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

T. Blanchard, F. Corberi, L. F. Cugliandolo, M. Picco
2014 Europhysics letters  
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 ≃ 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
more » ... -scale. We discuss the implications of these results for other non-equilibrium processes.
doi:10.1209/0295-5075/106/66001 fatcat:sbe5eiipjzgglntvsvkttr3zwa