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A number-conserving cellular automaton is a simplified model for a system of interacting particles. This paper contains two related constructions by which one can find all one-dimensional number-conserving cellular automata with one kind of…

元胞自动机与格子气 · 物理学 2023-06-22 Markus Redeker

Complex social behaviors lie at the heart of many of the challenges facing evolutionary biology, sociology, economics, and beyond. For evolutionary biologists in particular the question is often how such behaviors can arise \textit{de novo}…

种群与进化 · 定量生物学 2015-11-18 Alexander J. Stewart , Joshua B. Plotkin

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

统计力学 · 物理学 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two ways. First, existing links are deleted whenever a player…

物理与社会 · 物理学 2009-09-25 Attila Szolnoki , Matjaz Perc

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

物理与社会 · 物理学 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

To investigate the origin of cooperative behaviors, we developed an evolutionary model of sequential strategies and tested our model with computer simulations. The sequential strategies represented by stochastic machines were evaluated…

计算机科学与博弈论 · 计算机科学 2021-01-12 Jin Hong Kuan , Aadesh Salecha

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

统计力学 · 物理学 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

Understanding the organization of collective motion in biological systems is an ongoing challenge. In this Paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish,…

生物物理 · 物理学 2015-06-04 Shradha Mishra , Kolbjørn Tunstrøm , Iain D. Couzin , Cristián Huepe

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated…

统计力学 · 物理学 2015-05-14 Hidetsugu Sakaguchi

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

混沌动力学 · 物理学 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

Self-organization of heterogeneous particle swarms is rich in its dynamics but hard to design in a traditional top-down manner, especially when many types of kinetically distinct particles are involved. In this chapter, we discuss how we…

神经与进化计算 · 计算机科学 2017-05-29 Hiroki Sayama

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

生物物理 · 物理学 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusion coefficient. While the forces affecting the…

统计力学 · 物理学 2023-04-26 Deborah Schwarcz , Stanislav Burov

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

种群与进化 · 定量生物学 2023-10-02 Jeferson J. Arenzon , Luca Peliti

We investigate a driven diffusive lattice gas model with two oppositely moving species of particles. The model is motivated by bi-directional traffic of ants on a pre-existing trail. A third species, corresponding to pheromones used by the…

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

种群与进化 · 定量生物学 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

We study a driven system in which interaction between particles causes their directional, coupled movement. In that model system, two particles move alternatingly in time on two coupled chains. Without interaction, both particles diffuse…

计算物理 · 物理学 2023-08-10 Helena Drüeke , Dieter Bauer

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

统计力学 · 物理学 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

统计力学 · 物理学 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo