Dynamical fluctuations in an exactly solvable model of spin glasses

Details Dynamical fluctuations in an exactly solvable model of spin glasses Dynamical fluctuations in an exactly solvable model of spin glasses

1997-09-25

arxiv.org/abs/cond-mat/9709279v1

Physics

Condensed Matter

Latex, 8 pages

Scientific paper

10.1088/0305-4470/31/8/003

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 $X_{t}$ which, for large time $t$, we find scales as $t^{-1/2}$ as in the case of the two-point functions.

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