Statistical Mechanics of One-Dimensional Ginzburg-Landau Fields: II. A Test of the Screening Approximation (n-1 Expansion).
Abstract
The report concerns the classical statistical mechanics of an n-dimensional order parameter which exists in one spatial dimension. This many-body (field) problem was reduced to a quantum mechanical one-body problem which was solved numerically. It, therefore, provides a convenient testing ground for studying the convergence as well as understanding the nature of approximations used for higher spatial dimensions. It is shown how the results for finite n converge toward the n = infinity answer. In addition, the authors investigated the (1/n) expansion by computing the first and second order corrections to the n = infinity result.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0769854
Entities
People
- Douglas J. Scalapino
- Richard A. Ferrell
Organizations
- University of Maryland