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Tracer dynamics in Dyson's model of interacting Brownian particles

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Abstract

We prove that the mean square displacement of a tracer particle grows as logt for larget. We point out a connection to the low-temperature floating phase of the ANNNI model.

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Spohn, H. Tracer dynamics in Dyson's model of interacting Brownian particles. J Stat Phys 47, 669–679 (1987). https://doi.org/10.1007/BF01206151

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  • DOI: https://doi.org/10.1007/BF01206151

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