Numerical simulations of the dynamical behavior of the SK model

E. Marinari; G. Parisi; D. Rossetti

doi:10.1007/s100510050273

EPJ

Numerical simulations of the dynamical behavior of the SK model

E. Marinari¹, G. Parisi² and D. Rossetti³^a

¹ Dipartimento di Fisica and Infn, Università di Cagliari, Via Ospedale 72, 09100 Cagliari, Italy
² Dipartimento di Fisica and Infn, Università di Roma, La Sapienza, P.A. Moro 5, 00185 Roma, Italy
³ Infn, Sezione di Roma 1, P.A. Moro 5, 00185 Roma, Italy

Received: 14 August 1997
Revised: 2 December 1997
Accepted: 30 January 1998
Published online: 15 April 1998

Abstract

We study the dynamical behavior of the Sherrington Kirkpatrick model. Thanks to the APE supercomputer we are able to analyze large lattice volumes, and to investigate the low T region. We present a new and precise determination of the remnant magnetization and of its time decay exponent, of the energy time decay exponent, and we discuss aging phenomena in the model. We exclude validity of naive aging, and propose different options that fit the numerical data.

PACS: 75.10.-b – General theory and models of magnetic ordering / 75.50.-y – Studies of specific magnetic materials