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arXiv · 2009.12514

Fluctuations of the 2-spin SSK model with magnetic field

Benjamin Landon·Philippe Sosoe
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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.

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Benjamin Landon, Philippe Sosoe. 2020-09-26. Fluctuations of the 2-spin SSK model with magnetic field. https://arxiv.org/abs/2009.12514

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