Volume 55, Number 4, August 2001
|Page(s)||512 - 517|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 December 2003|
Finite-size effects on the Hamiltonian dynamics of the XY-model
Dipartimento di Energetica "S. Stecco" -
Via Santa Marta 3, I-50139 Firenze, Italy
and INFM, Unità di Firenze -
L.go E. Fermi 3 I-50125 Firenze, Italy
Accepted: 28 May 2001
The dynamical properties of the finite-size magnetization M in the critical region of the planar rotor model on a square lattice are analyzed by means of microcanonical simulations. The behavior of the 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 TKTB the diffusion constant scales with system size as .
PACS: 64.60.-i – General studies of phase transitions / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 2001
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