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

作者：Blanchard T^*; Corberi F; Cugliandolo L F; Picco M

来源：EPL, 2014, 106(6): 66001.

DOI：10.1209/0295-5075/106/66001

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) similar or equal to 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.

• 出版日期2014-6