Propagating speed waves in flocks: a mathematical model

An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density...

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Autores principales: Cavagnaro, Romina Andrea, Conti, Daniele, Giardina, Irene, Grigera, Tomás Sebastián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
Active matter
Flocking
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98359
https://ri.conicet.gov.ar/11336/89286
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052404
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-98359
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Active matter
Flocking
spellingShingle Física
Active matter
Flocking
Cavagnaro, Romina Andrea
Conti, Daniele
Giardina, Irene
Grigera, Tomás Sebastián
Propagating speed waves in flocks: a mathematical model
topic_facet Física
Active matter
Flocking
description An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density waves that propagate linearly on a flock of birds is well known. However, most aspects of this phenomenon are still not fully captured by theoretical models. In this work we present a model for the propagation of speed fluctuations inside a flock, which is able to reproduce the observed density waves. We study the full solution of the model in d=1, and we find a line in the parameter space along which the system relaxes as fast as possible without oscillating, resembling a generalized critical damping condition. By analyzing the parameters plane we show that this "critical damping" line indeed represents an attractor for a steepest descent dynamics of the return time of the system. Finally we propose a method to test the validity of the model through future experiments.
format Articulo
Articulo
author Cavagnaro, Romina Andrea
Conti, Daniele
Giardina, Irene
Grigera, Tomás Sebastián
author_facet Cavagnaro, Romina Andrea
Conti, Daniele
Giardina, Irene
Grigera, Tomás Sebastián
author_sort Cavagnaro, Romina Andrea
title Propagating speed waves in flocks: a mathematical model
title_short Propagating speed waves in flocks: a mathematical model
title_full Propagating speed waves in flocks: a mathematical model
title_fullStr Propagating speed waves in flocks: a mathematical model
title_full_unstemmed Propagating speed waves in flocks: a mathematical model
title_sort propagating speed waves in flocks: a mathematical model
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/98359
https://ri.conicet.gov.ar/11336/89286
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052404
work_keys_str_mv AT cavagnarorominaandrea propagatingspeedwavesinflocksamathematicalmodel
AT contidaniele propagatingspeedwavesinflocksamathematicalmodel
AT giardinairene propagatingspeedwavesinflocksamathematicalmodel
AT grigeratomassebastian propagatingspeedwavesinflocksamathematicalmodel
bdutipo_str Repositorios
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