Finite-size effects on the Hamiltonian dynamics of the XY-model
Statistical Mechanics
2009-11-07 v1
Abstract
The dynamical properties of the finite-size magnetization M in the critical region T<T_{KTB} of the planar rotor model on a L x L square lattice are analyzed by means of microcanonical simulations . The behavior of the q=0 structure factor at high frequencies is consistent with field-theoretical results, but new additional features occur at lower frequencies. The motion of M determines a region of spectral lines and the presence of a central peak, which we attribute to phase diffusion. Near T_{KTB} the diffusion constant scales with system size as D ~ L^{-1.6(3)}.
Keywords
Cite
@article{arxiv.cond-mat/0105609,
title = {Finite-size effects on the Hamiltonian dynamics of the XY-model},
author = {S. Lepri and S. Ruffo},
journal= {arXiv preprint arXiv:cond-mat/0105609},
year = {2009}
}
Comments
To be published in Europhysics Letters