Silent flocks: Constraints on signal propagation across biological groups

Experiments find coherent information transfer through biological groups on length and time scales distinctly below those on which asymptotically correct hydrodynamic theories apply. We present here a new continuum theory of collective motion coupling the velocity and density fields of Toner and Tu...

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Autores principales: Cavagna, A., Giardina, I., Grigera, Tomás Sebastián, Jelic, A., Levine, D., Ramaswamy, S., Viale, M.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86400
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id I19-R120-10915-86400
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Biología
Grupos biológicos
Dispersión
spellingShingle Biología
Grupos biológicos
Dispersión
Cavagna, A.
Giardina, I.
Grigera, Tomás Sebastián
Jelic, A.
Levine, D.
Ramaswamy, S.
Viale, M.
Silent flocks: Constraints on signal propagation across biological groups
topic_facet Biología
Grupos biológicos
Dispersión
description Experiments find coherent information transfer through biological groups on length and time scales distinctly below those on which asymptotically correct hydrodynamic theories apply. We present here a new continuum theory of collective motion coupling the velocity and density fields of Toner and Tu to the inertial spin field recently introduced to describe information propagation in natural flocks of birds. The long-wavelength limit of the new equations reproduces the Toner-Tu theory, while at shorter wavelengths (or, equivalently, smaller damping), spin fluctuations dominate over density fluctuations, and second-sound propagation of the kind observed in real flocks emerges. We study the dispersion relation of the new theory and find that when the speed of second sound is large, a gap in momentum space sharply separates first- from second-sound modes. This gap implies the existence of silent flocks, namely, of medium-sized systems across which information cannot propagate in a linear and underdamped way, either under the form of orientational fluctuations or under that of density fluctuations, making it hard for the group to achieve coordination.
format Articulo
Articulo
author Cavagna, A.
Giardina, I.
Grigera, Tomás Sebastián
Jelic, A.
Levine, D.
Ramaswamy, S.
Viale, M.
author_facet Cavagna, A.
Giardina, I.
Grigera, Tomás Sebastián
Jelic, A.
Levine, D.
Ramaswamy, S.
Viale, M.
author_sort Cavagna, A.
title Silent flocks: Constraints on signal propagation across biological groups
title_short Silent flocks: Constraints on signal propagation across biological groups
title_full Silent flocks: Constraints on signal propagation across biological groups
title_fullStr Silent flocks: Constraints on signal propagation across biological groups
title_full_unstemmed Silent flocks: Constraints on signal propagation across biological groups
title_sort silent flocks: constraints on signal propagation across biological groups
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/86400
work_keys_str_mv AT cavagnaa silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT giardinai silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT grigeratomassebastian silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT jelica silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT levined silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT ramaswamys silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
AT vialem silentflocksconstraintsonsignalpropagationacrossbiologicalgroups
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