Abstract
A Langevin equation of Landau-Ginzburg type for the stochastic dynamics of a scalar field on a lattice is studied. A cluster expansion is developed for this problem which converges for large mass. As a consequence, one establishes uniformly in the volume: (a) exponential decay of correlations in space and time, and (b) exponential approach to equilibrium for a class of nearby initial distributions.
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Dimock, J. A cluster expansion for stochastic lattice fields. J Stat Phys 58, 1181–1207 (1990). https://doi.org/10.1007/BF01026571
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DOI: https://doi.org/10.1007/BF01026571