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 language | English |
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Article number | 025001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 57 |
Issue number | 2 |
DOIs | |
State | Published - 12 Jan 2024 |
Keywords
- KPZ scaling
- alternating sign matrices
- domain-wall-boundary conditions
- six-vertex model