The state space of short-range Ising spin glasses: the density of states

Details The state space of short-range Ising spin glasses: the density of states The state space of short-range Ising spin glasses: the density of states

1997-10-15

arxiv.org/abs/cond-mat/9710146v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages (including 6 figures); submitted to Z.f.Physik B

Scientific paper

10.1007/s100510050254

The state space of finite square and cubic Ising spin glass models is analysed in terms of the global and the local density of states. Systems with uniform and gaussian probability distribution of interactions are compared. Different measures for the local state density are presented and discussed. In particular the question whether the local density of states grows exponentially or not is considered. The direct comparison of global and local densities leads to consequences for the structure of the state space.

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