Macroscopically frustrated Ising model - art. no. 056109

A disordered spin-glass model in which both static and dynamical properties depend on macroscopic magnetizations is presented. These magnetizations in teract via random couplings and, therefore, the typical quenched realizatio n of the system exhibits 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 describ ing some properties of real systems such as, for example, natural ecosystem s or human social systems.