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In this paper we consider three classes of interacting particle systems on $\mathbb Z$: independent random walks, the exclusion process, and the inclusion process. We allow particles to switch their jump rate (the rate identifies the type…

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

生物物理 · 物理学 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

The spread of infectious disease is strongly influenced by social dynamics. In addition to infection risk, individuals vaccination decisions depend on prevailing social behavior: high infection levels and widespread vaccination can increase…

种群与进化 · 定量生物学 2026-04-17 Xinxuan Wang , Youngmin Park , Bryce Morsky

A high fidelity model for the propagation of pathogens via aerosols in the presence of moving pedestrians is proposed. The key idea is the tight coupling of computational fluid dynamics and computational crowd dynamics in order to capture…

物理与社会 · 物理学 2020-09-09 Rainald Löhner , Harbir Antil

We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous-time simple random walk on $\mathbb{Z}^d$, with jump rate $D_A$. These particles are called $A$-particles and move…

概率论 · 数学 2007-05-23 Harry Kesten , Vladas Sidoravicius

In this work, the orientation adapter, a species of active particles that adapt their direction of motion from the other active particles, is introduced. The orientation adapters exist besides the usual Vicsek-like particles; both are…

软凝聚态物质 · 物理学 2023-02-28 Sagarika Adhikary , S. B. Santra

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

定量方法 · 定量生物学 2008-12-15 Joel C. Miller

Panic may spread over a crowd in a similar fashion as contagious diseases do in social groups. People no exposed to a panic source may express fear, alerting others of imminent danger. This social mechanism initiates an evacuation process,…

物理与社会 · 物理学 2018-05-18 F. E. Cornes , G. A. Frank , C. O. Dorso

Three basic factors govern the individual behaviour of a particle: the inertia from its previous displacement; the attraction to its own best experience; and the attraction to a given neighbour's best experience. The importance awarded to…

物理与社会 · 物理学 2021-01-28 Johann Sienz , Mauro S. Innocente

Collective transport through channels shows surprising properties under one-dimensional confinement: particles in a single file exhibit sub-diffusive behavior, while liquid confinement causes distance-independent correlations between the…

软凝聚态物质 · 物理学 2019-06-05 Karolis Misiunas , Ulrich F. Keyser

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

统计力学 · 物理学 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

In a collection of particles performing independent random walks on $\mathbb Z^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and…

概率论 · 数学 2022-09-14 Duncan Dauvergne , Allan Sly

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

软凝聚态物质 · 物理学 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

The organization of higher-order interactions plays a central role in shaping collective dynamics, yet a general structural principle governing contagion on hypergraphs remains lacking. Here we introduce a nesting coefficient that…

物理与社会 · 物理学 2026-04-28 Hugo P. Maia , Guilherme Ferraz de Arruda , Silvio C. Ferreira , Yamir Moreno

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

概率论 · 数学 2012-02-23 Emilie Coupechoux , Marc Lelarge

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

种群与进化 · 定量生物学 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized…

物理与社会 · 物理学 2025-07-09 Francisco J. Perez-Reche , Sergei N. Taraskin

We present experimental confirmation of dynamic facilitation in monodisperse and bidisperse colloidal suspensions near the glass transition volume fraction. Correlations in particle dynamics are seen to exist not only in space (clusters and…

软凝聚态物质 · 物理学 2014-06-24 Scott V. Franklin , Eric R. Weeks

We study viral transmission in crowds via the short-ranged airborne pathway using a purely model-based approach. Our goal is two-pronged. Firstly, we illustrate with a concrete and pedagogical case study how to estimate the risks of new…

多智能体系统 · 计算机科学 2023-12-05 Alexandre Nicolas , Simon Mendez

We investigate a class of reaction processes in which particles move ballistically and react upon colliding. We show that correlations between velocities of colliding particles play a crucial role in the long time behavior. In the…

统计力学 · 物理学 2009-11-10 E. Trizac , P. L. Krapivsky