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 log t for large t. We point out a connection to the low-temperature floating phase of the ANNNI model.

Original languageEnglish
Pages (from-to)669-679
Number of pages11
JournalJournal of Statistical Physics
Volume47
Issue number5-6
DOIs
StatePublished - Jun 1987
Externally publishedYes

Keywords

  • Mean square displacement
  • bulk fluctuations
  • current across the origin

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