Aging in the one-dimensional Ising model with Glauber dynamics
Física Teórica, Facultad de Física, Universidad
de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, Spain
2 Escuela Politécnica Superior, Universidad de Huelva, E-21819 La Rábida, Huelva, Spain
Accepted: 25 August 1997
We study the zero-temperature limit of the one-dimensional Ising model with nearest-neighbor interactions and Glauber dynamics. An exact evolution equation is derived for the spin-spin two-time correlation functions following an instantaneous quench from equilibrium at low temperature. In the limit of long waiting times the correlations become independent of the distance and reduce to the autocorrelation function, which exhibits aging, i.e. it decays over a time which scale with the waiting time.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 05.70.Ln – Nonequilibrium thermodynamics; irreversible processes / 81.40.Cd – Solid solution hardening, precipitation hardening, and dispersion hardening; aging
© EDP Sciences, 1997