The jamming scenario - an introduction and outlook

By Andrea J. Liu, Sidney R. Nagel, W. Saarloos, Matthieu Wyart. 2010

92 citations recorded by the source corpus.

The jamming scenario of disordered media, formulated about 10 years ago, has in recent years been advanced by analyzing model systems of granular media. This has led to various new concepts that are increasingly being explored in in a variety of systems. This chapter contains an introductory review of these recent developments and provides an outlook on their applicability to different physical systems and on future directions. The first part of the paper is devoted to an overview of the findings for model systems of frictionless spheres, focussing on the excess of low-frequency modes as the jamming point is approached. Particular attention is paid to a discussion of the cross-over frequency and length scales that govern this approach. We then discuss the effects of particle asphericity and static friction, the applicability to bubble models for wet foams in which the friction is dynamic, the dynamical arrest in colloids, and the implications for molecular glasses.

Subfields: Computational Mechanics, Materials Chemistry, Evaluation & Benchmarks

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Materials Chemistry

In Evaluation & Benchmarks

Citations in the corpus

Scaling description of generalization with number of parameters in deep learning (2019, methodology): “When optimizing neural networks using the hinge loss, there is a sharp phase transition (similar to the jamming transition that occurs in granular materials [21]) at some N∗(P ) such that for N ≥ N∗ the dynamic process reaches global minima of the loss [18, 40].”
A jamming transition from under- to over-parametrization affects generalization in deep learning (2018, methodology): “…very general, is of easier understanding when we consider particles that interact only within a ﬁnite range: upon increasing their density, such systems undergo a critical jamming transition [19, 20] when there is no longer space to accommodate all the particles without them touching one another.”
Universality of jamming of nonspherical particles (2018, unknown): “VN ({x}, {R}) =UN ({x}, {R}) +μN ({R}), [1]”
A jamming transition from under- to over-parametrization affects loss landscape and generalization (2018, methodology): “In the last decade physicists have unveiled an analogy between the physical phenomenon of jamming [22], which characterizes the onset of rigidity in disordered packings of particles, and phase transitions taking place in certain classes of computational optimization and learning problems [26, 45, 15”
Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions (2016, background): “he glass reaches its densest (or close) packing point. This point has the same properties of the jamming transition of granular materials (87, 88, 89, 15). Jamming is a mechanical rigidity transition (90, 91). It traditionally describes the emergence of solidity in athermal systems, and has been ext”
Architecture and coevolution of allosteric materials (2016, background): “As is the case for many aspects of the microscopic elasticity of amorphous materials [14], we expect our results to hold independently of the spatial dimension.”
Fractal free energy landscapes in structural glasses (2014, background): “This threshold level [21] is also the one at which the basins lose their stability and become marginal.”
Universal spectrum of normal modes in low-temperature glasses (2015, background): “First, it has been suggested that the boson peak is due to the vicinity to the jamming transition where glasses are isostatic [12, 13].”
Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems (2017, background): “Yet, one can restrict to the study of disordered conﬁgurations and in that case the SAT-UNSAT transition (also called “jamming transition” or “random close packing” in this case) has robustly universal critical properties [ 6,27 ] .”