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