English

Pre-asymptotic dynamics of the infinite size Neumann (p=2 spherical) model

Statistical Mechanics 2020-01-08 v1

Abstract

In this contribution we further study the classical disordered p=2 spherical model with Hamiltonian dynamics, or in integrable systems terms, the Neumann model, in the infinite size limit. We summarise the asymptotic results that some of us presented in a recent publication, and we deepen the analysis of the pre-asymptotic dynamics. We also discuss the possible description of the asymptotic steady state with a Generalised Gibbs Ensemble.

Keywords

Cite

@article{arxiv.1902.06516,
  title  = {Pre-asymptotic dynamics of the infinite size Neumann (p=2 spherical) model},
  author = {Damien Barbier and Leticia F. Cugliandolo and Gustavo S. Lozano and Nicolas Nessi and Marco Picco and Alessandro Tartaglia},
  journal= {arXiv preprint arXiv:1902.06516},
  year   = {2020}
}

Comments

Submitted to the J. Phys. A special volume: "Disordered serendipity: a glassy path to discovery" (workshop in honour of Giorgio Parisi's 70th birthday, Roma 2018)