论文标题

Nishimori线上的多物种平均型号旋转玻璃

The multi-species mean-field spin-glass on the Nishimori line

论文作者

Alberici, Diego, Camilli, Francesco, Contucci, Pierluigi, Mingione, Emanuele

论文摘要

在本文中,我们研究了Nishimori线上的多种物种混乱模型。该线的典型属性是相关函数之间的一组身份和不等式,使我们能够证明副本对称性,即顺序参数的浓度。当相互作用结构是椭圆时,我们严格地根据有限的尺寸变分原理计算模型的精确解,并研究其特性。

In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry i.e. the concentration of the order parameter. When the interaction structure is elliptic we rigorously compute the exact solution of the model in terms of a finite dimensional variational principle and we study its properties.

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