Macroscopically frustrated Ising model
Abstract
A disordered spin-glass model in which 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 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 describing some properties of real systems such as, for example, natural ecosystems or human social systems.
- Publication:
-
Physical Review E
- Pub Date:
- May 2001
- DOI:
- 10.1103/PhysRevE.63.056109
- arXiv:
- arXiv:cond-mat/0012089
- Bibcode:
- 2001PhRvE..63e6109P
- Keywords:
-
- 02.50.Ey;
- 05.45.-a;
- 89.70.+c;
- Stochastic processes;
- Nonlinear dynamics and chaos;
- Information theory and communication theory;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 15 pages, RevTex, 2 ps figures