Renormalization group crossover in the critical dynamics of field theories with mode coupling terms
- Autores
- Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; Pisegna, Giulia
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Motivated by the collective behavior of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. Under a fixed-network approximation, we perform a dynamical renormalization group calculation at one loop in the near-critical disordered region, and we show that the violation of momentum conservation generates a crossover between an unstable fixed point, characterized by a dynamic critical exponent z=d/2, and a stable fixed point with z=2. Interestingly, the two fixed points have different upper critical dimensions. The interplay between these two fixed points gives rise to a crossover in the critical dynamics of the system, characterized by a crossover exponent κ=4/d. The crossover is regulated by a conservation length scale R0, given by the ratio between the transport coefficient and the effective friction, which is larger as the dissipation is smaller: Beyond R0, the stable fixed point dominates, while at shorter distances dynamics is ruled by the unstable fixed point and critical exponent, a behavior which is all the more relevant in finite-size systems with weak dissipation. We run numerical simulations in three dimensions and find a crossover between the exponents z=3/2 and z=2 in the critical slowdown of the system, confirming the renormalization group results. From the biophysical point of view, our calculation indicates that in finite-size biological groups mode coupling terms in the equation of motion can significantly change the dynamical critical exponents even in the presence of dissipation, a step toward reconciling theory with experiments in natural swarms. Moreover, our result provides the scale within which fully conservative Bose-Einstein condensation is a good approximation in systems with weak symmetry-breaking terms violating number conservation, as quantum magnets or photon gases.
Fil: Cavagna, Andrea. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia
Fil: Di Carlo, Luca. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia
Fil: Giardina, Irene. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia. Istituto Nazionale Di Fisica Nucleare.; Italia
Fil: Grandinetti, Luca. Dipartimento di Scienza Applicata e Tecnologia; Italia
Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mendoza. Museo de Ciencias Naturales y Antropológicas J. Cornelio Moyano; Argentina
Fil: Pisegna, Giulia. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia - Materia
-
collective behavior
swarming
renormalization group - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/125630
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Renormalization group crossover in the critical dynamics of field theories with mode coupling termsCavagna, AndreaDi Carlo, LucaGiardina, IreneGrandinetti, LucaGrigera, Tomas SebastianPisegna, Giuliacollective behaviorswarmingrenormalization grouphttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Motivated by the collective behavior of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. Under a fixed-network approximation, we perform a dynamical renormalization group calculation at one loop in the near-critical disordered region, and we show that the violation of momentum conservation generates a crossover between an unstable fixed point, characterized by a dynamic critical exponent z=d/2, and a stable fixed point with z=2. Interestingly, the two fixed points have different upper critical dimensions. The interplay between these two fixed points gives rise to a crossover in the critical dynamics of the system, characterized by a crossover exponent κ=4/d. The crossover is regulated by a conservation length scale R0, given by the ratio between the transport coefficient and the effective friction, which is larger as the dissipation is smaller: Beyond R0, the stable fixed point dominates, while at shorter distances dynamics is ruled by the unstable fixed point and critical exponent, a behavior which is all the more relevant in finite-size systems with weak dissipation. We run numerical simulations in three dimensions and find a crossover between the exponents z=3/2 and z=2 in the critical slowdown of the system, confirming the renormalization group results. From the biophysical point of view, our calculation indicates that in finite-size biological groups mode coupling terms in the equation of motion can significantly change the dynamical critical exponents even in the presence of dissipation, a step toward reconciling theory with experiments in natural swarms. Moreover, our result provides the scale within which fully conservative Bose-Einstein condensation is a good approximation in systems with weak symmetry-breaking terms violating number conservation, as quantum magnets or photon gases.Fil: Cavagna, Andrea. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; ItaliaFil: Di Carlo, Luca. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; ItaliaFil: Giardina, Irene. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia. Istituto Nazionale Di Fisica Nucleare.; ItaliaFil: Grandinetti, Luca. Dipartimento di Scienza Applicata e Tecnologia; ItaliaFil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mendoza. Museo de Ciencias Naturales y Antropológicas J. Cornelio Moyano; ArgentinaFil: Pisegna, Giulia. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; ItaliaAmerican Physical Society2019-12-23info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/125630Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Renormalization group crossover in the critical dynamics of field theories with mode coupling terms; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 6; 23-12-2019; 62130-621302470-00452470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.100.062130info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.062130info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:08Zoai:ri.conicet.gov.ar:11336/125630instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:28:09.101CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
title |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
spellingShingle |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms Cavagna, Andrea collective behavior swarming renormalization group |
title_short |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
title_full |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
title_fullStr |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
title_full_unstemmed |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
title_sort |
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms |
dc.creator.none.fl_str_mv |
Cavagna, Andrea Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomas Sebastian Pisegna, Giulia |
author |
Cavagna, Andrea |
author_facet |
Cavagna, Andrea Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomas Sebastian Pisegna, Giulia |
author_role |
author |
author2 |
Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomas Sebastian Pisegna, Giulia |
author2_role |
author author author author author |
dc.subject.none.fl_str_mv |
collective behavior swarming renormalization group |
topic |
collective behavior swarming renormalization group |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Motivated by the collective behavior of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. Under a fixed-network approximation, we perform a dynamical renormalization group calculation at one loop in the near-critical disordered region, and we show that the violation of momentum conservation generates a crossover between an unstable fixed point, characterized by a dynamic critical exponent z=d/2, and a stable fixed point with z=2. Interestingly, the two fixed points have different upper critical dimensions. The interplay between these two fixed points gives rise to a crossover in the critical dynamics of the system, characterized by a crossover exponent κ=4/d. The crossover is regulated by a conservation length scale R0, given by the ratio between the transport coefficient and the effective friction, which is larger as the dissipation is smaller: Beyond R0, the stable fixed point dominates, while at shorter distances dynamics is ruled by the unstable fixed point and critical exponent, a behavior which is all the more relevant in finite-size systems with weak dissipation. We run numerical simulations in three dimensions and find a crossover between the exponents z=3/2 and z=2 in the critical slowdown of the system, confirming the renormalization group results. From the biophysical point of view, our calculation indicates that in finite-size biological groups mode coupling terms in the equation of motion can significantly change the dynamical critical exponents even in the presence of dissipation, a step toward reconciling theory with experiments in natural swarms. Moreover, our result provides the scale within which fully conservative Bose-Einstein condensation is a good approximation in systems with weak symmetry-breaking terms violating number conservation, as quantum magnets or photon gases. Fil: Cavagna, Andrea. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia Fil: Di Carlo, Luca. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia Fil: Giardina, Irene. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia. Istituto Nazionale Di Fisica Nucleare.; Italia Fil: Grandinetti, Luca. Dipartimento di Scienza Applicata e Tecnologia; Italia Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mendoza. Museo de Ciencias Naturales y Antropológicas J. Cornelio Moyano; Argentina Fil: Pisegna, Giulia. Istituto Sistemi Complessi; Italia. Università degli studi di Roma "La Sapienza"; Italia |
description |
Motivated by the collective behavior of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. Under a fixed-network approximation, we perform a dynamical renormalization group calculation at one loop in the near-critical disordered region, and we show that the violation of momentum conservation generates a crossover between an unstable fixed point, characterized by a dynamic critical exponent z=d/2, and a stable fixed point with z=2. Interestingly, the two fixed points have different upper critical dimensions. The interplay between these two fixed points gives rise to a crossover in the critical dynamics of the system, characterized by a crossover exponent κ=4/d. The crossover is regulated by a conservation length scale R0, given by the ratio between the transport coefficient and the effective friction, which is larger as the dissipation is smaller: Beyond R0, the stable fixed point dominates, while at shorter distances dynamics is ruled by the unstable fixed point and critical exponent, a behavior which is all the more relevant in finite-size systems with weak dissipation. We run numerical simulations in three dimensions and find a crossover between the exponents z=3/2 and z=2 in the critical slowdown of the system, confirming the renormalization group results. From the biophysical point of view, our calculation indicates that in finite-size biological groups mode coupling terms in the equation of motion can significantly change the dynamical critical exponents even in the presence of dissipation, a step toward reconciling theory with experiments in natural swarms. Moreover, our result provides the scale within which fully conservative Bose-Einstein condensation is a good approximation in systems with weak symmetry-breaking terms violating number conservation, as quantum magnets or photon gases. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-12-23 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/125630 Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Renormalization group crossover in the critical dynamics of field theories with mode coupling terms; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 6; 23-12-2019; 62130-62130 2470-0045 2470-0053 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/125630 |
identifier_str_mv |
Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Renormalization group crossover in the critical dynamics of field theories with mode coupling terms; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 6; 23-12-2019; 62130-62130 2470-0045 2470-0053 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.100.062130 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.062130 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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American Physical Society |
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American Physical Society |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |