Thermodynamic limit and dispersive regularization in matrix models

Benassi, Costanza and Moro, Antonio (2020) Thermodynamic limit and dispersive regularization in matrix models. Physical Review E, 101 (5). 052118. ISSN 2470-0045

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Official URL: https://doi.org/10.1103/physreve.101.052118

Abstract

We show that Hermitian matrix models support the occurrence of a phase transition characterized by dispersive regularization of the order parameter near the critical point. Using the identification of the partition function with a solution of the reduction of the Toda hierarchy known as the Volterra system, we argue that the singularity is resolved by the onset of a multidimensional dispersive shock of the order parameter in the space of coupling constants. This analysis explains the origin and mechanism leading to the emergence of chaotic behaviors observed in

Item Type: Article
Subjects: F300 Physics
H800 Chemical, Process and Energy Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Elena Carlaw
Date Deposited: 31 Mar 2020 08:49
Last Modified: 08 Jun 2020 10:00
URI: http://nrl.northumbria.ac.uk/id/eprint/42617

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