Statistical Mechanics of One-Dimensional Ginzburg-Landau Fields

D. J. Scalapino; M. Sears; R. A. Ferrell

doi:10.1103/PhysRevB.6.3409

Statistical Mechanics of One-Dimensional Ginzburg-Landau Fields

D. J. Scalapino, M. Sears, and R. A. Ferrell

Phys. Rev. B 6, 3409 – Published 1 November 1972

Abstract

We have been studying the statistical mechanics of one-dimensional Ginzburg-Landau fields for real, complex, and phase-only fields. Here, results for the specific heat, the order-parameter-order-parameter, and energy-density-energy-density correlation functions, will be presented. Formally, these solutions are of interest because they describe the behavior of systems which are nearly ordered but do not undergo sharp phase transitions. Physically, the real-field results may have application in some organic chain systems, while the complex field and phase-only fields are associated with superconducting strips and linear arrays of coupled weak links, respectively.

Received 16 March 1972

DOI:https://doi.org/10.1103/PhysRevB.6.3409

Authors & Affiliations

D. J. Scalapino^* and M. Sears^*,†

University of California, Santa Barbara, California 93106

R. A. Ferrell^‡

University of Maryland, College Park, Maryland 20742

^*Research supported by AFOSR, under Grant No. 71-2007.
^†This work forms part of a senior project by M. Sears in the College of Creative Studies, University of California, Santa Barbara, Calif.
^‡Research supported by the Office of Naval Research.

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Vol. 6, Iss. 9 — 1 November 1972

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