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We use a lattice gas cellular automata model in the presence of random dynamic scattering sites and quenched disorder in the two-phase immiscible model with the aim of producing an interface dynamics similar to that observed in Hele-Shaw…

Fluid Dynamics · Physics 2015-08-06 R. M. Azevedo , R. R. Montenegro-Filho , M. D. Coutinho-Filho

Understanding collective self-organization in active matter, such as bird flocks and fish schools, remains a grand challenge in physics. Interactions that induce alignment are essential for flocking; however, alignment alone is generally…

Soft Condensed Matter · Physics 2025-07-01 Julian Giraldo-Barreto , Viktor Holubec

Populations of mobile and communicating agents describe a vast array of technological and natural systems, ranging from sensor networks to animal groups. Here, we investigate how a group-level agreement may emerge in the continuously…

Physics and Society · Physics 2012-01-25 Andrea Baronchelli , Albert Diaz-Guilera

We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for $K$ groups instead of two groups. We then analyze this…

Physics and Society · Physics 2021-04-27 Abdulaziz Alsenafi , Alethea B. T. Barbaro

Collective motion is a fundamental phenomenon in biological swarms. As a framework for studying synchronization in motions, the Vicsek model is simple and efficient, assuming isotropic interactions with a complete field of view. Drawing…

Physics and Society · Physics 2025-12-23 Haoshuai Wang , Zhaoqi Dong , Lei Chen

Collective motion in active matter is usually modelled through instantaneous local alignment, where each agent updates its heading from the current configuration of its neighbours. Many biological and engineered agents, however, possess…

Physics and Society · Physics 2026-05-11 Jyotiranjan Beuria

The one-dimensional Fermi-Hubbard model is used as testbed for strong global parameter quenches. With the aid of iterated equations of motion in combination with a suitable scalar product for operators we describe the dynamics and the…

Strongly Correlated Electrons · Physics 2018-09-12 Philip Bleicker , Götz S. Uhrig

We construct the temporal network using the two-dimensional active particle systems which are described by the Vicsek model. The bursts of the interevent times for a specific pair of particles are investigated numerically. We find that for…

Statistical Mechanics · Physics 2022-10-18 Wei Zhong , Youjin Deng , Daxing Xiong

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states.…

Strongly Correlated Electrons · Physics 2020-08-18 Lennart Klebl , Dante M. Kennes , Carsten Honerkamp

Interacting particle systems are known for their ability to generate large-scale self-organized structures from simple local interaction rules between each agent and its neighbors. In addition to studying their emergent behavior, a main…

Analysis of PDEs · Mathematics 2024-10-21 Nathalie Ayi , Nastassia Pouradier Duteil , David Poyato

Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue…

Biological Physics · Physics 2019-10-08 Ricard Alert , Xavier Trepat

A mixed lattice vector space is a partially ordered vector space with two partial orderings and certain lattice-type properties. In this paper we first give some fundamental results in mixed lattice groups, and then we investigate the…

Functional Analysis · Mathematics 2023-12-27 Jani Jokela

From an enactive approach, some previous studies have demonstrated that social interaction plays a fundamental role in the dynamics of neural and behavioral complexity of embodied agents. In particular, it has been shown that agents with a…

Multiagent Systems · Computer Science 2020-11-04 Georgina Montserrat Reséndiz-Benhumea , Ekaterina Sangati , Tom Froese

Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interactions affect only the movement of the entities, and examples…

Statistical Mechanics · Physics 2022-09-20 Seeralan Sarvaharman , Luca Giuggioli

Spectrum of boson fields and two-point correlators are analyzed in a quantum bar system (a superlattice formed by two crossed interacting arrays of quantum wires), with short range interwire interaction. The standard bosonization procedure…

Strongly Correlated Electrons · Physics 2015-06-24 I. Kuzmenko , S. Gredeskul , K. Kikoin , Y. Avishai

The Vicsek model of self-propelled particles is known in three different phases: (i) a polar ordered homogeneous phase also called Toner-Tu phase, (iii) a phase of polar ordered regularly arranged high density bands (waves) with surrounding…

Soft Condensed Matter · Physics 2020-11-04 Rüdiger Kürsten , Thomas Ihle

The spatial structure of the cell is highly organized at all levels: from small complexes and assemblies, to local nano- and micro-clusters, to global, micrometer scales across and between cells. We suggest that this multiscale spatial cell…

Biomolecules · Quantitative Biology 2013-08-06 Ruth Nussinov

We unravel the correlated non-equilibrium dynamics of a mass balanced Bose-Fermi mixture in a one-dimensional optical lattice upon quenching an imposed harmonic trap from strong to weak confinement. Regarding the system's ground state, the…

Quantum Physics · Physics 2018-06-06 P. Siegl , S. I. Mistakidis , P. Schmelcher

We study spreading processes in two-dimensional systems of heterogeneous active agents that exhibit different individual active speeds. We obtain, combining kinetic and complex network theory, an analytical expression for the spreading…

Biological Physics · Physics 2025-12-10 Benjamín Marcolongo , Gustavo J. Sibona , Fernando Peruani

We investigate collective behavior in a $Q$-species Vicsek model with a nonreciprocal velocity alignment interaction. This system is characterized by a constant phase shift $\alpha$ in the inter-species velocity alignment rule. While the…

Statistical Mechanics · Physics 2025-12-23 Chul-Ung Woo , Heiko Rieger , Jae Dong Noh
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