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Detailed balance and critical slowing down for classical lattice systems

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For classical lattice systems we prove rigorously a relation between the fluctuations and the relaxation times for a dynamics given by a detailed balance semigroup. In particular we give a rigorous proof of the conventional theory of critical slowing down.

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On leave of absence from Institute of Theoretical Physics and Astrophysics, Gdansk University, Poland.

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Alicki, R., Fannes, M. & Verbeure, A. Detailed balance and critical slowing down for classical lattice systems. J Stat Phys 41, 263–272 (1985). https://doi.org/10.1007/BF01020612

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  • DOI: https://doi.org/10.1007/BF01020612

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