Europhys. Lett.
Volume 66, Number 1, April 2004
Page(s) 118 - 124
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 March 2004
Europhys. Lett., 66 (1) , pp. 118-124 (2004)
DOI: 10.1209/epl/i2003-10142-y

Aging in enumerated spin glass state spaces

S. Schubert and K. H. Hoffmann

Institute of Physics, University of Technology Chemnitz - D-09107 Chemnitz, Germany

(Received 21 November 2003; accepted in final form 30 January 2004)

Aging phenomena are observed in many spin class experiments. Heuristic state space models were presented in the past to reproduce these effects. We here start the investigation by considering the real state space of an Ising spin glass Hamiltonian. A branch-and-bound algorithm is used to find the low-energy part of the state space. We solve the problem of the still huge size of the state space by employing a special coarse-graining algorithm. The system can be reduced to a computational treatable size. We demonstrate that these systems still contain all properties necessary for aging effects.

75.10.Nr - Spin-glass and other random models.
75.40.Mg - Numerical simulation studies.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.

© EDP Sciences 2004