Aging in enumerated spin glass state spaces

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

Received: 21 November 2003
Accepted: 30 January 2004

Abstract

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.