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∞ is nontrivial, S(C) has the trivial equilibrium form.
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The algorithm by Bray and Humayun enters the scaling regime earlier than the GL equations, so that a sufficiently long scaling window exists before finite size effects appear.
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w) has been independently pointed out by M. Henkel, M. Paessens, and M. Pleimling, in Phys. Rev. E 69, 056109 (2004). The crucial difference with these authors is that they believe roughening to be unrelated to aging behavior, while we claim just the opposite.
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