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arXiv · 1312.1712

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

Thibault Blanchard·Federico Corberi·Leticia F. Cugliandolo·Marco Picco
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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 bi-dimensional Ising model. We show that a stable structure of spanning clusters establishes at a time $t_p \simeq L^{α_p}$. Our numerical results yield $α_p=0.50(2)$ for the square and kagome, $α_p=0.33(2)$ for the triangular and $α_p=0.38(5)$ 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.

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Thibault Blanchard, Federico Corberi, Leticia F. Cugliandolo, Marco Picco. 2014-03-10. How soon after a zero-temperature quench is the fate of the Ising model sealed?. https://doi.org/10.1209/0295-5075%2F106%2F66001

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