Domain wall fluctuations of the six-vertex model at the ice point

Michael Prähofer, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We report on Monte-Carlo simulations of the six-vertex model with domain wall boundary conditions. In thermal equilibrium such boundary conditions force a fluctuating line separating the disordered region from the perfectly ordered ones. Specifically we study the ice point at which all vertex weights are equal. With high precision the one-point fluctuations of the line are confirmed to be of order N 1 3 and governed by the Tracy-Widom distribution. Furthermore, the non-universal scaling coefficients are computed for a wide range of interaction strengths.

Original languageEnglish
Article number025001
JournalJournal of Physics A: Mathematical and Theoretical
Volume57
Issue number2
DOIs
StatePublished - 12 Jan 2024

Keywords

  • KPZ scaling
  • alternating sign matrices
  • domain-wall-boundary conditions
  • six-vertex model

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