The dynamical properties of the finite-size magnetization M in the critical region T less than or equal to 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 similar to L-1.6(3).

Finite-size effects on the Hamiltonian dynamics of the XY-model / Lepri, S.; Ruffo, S.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 55:4(2001), pp. 512-517. [10.1209/epl/i2001-00445-5]

Finite-size effects on the Hamiltonian dynamics of the XY-model

Lepri, S.;Ruffo, S.
2001-01-01

Abstract

The dynamical properties of the finite-size magnetization M in the critical region T less than or equal to 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 similar to L-1.6(3).
2001
55
4
512
517
Lepri, S.; Ruffo, S.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14502
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 8
social impact