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We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 V. Vettchinkina , A. Kartsev , D. Karlsson , C. Verdozzi

We present a Brownian dynamics study of a 2d bath of active particles interacting among each other through usual steric interactions and, additionally, via non-reciprocal avoidant orientational interactions. We motivate them by the fact…

Soft Condensed Matter · Physics 2022-10-24 Milos Knezevic , Till Welker , Holger Stark

A simple self-driven lattice-gas model for collective biological motion is introduced. We find weakly first order phase transition from individual random walks to collective migration. A mean-field theory is presented to support the…

Statistical Mechanics · Physics 2009-10-31 Zoltan Csahok , Tamas Vicsek

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

Soft Condensed Matter · Physics 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the…

Mathematical Physics · Physics 2015-06-05 Pierre Degond , Jiale Hua

The motion of several self-propelled boats in a narrow channel displays spontaneous pattern formation and kinetic phase transitions. In contrast with previous studies on self-propelled particles, this model does not require stochastic…

Statistical Mechanics · Physics 2012-06-13 Eric Heisler , Nobuhiko J. Suematsu , Akinori Awazu , Hiraku Nishimori

We study a simple two-dimensional model for motion of an elastic filament subject to internally generated stresses and show that wave-like propagating shapes which can propel the filament can be induced by a self-organized mechanism via a…

Soft Condensed Matter · Physics 2019-08-17 S. Camalet , F. Julicher , J. Prost

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1d lattice with a rate which increases with the number of particles at interacting sites. We find that clusters of particles, which initially…

Statistical Mechanics · Physics 2015-05-30 Bartlomiej Waclaw , Martin R. Evans

We consider the ordered and disordered dynamics for monolayers of rolling self-interacting particles with an offset center of mass and a non-isotropic inertia tensor. The rolling constraint is considered as a simplified model of a very…

Computational Physics · Physics 2015-05-19 Byungsoo Kim , Vakhtang Putkaradze

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

A spin dynamics approach has been used to study the behavior of the magnetic spins and the electric pseudo-spins in a 1-D composite multiferroic chain with a linear magneto-electric coupling at the interface. The response is investigated…

Mesoscale and Nanoscale Physics · Physics 2015-10-01 Zidong Wang , Malcolm J. Grimson

Many systems in nature, from ferromagnets to flocks of birds, exhibit ordering phenomena on the large scale. In physical systems order is statistically robust for large enough dimensions, with relative fluctuations due to noise vanishing…

Statistical Mechanics · Physics 2017-04-05 Andrea Cavagna , Irene Giardina , Asja Jelic , Edmondo Silvestri , Massimiliano Viale

We investigate the properties of Lindblad equations on $d$-dimensional lattices supporting a unique steady-state configuration. We consider the case of a time evolution weakly symmetric under the action of a finite group $G$, which is also…

Quantum Physics · Physics 2020-02-26 Davide Nigro

Collective motion and self-organization of interacting particles, such as flocking and swarming, can be viewed as nonequilibrium analogues of collective dynamics in gases. Motivated by the analogy between gas mixtures and Cucker--Smale…

Analysis of PDEs · Mathematics 2025-11-25 Ziming Bian , Seung-Yeal Ha , Tommaso Ruggeri , Qinghua Xiao

We study emergent dynamics of the discrete Cucker-Smale (in short, DCS) model with randomly switching network topologies. For this, we provide a sufficient framework leading to the stochastic flocking with probability one. Our sufficient…

Dynamical Systems · Mathematics 2019-12-30 Jiu-Gang Dong , Seung-Yeal Ha , Jinwook Jung , Doheon Kim

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that…

Condensed Matter · Physics 2009-10-28 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera , Alex Arenas

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

Efficient collective response to external perturbations is one of the most striking abilities of a biological system. Signal propagation through the group is an important condition for the imple- mentation of such a response. Information…

Statistical Mechanics · Physics 2018-11-14 Andrea Cavagna , Daniele Conti , Irene Giardina , Tomas S. Grigera

We consider a stochastic aggregation model on Z^d. Start with particles located at the vertices of the lattice, initially distributed according to the product Bernoulli measure with parameter \mu. In addition, there is an aggregate, which…

Probability · Mathematics 2019-04-22 Vladas Sidoravicius , Alexandre Stauffer

In recent years the functionality of synthetic active microparticles has edged even closer to that of their biological counterparts. However, we still lack the understanding needed to recreate at the microscale key features of autonomous…

Soft Condensed Matter · Physics 2024-10-28 Philipp W. A. Schönhöfer , Sharon C. Glotzer