Phys. Rev. E 55, R4841–R4844 (1997)Analytic study of domain growth in the Ising model with quenched impurities
We analytically study the one-dimensional kinetic Ising model with Glauber dynamics in the presence of quenched impurities. We derive the evolution equations for the expectation value of spin and the equal-time pair correlation function. The scaling form of the structure factor is given by Gk(t)=(1-ρ)t1/2g((1-ρ2)k2t,ρ2t) with the impurity concentration ρ, and its scaling function is calculated at zero temperature. We also obtain the average pinned domain size at long time for quenches to T=0 in one dimension, and find that it scales inversely with impurity concentration for the small ρ. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.R4841
DOI:
10.1103/PhysRevE.55.R4841
PACS:
05.70.Ln, 64.60.Cn, 05.40.+j
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