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Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model

Published online by Cambridge University Press:  22 January 2016

Ming Zhu*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan
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We shall investigate a system of spin configurations S = {S(t, x); t ≥ 0, x ∊ ℤ} on a one-dimensional lattice ℤ changing randomly in time. The evolution law is described by an infinite-dimensional stochastic differential equation (SDE):

where {β(t, x); t > 0, xZ} is a family of independent standard Wiener processes and U′ is the derivative of a self-potential U: R → R.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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