A one-dimensional rule-based model for flocking, that combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of the self-propelled agents leads to a unique group behaviour that contrasts with previous studies. Our results show that the largest cluster of particles, in the condensed states, develops a mean velocity slower than the preferred one in the absence of noise. For strong noise, the system also develops a non-vanishing mean velocity, alternating its direction of motion stochastically. This allows us to address the directional switching phenomenon. The effects of different sources of stochasticity on the system are also discussed.
Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean direction of motion and for the static density structure factor (which encodes static density fluctuations) in the presence of a homogeneous, small external field. This allows us to formulate two different and complementary criteria capable of detecting instances of directed motion exclusively from easily measurable dynamical and static signatures of the co…
We study the $q$-state active Potts model (APM) on a two-dimensional lattice in which self-propelled particles have $q$ internal states corresponding to the $q$ directions of motion. A local alignment rule inspired by the ferromagnetic $q$-state Potts model and self-propulsion via biased diffusion according to the internal particle states leads to a collective motion at high densities and low noise. We formulate a coarse-grained hydrodynamic theory of the model, compute the phase diagrams of the APM for $q=4$ and $q=6$ and explore the flocking dynamics in the region, in which the high-density …
Flocking and turning: a new model for self-organized collective motion
a Istituto Sistemi Complessi (ISC--CNR), Via dei Taurini 19, 00185 Roma, Italy b Dipartimento di Fisica, ``Sapienza'' Universit\'a di Roma, P.le Aldo Moro 2, 00185 Roma, Italy c Initiative for the Theoretical Sciences, The Graduate Center, 365 Fifth Avenue, New York, NY 10016 USA d Instituto de Investigaciones Fisicoqu \' micas Te \'o ricas y Aplicadas (INIFTA)；Departamento de F \' sica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, c.c. 16, suc. 4, 1900 La Plata, Argentina e CONICET La Plata, Consejo Nacional de Investigaciones Cient \' ficas y T \'e cnicas, Argentina f Laboratoire de Physique Statistique de l' \' E cole Normale Sup\'erieure, CNRS；h Laboratoire de Physique Th\'eorique de l'\'Ecole Normale Sup\'erieure, CNRS；University Paris VI, 24 rue Lhomond, 75231 Paris Cedex 05, France
From Global Flocking to Local Clustering: Interplay between Velocity Alignment and Visual Perception of Active Particles
Department of Physics and Astrophysics, University of Delhi（德里大学物理与天体物理学系）；Department of Physics, University of Calcutta（加尔各答大学物理系）；Laboratoire de Physique Théorique et Modélisation, UMR 8089, CY Cergy Paris Université（CY塞尔吉巴黎大学理论物理与建模实验室）
