Critical dynamics of a stochastic n-vector model below Tc

L. Sasvári, P. Szépfalusy

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Abstract

The dynamic properties of a stochastic n-vector model are investigated for T <Tc in d=4-ε{lunate} dimensions. Besides the non-conserved order parameter the model involves also the conserved densities of generators of the symmetry group O(n). We calculate the excitation spectra of those conserved densities and the transverse fluctuations of the order parameter to linear order in ε{lunate} in the hydrodynamic region kξ≪1. The propagating modes have linear dispersion and quadratic damping in accordance with the phenomenological theory. The relaxing modes, however, exhibit non-hydrodynamic wavenumber dependence with a relaxation rate ωk ∞ k d 2.

Original languageEnglish
Pages (from-to)626-632
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume90
Issue number3-4
DOIs
Publication statusPublished - 1978

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Critical Dynamics
Order Parameter
Dynamic Properties
Linear Order
Symmetry Group
dynamic characteristics
Hydrodynamics
Damping
Transverse
generators
Excitation
damping
hydrodynamics
Generator
Fluctuations
Calculate
symmetry
Model
excitation

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Critical dynamics of a stochastic n-vector model below Tc. / Sasvári, L.; Szépfalusy, P.

In: Physica A: Statistical Mechanics and its Applications, Vol. 90, No. 3-4, 1978, p. 626-632.

Research output: Contribution to journalArticle

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