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Condensed Matter > Statistical Mechanics
Title: A simplified Parisi Ansatz II: REM universality
(Submitted on 13 Dec 2023 (v1), last revised 8 Apr 2024 (this version, v3))
Abstract: In a previous work [A simplified Parisi Ansatz, Franchini, S., Commun. Theor. Phys., 73, 055601 (2021)] we introduced a simple method to compute the Random Overlap Structure of Aizenmann, Simm and Stars and the full-RSB Parisi formula for the Sherrington-Kirckpatrick Model without using replica theory. The method consists in partitioning the system into smaller sub-systems that we call layers, and iterate the Bayes rule. A central ansatz in our derivation was that these layers could be approximated by Random Energy Models of the Derrida type. In this paper we analyze the properties of the interface in detail, and show the equivalence with the Random Energy Model at any temperature.
Submission history
From: Simone Franchini Dr. [view email][v1] Wed, 13 Dec 2023 00:08:33 GMT (39kb,D)
[v2] Mon, 18 Dec 2023 00:43:04 GMT (40kb,D)
[v3] Mon, 8 Apr 2024 12:09:01 GMT (42kb,D)
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