We study the critical crossover between the Gaussian and the Wilson-Fisher fixed point for general O(N)-invariant spin models with medium-range interactions, We perform a systematic expansion around the mean-field solution, obtaining the universal crossover curves and their leading corrections, In particular we show that, in three dimensions, the leading correction scales as R(-3), R being the range of the interactions, We compare our results with the existing numerical ones obtained by Monte Carlo simulations and present a critical discussion of other approaches, (C) 1999 Elsevier Science B.V. All rights reserved.

Mean-field expansion for spin models with medium-range interactions

ROSSI, PAOLO;VICARI, ETTORE
1999

Abstract

We study the critical crossover between the Gaussian and the Wilson-Fisher fixed point for general O(N)-invariant spin models with medium-range interactions, We perform a systematic expansion around the mean-field solution, obtaining the universal crossover curves and their leading corrections, In particular we show that, in three dimensions, the leading correction scales as R(-3), R being the range of the interactions, We compare our results with the existing numerical ones obtained by Monte Carlo simulations and present a critical discussion of other approaches, (C) 1999 Elsevier Science B.V. All rights reserved.
Pelissetto, A; Rossi, Paolo; Vicari, Ettore
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: http://hdl.handle.net/11568/191115
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 16
social impact