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A model is proposed and studied describing an infinite population of point migrants arriving in and departing from $X\subseteq \mathbf{R}^d$, $d\geq 1$. Both these acts occur at random with state-dependent rates. That is, depending on their…

动力系统 · 数学 2020-03-23 Yuri Kozitsky

By systematically varying the mobility of self-propelled particles in a two-dimensional (2D) lattice, we experimentally study the influence of particle mobility on system's collective motion. Our system is intrinsically non-equilibrium due…

软凝聚态物质 · 物理学 2016-02-19 Hongchuan Shen , Peng Tan , Lei Xu

The investigation of collective behaviour in dense assemblies of self-propelled active particles has been motivated by a wide range of biological phenomena. Of particular interest are dynamical transitions of cellular and sub-cellular…

软凝聚态物质 · 物理学 2023-12-05 Yagyik Goswami , G. V. Shivashankar , Srikanth Sastry

Many natural and industrial processes rely on constrained transport, such as proteins moving through cells, particles confined in nanocomposite materials or gels, individuals in highly dense collec- tives and vehicular traffic conditions.…

We propose a stationary system that might be regarded as a migration model of some population abandoning their original place of abode and becoming part of another population, once they reach the interface boundary. To do so, we show a…

偏微分方程分析 · 数学 2024-01-26 Pablo Alvarez-Caudevilla , Cristina Brändle

Inspired by motile cells in tissue formation, we find that active systems of self-aligning adhesive particles undergo ballistic aggregation through a flocking transition. This kinetic regime emerges when the cluster persistence length grows…

The study of emergent behavior of swarms is of great interest for applied sciences. One of the most fundamental questions for self-organizing swarms is whether the swarms disperse or remain in a spatially cohesive configuration. In the…

动力系统 · 数学 2022-05-31 Constantine Medynets , Irina Popovici

Collective and directed motility or swarming is an emergent phenomenon displayed by many self-organized assemblies of active biological matter such as clusters of embryonic cells during tissue development, cancerous cells during tumor…

生物物理 · 物理学 2016-04-05 Katherine Copenhagen , Ajay Gopinathan

We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. We capture the competition between self-propulsion and crowding…

统计力学 · 物理学 2014-06-11 Ludovic Berthier

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

定量方法 · 定量生物学 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of additional spontaneous fragmentation events. We consider both…

We formulate a general, high-dimensional kinetic theory describing the internal state (such as gene expression or protein levels) of cells in a stochastically evolving population. The resolution of our kinetic theory also allows one to…

种群与进化 · 定量生物学 2026-05-12 Mingtao Xia , Tom Chou

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

量子物理 · 物理学 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

Natural flocks (aligned) and swarms (non-aligned) both exhibit features of near-criticality, challenging their treatment as two ends of the same phase transition. We present a model for the aggregation of active individuals, in which their…

适应与自组织系统 · 物理学 2025-11-26 Joao Lizárraga , Marcus de Aguiar

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

混沌动力学 · 物理学 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

We address the problem of the microscopic reorganization of a granular medium under a compaction process in the framework of Tetris-like models. We point out the existence of regions of spatial organization which we call domains, and study…

统计力学 · 物理学 2009-11-07 A. Baldassarri , S. Krishnamurthy , V. Loreto , S. Roux

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

物理与社会 · 物理学 2016-06-14 Yanguang Chen , Feng Xu

The presence of temporal correlations in random movement trajectories is a widespread phenomenon across biological, chemical and physical systems. The ubiquity of persistent and anti-persistent motion in many natural and synthetic systems…

统计力学 · 物理学 2024-07-03 Daniel Marris , Luca Giuggioli

We investigate the steady-state organisation of active particles residing on an interface. Particle activity induces interface deformations, while the local shape of the interface guides particle movement. We consider multiple species of…

软凝聚态物质 · 物理学 2025-05-28 Love Grover , Rajeev Kapri , Abhishek Chaudhuri

Cells and microorganisms employ dynamic shape changes to enable steering and avoidance for efficient spatial exploration and collective organization. In contrast, active colloids, their synthetic counterparts, currently lack similar…

软凝聚态物质 · 物理学 2025-01-03 Stefania Ketzetzi , Lorenzo Caprini , Vivien Willems , Laura Alvarez , Hartmut Löwen , Lucio Isa