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note
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j consists of all the spins whose flipping probability depends on spins outside the domain. However, in our case, in which the flipping probability depends on the value of the spin and its four nearest neighbors, this reduces to the definition in the main text.
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42
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note
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Our theoretical scheme cannot be used to study the evolution from the metastable towards the stable state; this is a highly inhomogeneous process triggered by fluctuations which escapes the present approach.
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44
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note
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The intrinsic coercive field is defined as the magnetic field for which the magnetization becomes zero in the hysteresis loop [20]. The loop in our case goes discontinuously from positive to negative magnetization, and vice versa, crossing (discontinuously) m=0 at h=h*.
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note
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A better definition of the effective temperature, with no singular behavior at ΔH=0, may be obtained using the Metropolis rule, instead of Glauber rule, in the definition of rate (3), Ref. [19].
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