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Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes,…

Statistical Mechanics · Physics 2023-11-17 Andreas Leich , Ronald Nippold , Andreas Schadschneider , Peter Wagner

By minimizing the enthalpy of packings of frictionless particles, we obtain jammed solids at desired pressures and hence investigate the jamming transition with and without shear. Typical scaling relations of the jamming transition are…

Soft Condensed Matter · Physics 2018-08-01 Wen Zheng , Shiyun Zhang , Ning Xu

Interest in the dynamical arrest leading to a fluid --> solid transition in thermal and athermal systems has led to questions about the nature of these transitions. These jamming transitions may be dependent on the influence of extended…

Soft Condensed Matter · Physics 2007-05-23 Allison Ferguson , Bulbul Chakraborty

We examine the jamming transition in a two-dimensional granular polymer system using compressional simulations. The jamming density \phi_c decreases with increasing length of the granular chain due to the formation of loop structures, in…

Soft Condensed Matter · Physics 2015-05-14 L. M. Lopatina , C. J. Olson Reichhardt , C. Reichhardt

We present a jamming diagram for 2D bidisperse granular systems, capturing two distinct jamming transitions. The first occurs as large particles form a jammed structure, while the second, emerging at a critical small-particle concentration,…

Soft Condensed Matter · Physics 2025-05-20 Juan C. Petit , Matthias Sperl

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated…

Soft Condensed Matter · Physics 2019-04-03 Danilo B. Liarte , Xiaoming Mao , Olaf Stenull , T. C. Lubensky

In this work we provide an overview of jamming transitions in two dimensional systems focusing on the limit of frictionless particle interactions in the absence of thermal fluctuations. We first discuss jamming in systems with short range…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can {\em jam} into a rigid, disordered state where they withstand finite shear stresses before yielding. The jamming transition has been studied…

Soft Condensed Matter · Physics 2016-07-06 Gijs Katgert , Brian P. Tighe , Martin van Hecke

We study a system of interacting self-propelled particles whose walking velocity depends on the stage of the locomotion cycle. The model introduces a phase equation in the optimal velocity model for vehicular traffic. We find that the…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Ryosuke Nishi , Daichi Yanagisawa , Katsuhiro Nishinari

Scramble intersections stand as compelling examples of complex systems, shedding light on the pressing challenge of urban mobility. In this paper, we introduce a model aimed at unraveling the statistical intricacies of pedestrian crossing…

Physics and Society · Physics 2023-10-04 Eduardo V. Stock , Roberto da Silva

This paper discusses transport barrier formation and layering as consequences of jam formation. Extensive use is made of analogies with the theory of traffic flow in one dimension. The relation of flux jamming to motility induced phase…

Plasma Physics · Physics 2025-10-17 P. H. Diamond , Y. Kosuga , P. L. Guillon , Ö. D. Gürcan

In this paper we present our detailed investigations on the nature of the phase transition in the scalar noise model (SNM) of collective motion. Our results confirm the original findings of Vicsek et al. [Phys. Rev. Lett. 75 (1995) 1226]…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Mate Nagy , Istvan Daruka , Tamas Vicsek

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

We show that only considering the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation our models obtain Gaussian cluster distributions and compact clusters as…

Statistical Mechanics · Physics 2010-07-15 N. A. M. Araújo , H. J. Herrmann

We consider the transition of the Nagel-Schreckenberg traffic flow model from the free flow regime to the jammed regime. We examine the inhomogeneous character of the system by introducing a new method of analysis which is based on the…

Statistical Mechanics · Physics 2009-10-30 S. Lubeck , M. Schreckenberg , K. D. Usadel

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

Physics and Society · Physics 2025-04-24 Piotr Nyczka , Pratik Mullick

Percolation plays an important role in fields and phenomena as diverse as the study of social networks, the dynamics of epidemics, the robustness of electricity grids, conduction in disordered media, and geometric properties in statistical…

Statistical Mechanics · Physics 2015-06-10 Mykola Maksymenko , Roderich Moessner , Kirill Shtengel

We carry out numerical simulations of soft, U-shaped, frictionless particles in $d=2$ dimensions in order to explore the effects of complex particle shape on the jamming transition. We consider both cases of uniform compression-driven and…

Soft Condensed Matter · Physics 2015-03-18 Theodore Marschall , Scott V. Franklin , S. Teitel

A spatially extended classical system with metastable states subject to weak spatiotemporal noise can exhibit a transition in its activation behavior when one or more external parameters are varied. Depending on the potential, the…

Statistical Mechanics · Physics 2008-07-09 J. Bürki , C. A. Stafford , D. L. Stein

We present numerical studies of first-order and continuous filling transitions, in wedges of arbitrary opening angle $\psi$, using a microscopic fundamental measure density functional model with short-ranged fluid-fluid forces and…

Statistical Mechanics · Physics 2015-06-11 Alexandr Malijevský , Andrew O. Parry
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