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Following the recent proposal made by Bouttier et al [Phys. Rev. E 76, 041140 (2007)], we study analytically the mobility properties of a single vacancy in the close-packed dimer model on the square lattice. Using the spanning web…

Statistical Mechanics · Physics 2008-11-26 V. S. Poghosyan , V. B. Priezzhev , P. Ruelle

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta , Shin-ichi Sasa

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

Numerical Analysis · Mathematics 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

We develop the hydrodynamic theory of dry, polar ordered, active matter (``flocking") with autochemotaxis; i.e., self-propelled entities moving in the same direction, each emitting a substance which attracts the others (e.g., ants). We find…

Soft Condensed Matter · Physics 2024-01-22 Maxx Miller , John Toner

In living and engineered systems of active particles, self-propulsion induces an unjamming transition from a solid to a fluid phase and phase separation between a gas and a liquid-like phase. We demonstrate an interplay between these two…

Soft Condensed Matter · Physics 2022-07-20 Jing Yang , Ran Ni , Massimo Pica Ciamarra

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Growth in confined spaces can drive cellular populations through a jamming transition from a fluid-like state to a solid-like state. Experiments have found that jammed budding yeast populations can build up extreme compressive pressures…

Soft Condensed Matter · Physics 2019-05-29 Pawel Gniewek , Carl F Schreck , Oskar Hallatschek

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

The collective behavior of active semiflexible filaments is studied with a model of tangentially driven self-propelled worm-like chains. The combination of excluded-volume interactions and self-propulsion leads to several distinct dynamic…

Biological Physics · Physics 2024-06-03 Ozer Duman , Rolf E. Isele-Holder , Jens Elgeti , Gerhard Gompper

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

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

The conformational and dynamical properties of active ring polymers are studied by numerical simulations. The two-dimensionally confined polymer is modeled as a closed bead-spring chain, driven by tangential forces, put in contact with a…

Soft Condensed Matter · Physics 2024-06-03 A. Lamura

Dense suspensions of self-propelled rod-like particles exhibit a fascinating variety of non-equilibrium phenomena. By means of computer simulations of a minimal model for rigid self-propelled colloidal rods with variable shape we explore…

Soft Condensed Matter · Physics 2015-06-04 H. H. Wensink , H. Löwen

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…

Soft Condensed Matter · Physics 2011-01-28 Andrea J. Liu , Sidney R. Nagel , Wim van Saarloos , Matthieu Wyart

While run-and-tumble particles are a foundational model for self-propelled particles as bacteria or Janus particles, the analytical derivation of their steady state from the microscopic details is still an open problem. By directly modeling…

Statistical Mechanics · Physics 2025-03-07 Leo Hahn , Arnaud Guillin , Manon Michel

Jamming, or dynamical arrest, is a transition at which many particles stop moving in a collective manner. In nature it is brought about by, for example, increasing the packing density, changing the interactions between particles, or…

Statistical Mechanics · Physics 2009-11-11 Paolo De Gregorio , Aonghus Lawlor , Phil Bradley , Kenneth A. Dawson

A dilute suspension of active Brownian particles in a dense compressible viscoelastic fluid, forms a natural setting to study the emergence of nonreciprocity during a dynamical phase transition. At these densities, the transport of active…

Soft Condensed Matter · Physics 2021-10-14 Jyoti Prasad Banerjee , Rituparno Mandal , Deb Sankar Banerjee , Shashi Thutupalli , Madan Rao

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

Understanding collective self-organization in active matter, such as bird flocks and fish schools, remains a grand challenge in physics. Interactions that induce alignment are essential for flocking; however, alignment alone is generally…

Soft Condensed Matter · Physics 2025-07-01 Julian Giraldo-Barreto , Viktor Holubec

A theory for kinetic arrest in isotropic systems of repulsive, radially-interacting particles is presented that predicts exponents for the scaling of various macroscopic quantities near the rigidity transition that are in agreement with…

Materials Science · Physics 2009-11-11 D. A. Head