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arXiv · 1812.06334

Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model

Giorgio Parisi·Leopoldo Sarra·Lorenzo Talamanca
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Abstract

We study finite-size corrections to the free energy of the Sherrington-Kirkpatrick spin glass in the low temperature phase. We investigate the role of longitudinal fluctuations in these corrections, neglecting the transverse contribution. In particular, we are interested in the exponent $α$ defined by the relation $f-f_\infty\sim N^{-α}$. We perform both an analytical and numerical estimate of the analytical result for $α$. From both the approaches we get the result: $α=0.8$.

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Giorgio Parisi, Leopoldo Sarra, Lorenzo Talamanca. 2018-12-15. Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model. https://doi.org/10.1088/1742-5468%2Fab0c1b

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