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dc.contributor.author
Barbier, Damien
dc.contributor.author
Cugliandolo, Leticia F.
dc.contributor.author
Lozano, Gustavo Sergio
dc.contributor.author
Nessi, Emilio Nicolas
dc.date.available
2021-11-08T13:50:34Z
dc.date.issued
2020-10
dc.identifier.citation
Barbier, Damien; Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolas; (Non-equilibrium) thermodynamics of integrable models: The Generalized Gibbs Ensemble description of the classical Neumann model; Europhysics Letters; Europhysics Letters; 132; 5; 10-2020; 1-8
dc.identifier.issn
0295-5075
dc.identifier.uri
http://hdl.handle.net/11336/146238
dc.description.abstract
We study the motion of a classical particle subject to anisotropic harmonic forces and constrained to move on the SN−1 sphere. In the integrable-systems literature this problem is known as the Neumann model. We choose the spring constants in a way that makes the connection with the so-called p = 2 spherical disordered system transparent. We tackle the problem in the N → ∞ limit by introducing a soft version in which the spherical constraint is imposed only on average over initial conditions. We show that the Generalized Gibbs Ensemble, constructed with N conserved charges in involution, captures the long-time averages of all relevant observables of the soft model after sudden changes in the parameters (quenches). We reveal the full dynamic phase diagram with four different phases in which the particles´ position and momentum are both extended, only the position quasi-condenses or condenses, and both condense. The scaling properties of the fluctuations allow us to establish in which of these cases the strict and soft spherical constraints are equivalent. We thus confirm the validity of the GGE hypothesis for the Neumann model on a large portion of the dynamic phase diagram.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Europhysics Letters
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
neumann
dc.subject
gibbs
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Física de los Materiales Condensados
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
(Non-equilibrium) thermodynamics of integrable models: The Generalized Gibbs Ensemble description of the classical Neumann model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-07T18:21:24Z
dc.journal.volume
132
dc.journal.number
5
dc.journal.pagination
1-8
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Barbier, Damien. Université Pierre et Marie Curie; Francia
dc.description.fil
Fil: Cugliandolo, Leticia F.. Université Pierre et Marie Curie; Francia
dc.description.fil
Fil: Lozano, Gustavo Sergio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: Nessi, Emilio Nicolas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
Europhysics Letters
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1209/0295-5075/132/50002/meta
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