1994/03/01 by Silvio Franz, S. Franz, Marc Mézard +1 · 78 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Continuous symmetry #Dynamics (music) #Mean field theory #Particle (ecology) #Phase (matter) #Quantum many-body systems #Replica #Spin glass #Statics #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1016/0378-4371(94)00057-3
published in Physica A Statistical Mechanics and its Applications 210(1-2), 48-72 (Elsevier BV) · LaTeX, LPTENS preprint 94/05
arxiv created 1994/03/01 · openalex publication_date 1994/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a low temperature spin glass phase with continuous replica symmetry breaking. We study the equations of off equilibrium dynamics with analytical and numerical methods. In the spin glass phase, we find that the usual equilibrium dynamics (observed when the observation time is much smaller than the waiting time) coexists with an aging regime. In this aging regime, we propose a solution implying a hierarchy of crossovers between the observation time and the waiting time.