A macroscopically frustrated Ising model

Details A macroscopically frustrated Ising model A macroscopically frustrated Ising model

2000-12-06

arxiv.org/abs/cond-mat/0012089v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, RevTex, 2 ps figures

Scientific paper

10.1103/PhysRevE.63.056109

A disordered spin glass model where both static and dynamical properties depend on macroscopic magnetizations is presented. These magnetizations interact via random couplings and, therefore, the typical quenched realization of the system exhibit a macroscopic frustration. The model is solved by using a revisited replica approach, and the broken symmetry solution turns out to coincide with the symmetric solution. Some dynamical aspects of the model are also discussed, showing how it could be a useful tool for describing some properties of real systems as, for example, natural ecosystems or human social systems.

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