19–21 Dec 2022
Dipartimento di Fisica - Università di Bari "Aldo Moro"
Europe/Rome timezone
SM&FT 2022 Frontiers in Computational Physics

Fluctuations of arctic curves and the Tracy Widom distribution

20 Dec 2022, 18:15
20m
Dipartimento di Fisica - Università di Bari "Aldo Moro" - aula B - 1st floor

Dipartimento di Fisica - Università di Bari "Aldo Moro" - aula B - 1st floor

Speaker

Jacopo Viti

Description

Arctic curves in two-dimensional lattice models separate disordered regions from others whose degrees of freedom are frozen. A celebrated example is the so-called arctic circle in the six-vertex model. In this talk, I will analyze numerically fluctuations of the arctic curves in the six-vertex model and discuss their relation with the Tracy-Widom distribution. The latter arises in the context of random matrices theory when studying statistics of extrema. This is joint work with V. Korepin and I. Lyberg.

Primary author

Jacopo Viti

Presentation materials