Revisiting Kawasaki dynamics in one dimension

Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, whic...

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Autor principal: Grynberg, Marcelo Daniel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126018
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126018
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
spellingShingle Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
Grynberg, Marcelo Daniel
Revisiting Kawasaki dynamics in one dimension
topic_facet Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
description Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.
format Articulo
Articulo
author Grynberg, Marcelo Daniel
author_facet Grynberg, Marcelo Daniel
author_sort Grynberg, Marcelo Daniel
title Revisiting Kawasaki dynamics in one dimension
title_short Revisiting Kawasaki dynamics in one dimension
title_full Revisiting Kawasaki dynamics in one dimension
title_fullStr Revisiting Kawasaki dynamics in one dimension
title_full_unstemmed Revisiting Kawasaki dynamics in one dimension
title_sort revisiting kawasaki dynamics in one dimension
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/126018
work_keys_str_mv AT grynbergmarcelodaniel revisitingkawasakidynamicsinonedimension
bdutipo_str Repositorios
_version_ 1764820450016231427

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