Dynamical renormalization group for mode-coupling field theories with solenoidal constraint

The recent inflow of empirical data about the collective behaviour of strongly correlated biological systems has brought field theory and the renormalization group into the biophysical arena. Experiments on bird flocks and insect swarms show that social forces act on the particles' velocity thr...

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Autores principales: Cavagna, Andrea, Di Carlo, Luca, Giardina, Irene, Grigera, Tomás Sebastián, Pisegna, Giulia, Scandolo, Mattia
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Dynamic renormalization group
Mode-coupling
Solenoidal field
Collective behaviour
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145809
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-145809
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Dynamic renormalization group
Mode-coupling
Solenoidal field
Collective behaviour
spellingShingle Física
Dynamic renormalization group
Mode-coupling
Solenoidal field
Collective behaviour
Cavagna, Andrea
Di Carlo, Luca
Giardina, Irene
Grigera, Tomás Sebastián
Pisegna, Giulia
Scandolo, Mattia
Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
topic_facet Física
Dynamic renormalization group
Mode-coupling
Solenoidal field
Collective behaviour
description The recent inflow of empirical data about the collective behaviour of strongly correlated biological systems has brought field theory and the renormalization group into the biophysical arena. Experiments on bird flocks and insect swarms show that social forces act on the particles' velocity through the generator of its rotations, namely the spin, indicating that mode-coupling field theories are necessary to reproduce the correct dynamical behaviour. Unfortunately, a theory for three coupled fields - density, velocity and spin - has a prohibitive degree of intricacy. A simplifying path consists in getting rid of density fluctuations by studying incompressible systems. This requires imposing a solenoidal constraint on the primary field, an unsolved problem even for equilibrium mode-coupling theories. Here, we perform an equilibrium dynamic renormalization group analysis of a mode-coupling field theory subject to a solenoidal constraint; using the classification of Halperin and Hohenberg, we can dub this case as a solenoidal Model G. We demonstrate that the constraint produces a new vertex that mixes static and dynamical coupling constants, and that this vertex is essential to grant the closure of the renormalization group structure and the consistency of dynamics with statics. Interestingly, although the solenoidal constraint leads to a modification of the static universality class, we find that it does not change the dynamical universality class, a result that seems to represent an exception to the general rule that dynamical universality classes are narrower than static ones. Our results constitute a solid stepping stone in the admittedly large chasm towards developing an off-equilibrium mode-coupling theory of biological groups.
format Articulo
Articulo
author Cavagna, Andrea
Di Carlo, Luca
Giardina, Irene
Grigera, Tomás Sebastián
Pisegna, Giulia
Scandolo, Mattia
author_facet Cavagna, Andrea
Di Carlo, Luca
Giardina, Irene
Grigera, Tomás Sebastián
Pisegna, Giulia
Scandolo, Mattia
author_sort Cavagna, Andrea
title Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
title_short Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
title_full Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
title_fullStr Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
title_full_unstemmed Dynamical renormalization group for mode-coupling field theories with solenoidal constraint
title_sort dynamical renormalization group for mode-coupling field theories with solenoidal constraint
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/145809
work_keys_str_mv AT cavagnaandrea dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
AT dicarloluca dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
AT giardinairene dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
AT grigeratomassebastian dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
AT pisegnagiulia dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
AT scandolomattia dynamicalrenormalizationgroupformodecouplingfieldtheorieswithsolenoidalconstraint
bdutipo_str Repositorios
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