Fluctuations in classical continuous systems are studied. In the low activity high temperature regime for these fluctuations a central limit theorem is proven and the space of macroscopic fluctuations is constructed. Furthermore, it is shown that the generator of the microscopic stochastic dynamics
Fluctuations and Their Glauber Dynamics in Lattice Systems
✍ Scribed by Sergio Albeverio; Alexei Daletskii; Yuri Kondratiev; Michael Röckner
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 173 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
We consider a class of unbounded spin systems (containing, in particular, anharmonic classical crystals) and construct the stochastic dynamics in the space of macroscopic fluctuations starting from a given microscopic stochastic time evolution.
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