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We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

Dense monolayers of living cells display intriguing relaxation dynamics, reminiscent of soft and glassy materials close to the jamming transition, and migrate collectively when space is available, as in wound healing or in cancer invasion.…

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

The design of amorphous entangled systems, specifically from soft and active materials, has the potential to open exciting new classes of active, shape-shifting, and task-capable 'smart' materials. However, the global emergent mechanics…

Soft Condensed Matter · Physics 2022-07-11 William Savoie , Harry Tuazon , M. Saad Bhamla , Daniel I. Goldman

Epithelial cell clusters often move collectively on a substrate. Mechanical signals play a major role in organizing this behavior. There are a number of experimental observations in these systems which await a comprehensive explanation.…

Biological Physics · Physics 2021-01-22 Youyuan Deng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

Collagen fibrils, cable-like assemblies of long biological molecules, are dominant components of connective tissues. Their determinant morphological and functional roles motivated a large number of studies concerning their formation and…

Soft Condensed Matter · Physics 2011-04-04 Jean Charvolin , Jean-François Sadoc

In recent years, nanomechanics has evolved into a mature field, with wide-ranging impact from sensing applications to fundamental physics, and it has now reached a stage which enables the fabrication and study of ever more elaborate…

Applied Physics · Physics 2022-06-01 Juliane Doster , Tirth Shah , Thomas Fösel , Florian Marquardt , Eva Weig

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

While the collective dynamics of spherical active Brownian particles is relatively well understood by now, the much more complex dynamics of nonspherical active particles still raises interesting open questions. Previous work has shown that…

Soft Condensed Matter · Physics 2023-07-31 Stephan Bröker , Michael te Vrugt , Raphael Wittkowski

Point-like motile topological defects control the universal dynamics of diverse two-dimensional active nematics ranging from shaken granular rods to cellular monolayers. A comparable understanding in higher dimensions has yet to emerge. We…

Active particle systems are a class of non-equilibrium systems composed of self-propelled Brownian particles; through interactions between particles within the system, a variety of intriguing collective behaviors can emerge. Based on…

Soft Condensed Matter · Physics 2025-09-25 Sihang Guo , Guangyu Yang , Guoqing Meng , Yingying Wang , Junxing Pan , Jinjun Zhang

The ability of many living systems to actively self-propel underlies critical biomedical, environmental, and industrial processes. While such active transport is well-studied in uniform settings, environmental complexities such as geometric…

Biological Physics · Physics 2021-08-23 Alejandro Martínez-Calvo , Carolina Trenado-Yuste , Sujit S. Datta

Elastic active matter or active solid consists of self-propelled units embedded in an elastic matrix. Active solid resists deformation; the shape-preserving property and the intrinsic non-equilibrium nature make active solids a superior…

Soft Condensed Matter · Physics 2023-02-01 Haoran Xu , Yulu Huang , Rui Zhang , Yilin Wu

Transitions between solid-like and fluid-like states in living tissues have been found in steps of embryonic development and in stages of disease progression. Our current understanding of these transitions has been guided by experimental…

Soft Condensed Matter · Physics 2024-11-20 Steven J. Chisolm , Emily Guo , Vignesh Subramaniam , Kyle D. Schulze , Thomas E. Angelini

The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as open systems. This representation of kinetic evolution has…

Mathematical Physics · Physics 2025-03-18 V. I. Gerasimenko

Models of active nematics in biological systems normally require complexity arising from the hydrodynamics involved at the microscopic level as well as the viscoelastic nature of the system. Here we show that a minimal, space-independent,…

Soft Condensed Matter · Physics 2022-06-27 Emmanuel L. C. VI M. Plan , Huong Le Thi , Julia M. Yeomans , Amin Doostmohammadi

With the help of molecular dynamics simulations we study an ensemble of active dumbbells in purely repulsive interaction. We derive the phase diagram in the density-activity plane and we characterise the various phases with liquid, hexatic…

Statistical Mechanics · Physics 2018-12-21 Isabella Petrelli , Pasquale Digregorio , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma

Collective behavior is studied in globally coupled maps. Several coherent motions exist, even in fully desynchronized state. To characterize the collective behavior, we introduce scaling transformation of parameter, and detect the…

chao-dyn · Physics 2009-10-31 Tatsuo Shibata , Kunihiko Kaneko

Active matter systems provide fascinating examples of pattern formation and collective motility without counterparts in equilibrium systems. Here, we employ Brownian dynamics simulations to study the collective motion and self-organization…

Soft Condensed Matter · Physics 2021-12-20 Leila Abbaspour , Ali Malek , Stefan Karpitschka , Stefan Klumpp

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez