The thermodynamic limit and the replica method for short-range random systems
Publication
, Journal Article
Van Hemmen, JL; Palmer, RG
Published in: Journal of Physics A: Mathematical and General
December 1, 1982
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.
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Published In
Journal of Physics A: Mathematical and General
DOI
EISSN
1361-6447
ISSN
0305-4470
Publication Date
December 1, 1982
Volume
15
Issue
12
Start / End Page
3881 / 3890
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
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Van Hemmen, J. L., & Palmer, R. G. (1982). The thermodynamic limit and the replica method for short-range random systems. Journal of Physics A: Mathematical and General, 15(12), 3881–3890. https://doi.org/10.1088/0305-4470/15/12/037
Van Hemmen, J. L., and R. G. Palmer. “The thermodynamic limit and the replica method for short-range random systems.” Journal of Physics A: Mathematical and General 15, no. 12 (December 1, 1982): 3881–90. https://doi.org/10.1088/0305-4470/15/12/037.
Van Hemmen JL, Palmer RG. The thermodynamic limit and the replica method for short-range random systems. Journal of Physics A: Mathematical and General. 1982 Dec 1;15(12):3881–90.
Van Hemmen, J. L., and R. G. Palmer. “The thermodynamic limit and the replica method for short-range random systems.” Journal of Physics A: Mathematical and General, vol. 15, no. 12, Dec. 1982, pp. 3881–90. Scopus, doi:10.1088/0305-4470/15/12/037.
Van Hemmen JL, Palmer RG. The thermodynamic limit and the replica method for short-range random systems. Journal of Physics A: Mathematical and General. 1982 Dec 1;15(12):3881–3890.
Published In
Journal of Physics A: Mathematical and General
DOI
EISSN
1361-6447
ISSN
0305-4470
Publication Date
December 1, 1982
Volume
15
Issue
12
Start / End Page
3881 / 3890
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences