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

BARBIER, DAMIEN; CUGLIANDOLO, LETICIA F; LOZANO, GUSTAVO S; NESSI, NICOLÁS; PICCO, MARCO; TARTAGLIA, ALESSANDRO

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

IOP PUBLISHING LTD

Año: 2019 vol. 52

1751-8113

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.