#### Document Type

Working Paper

#### Date

1992

#### Embargo Period

9-20-2010

#### Keywords

General Relativity and Quantum Cosmology

#### Language

English

#### Disciplines

Cosmology, Relativity, and Gravity

#### Description/Abstract

We discuss the statistical mechanics of magnetic flux lines in a finite-thickness slab of type-II superconductor. The long wavelength properties of a flux-line liquid in a slab geometry are described by a hydrodynamic free energy that incorporates the boundary conditions on the flux lines at the sample's surface as a surface contribution to the free energy. Bulk and surface weak disorder are modeled via Gaussian impurity potentials. This free energy is used to evaluate the two-dimensional structure factor of the flux-line tips at the sample surface. We find that surface interaction always dominates in determining the decay of translational correlations in the asymptotic long-wavelength limit. On the other hand, such large length scales have not been probed by the decoration experiments. Our results indicate that the translational correlations extracted from the analysis of the Bitter patterns are indeed representative of behavior of flux lines in the bulk.

#### Repository Citation

Tate, Ranjeet S., "An Algebraic Approach to the Quantization of Cosntrained Systems: Finite Dimensional Examples" (1992). *Physics.* Paper 6.

http://surface.syr.edu/phy/6

#### Source

Metdata from Arxiv.org

#### Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.

## Additional Information

124 pages, LaTeX (run twice before printing), SU-GP-92/8-1. (Minor corruption (extra blank line at line 2994) hopefully fixed.) Ph.D. Dissertation.