The thermodynamic limit and the replica method for short-range random systems
Journal Article (Journal Article)
Short-range spin systems with random interactions are considered. A simple proof is given showing that the free energy of almost every sample converges to the average free energy in the thermodynamic limit. A stronger criterion, thermodynamic convergence, is also demonstrated. This implies that the N to infinity and n to 0 limits may be interchanged in the replica method. © 1982 The Japan Society of Applied Physics.
Full Text
Duke Authors
Cited Authors
- Van Hemmen, JL; Palmer, RG
Published Date
- December 1, 1982
Published In
Volume / Issue
- 15 / 12
Start / End Page
- 3881 - 3890
Electronic International Standard Serial Number (EISSN)
- 1361-6447
International Standard Serial Number (ISSN)
- 0305-4470
Digital Object Identifier (DOI)
- 10.1088/0305-4470/15/12/037
Citation Source
- Scopus