| Issue |
Europhys. Lett.
Volume 55, Number 4, August 2001
|
|
|---|---|---|
| Page(s) | 512 - 517 | |
| Section | Condensed matter: structure, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2001-00445-5 | |
| 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
Received:
4
January
2001
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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