packings

S Weis, M Schröter - Review of Scientific Instruments, 2017 - pubs.aip.org
Starting from three-dimensional volume data of a granular packing, as, eg, obtained by X-ray
Computed Tomography, we discuss methods to first detect the individual particles in the …

Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

V Robins, K Turner - Physica D: Nonlinear Phenomena, 2016 - Elsevier
Persistent homology, while ostensibly measuring changes in topology, captures multiscale
geometrical information. It is a natural tool for the analysis of point patterns. In this paper we …

Nucleation in sheared granular matter

F Rietz, C Radin, HL Swinney, M Schröter - Physical review letters, 2018 - APS
We present an experiment on crystallization of packings of macroscopic granular spheres.
This system is often considered to be a model for thermally driven atomic or colloidal …