Dynamical fluctuations in an exactly solvable model of spin glasses
Abstract
In this work we calculate the dynamical fluctuations at O(1/N) in the low temperature phase of the p=2 spherical spin glass model. We study the large-times asymptotic regimes and we find, in a short time-differences regime, a fluctuation dissipation relation for the four-point correlation functions. This relation can be extended to the out of equilibrium regimes introducing a function Xt which, for large time t, we find scales as t-1/2 as in the case of the two-point functions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.