Analytical solution of the Monte Carlo dynamics of a simple spin-glass model
Matemáticas, Universidad Carlos III, Butarque 15, Leganés 28911, Madrid, Spain
2 Dipartimento di Fisica, Università di Roma I "La Sapienza", INFN Sezione di Roma I Piazzale A. Moro 2, 00187 Roma, Italy
Accepted: 7 March 1996
In this note we present an exact solution of the Monte Carlo dynamics of the spherical Sherrington-Kirkpatrick spin-glass model. We obtain the dynamical equations for a generalized set of moments which can be exactly closed. Only in a certain particular limit the dynamical equation of the energy coincides with that of the Langevin dynamics.
PACS: 02.70.Lq – Monte Carlo and statistical methods / 64.60.Cn – Order-disorder and statistical mechanics of model systems / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 1996