Abstract
We study moderate deviations for additive functionals of stochastic lattice gases (Kawasaki dynamics for the Ising model). Under a mixing condition, we prove that the additive functional of any local functions satisfies a moderate deviation principle. The main tool is the logarithmic Sobolev inequality obtained by Yau.
Funding Statement
Supported by the National Natural Science Foundation of China (Nos. 11971361, 11731012, 12371275) and the Natural Sciences and Engineering Research Council of Canada.
Acknowledgments
The authors are very grateful to the anonymous referees for their helpful comments and suggestions.
Citation
Fuqing Gao. Jeremy Quastel. "Moderate deviations for lattice gases with mixing conditions." Electron. J. Probab. 29 1 - 23, 2024. https://doi.org/10.1214/24-EJP1101
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