We study the transient between a fully disordered initial condition and a percolating structure in the low-temperature non-conserved order parameter dynamics of the two-dimensional Ising model. We show that a stable structure of spanning clusters establishes at a time $t_p \simeq L^{\alpha_p}$ . Our numerical results yield $\alpha_p=0.50(2)$ for the square and kagome lattices, $\alpha_p=0.33(2)$ for the triangular and $\alpha_p=0.38(5)$ for the bowtie-a lattices. We generalise the dynamic scaling hypothesis to take into account this new time-scale. We discuss the implications of these results for other non-equilibrium processes.

How soon after a zero-temperature quench is the fate of the Ising model sealed?

CORBERI, Federico;
2014-01-01

Abstract

We study the transient between a fully disordered initial condition and a percolating structure in the low-temperature non-conserved order parameter dynamics of the two-dimensional Ising model. We show that a stable structure of spanning clusters establishes at a time $t_p \simeq L^{\alpha_p}$ . Our numerical results yield $\alpha_p=0.50(2)$ for the square and kagome lattices, $\alpha_p=0.33(2)$ for the triangular and $\alpha_p=0.38(5)$ for the bowtie-a lattices. We generalise the dynamic scaling hypothesis to take into account this new time-scale. We discuss the implications of these results for other non-equilibrium processes.
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/11386/4522058
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 36
  • ???jsp.display-item.citation.isi??? 37
social impact