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With the increasing size and frequency of mass events, the study of crowd disasters and the simulation of pedestrian flows have become important research areas. Yet, even successful modeling approaches such as those inspired by Newtonian…

物理与社会 · 物理学 2015-05-28 Mehdi Moussaid , Dirk Helbing , Guy Theraulaz

Identifying factors that affect human decision making and quantifying their influence remain essential and challenging tasks for the design and implementation of social and technological communication systems. We report results of a…

物理与社会 · 物理学 2016-12-02 Chantal Nguyen , Fangqiu Han , Kimberly J. Schlesinger , Izzeddin Gür , Jean M. Carlson

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

物理与社会 · 物理学 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

其他定量生物学 · 定量生物学 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental…

亚细胞过程 · 定量生物学 2017-11-01 Yoram Zarai , Michael Margaliot , Anatoly B. Kolomeisky

A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

统计力学 · 物理学 2007-05-23 Dirk Helbing

Advection of entities induced by gradients in attractant concentration fields is observed via diffusiophoresis in colloids and via chemotaxis in microorganisms. Mathematically, both diffusiophoresis and chemotaxis follow similar…

种群与进化 · 定量生物学 2024-10-07 Benjamin M. Alessio , Ankur Gupta

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

化学物理 · 物理学 2012-12-20 Maria Bruna , S. Jonathan Chapman

This work presents a methodology for modeling and predicting human behavior in settings with N humans interacting in highly multimodal scenarios (i.e. where there are many possible highly-distinct futures). A motivating example includes…

机器人学 · 计算机科学 2018-07-27 Boris Ivanovic , Edward Schmerling , Karen Leung , Marco Pavone

We present a new method to describe the kinetics of driven lattice gases with particle-particle interactions beyond hard-core exclusions. The method is based on the time-dependent density functional theory for lattice systems and allows one…

统计力学 · 物理学 2015-05-20 Marcel Dierl , Philipp Maass , Mario Einax

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

偏微分方程分析 · 数学 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

Populations interact non-linearly and are influenced by environmental fluctuations. In order to have realistic mathematical models, one needs to take into account that the environmental fluctuations are inherently stochastic. Often,…

概率论 · 数学 2025-07-29 Alexandru Hening , Siddharth Sabharwal

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

其他凝聚态物理 · 物理学 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

Many collective systems exist in nature far from equilibrium, ranging from cellular sheets up to flocks of birds. These systems reflect a form of active matter, whereby individual material components have internal energy. Under specific…

软凝聚态物质 · 物理学 2023-04-17 Namid R. Stillman , Silke Henkes , Roberto Mayor , Gilles Louppe

We propose and analyze extended floor field cellular automaton models for evacuation dynamics of inhomogeneous pedestrian pairs which are coupled by asymmetric group interactions. Such pairs consist of a leader, who mainly determines the…

物理与社会 · 物理学 2016-08-22 Frank Müller , Andreas Schadschneider

Modeling and simulation of disease spreading in pedestrian crowds has been recently become a topic of increasing relevance. In this paper, we consider the influence of the crowd motion in a complex dynamical environment on the course of…

动力系统 · 数学 2021-01-06 Parveena Samim Abdul Salam , Wolfgang Bock , Axel Klar , Sudarshan Tiwari

Classical swarm models, exemplified by the Cucker--Smale framework, provide foundational insights into collective alignment but exhibit fundamental limitations in capturing the adaptive, heterogeneous behaviours intrinsic to living systems.…

适应与自组织系统 · 物理学 2025-09-08 Rene Fabregas , Jie Liao , Nisrine Outada

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

机器学习 · 统计学 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

Exploiting the efficiency and stability of Position-Based Dynamics (PBD), we introduce a novel crowd simulation method that runs at interactive rates for hundreds of thousands of agents. Our method enables the detailed modeling of per-agent…

图形学 · 计算机科学 2018-02-21 Tomer Weiss , Alan Litteneker , Chenfanfu Jiang , Demetri Terzopoulos

Elucidating emergent regularities in intriguing crowd dynamics is a fundamental scientific problem arising in multiple fields. In this work, based on the social force model, we simulate the typical scenario of collective escape towards a…

软凝聚态物质 · 物理学 2021-05-11 Chen Cheng , Jinglai Li , Zhenwei Yao