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.
| Original language | English |
|---|---|
| Pages (from-to) | 1181-1207 |
| Number of pages | 27 |
| Journal | Journal of Statistical Physics |
| Volume | 58 |
| Issue number | 5-6 |
| DOIs | |
| State | Published - Mar 1990 |
Keywords
- cluster expansion
- Landau-Ginzburg equation
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