Fluctuations of the 2-spin SSK model with magnetic field
Probability
2024-01-23 v3 Mathematical Physics
math.MP
Abstract
We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the size of the magnetic field, confirming predictions by Fyodorov-Le Doussal and recent work of Baik, Collins-Wildman, Le Doussal and Wu.
Keywords
Cite
@article{arxiv.2009.12514,
title = {Fluctuations of the 2-spin SSK model with magnetic field},
author = {Benjamin Landon and Philippe Sosoe},
journal= {arXiv preprint arXiv:2009.12514},
year = {2024}
}
Comments
v3: presentation improved