Expansion of the Glauber equation of motion in terms of cumulants powers |
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Authors: | T Bury |
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Institution: | 1.Service OPERA (CP194/5),Université libre de Bruxelles,Brussels,Belgium |
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Abstract: | We present an expansion of the Glauber equation of motion in terms of cumulants of the
effective fields. We show that we recover a part of the fluctuations with a simple third
order expansion. We illustrate the method with an application to the 2D square lattice
Ising model with nearest neighbors. For the special case of perturbed non gaussian
effective fields, we show that only the first cumulants are significative. Furthermore it
can be shown that the resulting distribution is closer to the normal distribution than the
unperturbed fields one. It leads to the conclusion that we can consistently truncate the
expansion of the exact Glauber equation of motion. |
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Keywords: | |
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