The thermodynamic limit of the quenched free energy of magnetic systems with random interactions
- 1 January 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (1) , L51-L54
- https://doi.org/10.1088/0305-4470/15/1/011
Abstract
Assuming translational invariance and random interaction with zero mean value, the author shows that the thermodynamic limit of the quenched free energy of a disordered magnetic system exists if the annealed free energy also exists. For a Hamiltonian with pair interactions and a class of even distribution functions the limit exists if the interaction potential is square summable.Keywords
This publication has 5 references indexed in Scilit:
- On the connection between spin glasses and gauge field theoriesPhysics Reports, 1980
- Upper bounds on the quenched free energy of magnetic systems with random interactionsPhysics Letters A, 1980
- Existence of free energy for models with long-range random HamiltoniansJournal of Statistical Physics, 1979
- Thermodynamics of quenched random spin systems, and application to the problem of phase transitions in magnetic (spin) glassesJournal of Physics A: General Physics, 1977
- Statistical Mechanical Theory of a Random Ferromagnetic SystemPhysical Review B, 1959