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This paper looks at the early theory of phase transitions. It considers a group of related concepts derived from condensed matter and statistical physics. The key technical ideas here go under the names of "singularity", "order parameter",…

History and Philosophy of Physics · Physics 2009-09-14 Leo P. Kadanoff

We generalize the phase transition model studied in [R. Colombo. Hyperbolic phase transition in traffic flow.\ SIAM J.\ Appl.\ Math., 63(2):708-721, 2002], that describes the evolution of vehicular traffic along a one-lane road. Two…

Analysis of PDEs · Mathematics 2018-02-14 Edda Dal Santo , Massimiliano D. Rosini , Nikodem Dymski , Mohamed Benyahia

We demonstrate the existence of high--order jamming crossovers in systems of particles with repulsive contact interactions, which originate from the collapse of successive coordination shells. At zero temperature, these crossovers induce an…

Soft Condensed Matter · Physics 2014-01-21 Massimo Pica Ciamarra , Peter Sollich

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that could explain in a simple way such observed self-organizing phenomena as the sequence of the phase transitions "free flow ->…

Soft Condensed Matter · Physics 2007-05-23 Ihor A. Lubashevsky , Reinhard Mahnke

Systems showing resonant superfluidity, driven by an exchange coupling of strength $g$ between uncorrelated pairs of itinerant fermions and tightly bound ones, undergo a first order phase transition as $g$ increases beyond some critical…

Superconductivity · Physics 2009-11-13 T. Stauber , J. Ranninger

The basic properties of traffic flow are analyzed using a simple deterministic one dimensional "car following model" with continuous variables based on a model introduced by Nagel and Herrmann [Physica A 199 254--269 (1993)] including a few…

Statistical Mechanics · Physics 2007-05-23 G. Sauermann , H. J. Herrmann

We explain the structural origin of the jamming transition in jammed matter as the sudden appearance of k-cores at precise coordination numbers which are related not to the isostatic point, but to the sudden emergence of the 3- and 4-cores…

Soft Condensed Matter · Physics 2018-11-14 Flaviano Morone , Kate Burleson-Lesser , H. A. Vinutha , Srikanth Sastry , Hernan A. Makse

Jamming is a ubiquitous phenomenon that appears in many soft matter systems, including granular materials, foams, colloidal suspensions, emulsions, polymers, and cells -- when jamming occurs, the system undergoes a transition from flow-like…

Soft Condensed Matter · Physics 2023-12-12 Deng Pan , Yinqiao Wang , Hajime Yoshino , Jie Zhang , Yuliang Jin

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

Multiagent Systems · Computer Science 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

Dense particulate suspensions can not only increase their viscosity and shear thicken under external forcing, but also jam into a solid-like state that is fully reversible when the force is removed. An impact on the surface of a dense…

Soft Condensed Matter · Physics 2019-05-10 Endao Han , Liang Zhao , Nigel Van Ha , S. Tonia Hsieh , Daniel B. Szyld , Heinrich M. Jaeger

We study an asymmetric simple exclusion process in a strip in the presence of a solid impenetrable barrier. We focus on the effect of the barrier on the residence time of the particles, namely, the typical time needed by the particles to…

Statistical Mechanics · Physics 2016-10-19 Emilio N. M. Cirillo , Adrian Muntean , Oleg Krehel , Rutger van Santen

The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena.…

Physics and Society · Physics 2015-04-10 Tal Cohen , Rohan Abeyaratne

Surface flows are excited by steadily adding spherical glass beads to the top of a heap. To simultaneously characterize the fast single-grain dynamics and the much slower collective intermittency of the flow, we extend photon-correlation…

Soft Condensed Matter · Physics 2009-10-31 P. -A. Lemieux , D. J. Durian

In this paper we study a two dimensional crowd model where pedestrian velocity consists of two elements: a non--local interaction term, modeling the effect of other walkers on each individual, and a control term. This latter term can be…

Analysis of PDEs · Mathematics 2014-03-25 Fabio S. Priuli

In this endeavor, the transients persisting in a vacuum ejector system (put reference of my old paper) is studied by numerically simulating the flow field, and experimentally validating the simulated results. An inertial effect was…

Fluid Dynamics · Physics 2012-04-17 Ankit Mittal , Rajesh G. , H. D. Kim , V. Lijo

Within the formalism of martix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential update. This model describes a two-way traffic flow with a dynamical impurity and shows a…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , H. Woo Lee

The non-equilibrium transition from a fluid-like state to a disordered solid-like state, known as the jamming transition, occurs in a wide variety of physical systems, such as colloidal suspensions and molecular fluids, when the temperature…

Soft Condensed Matter · Physics 2012-02-10 M. Pica Ciamarra , R. Pastore , M. Nicodemi , A. Coniglio

We numerically study the flow of dense granular materials between parallel plates driven by an external force. The granular materials form a jammed solid-like state when the external force is below a critical force, while they flow like…

Soft Condensed Matter · Physics 2024-03-04 Michio Otsuki , Kenta Hayashi , Kiwamu Yoshii

A generic network flow model of transport (of relevance to information transport as well as physical transport) is studied under two different control protocols. The first involves information concerning the global state of the network, the…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Giovanni Petri , Henrik Jeldtoft Jensen , John W. Polak

First-passage time problems are ubiquitous across many fields of study including transport processes in semiconductors and biological synapses, evolutionary game theory and percolation. Despite their prominence, first-passage time…

Neurons and Cognition · Quantitative Biology 2017-02-01 Wilhelm Braun , Rüdiger Thul