Determining Pair Interactions from Structural Correlations
Muhittin Mungan, Chorng-Haur Sow, Susan N. Coppersmith,
and David G. Grier
Phys. Rev. B 58, 14588 (1998)
We examine metastable configurations of a
two-dimensional system of interacting particles
on a quenched random potential landscape and ask how the configurational
pair correlation function is related to the particle interactions
and the statistical properties of the potential landscape.
Understanding this relation facilitates
quantitative studies of magnetic flux line interactions in
type II superconductors, using structural information available
from Lorentz microscope images or Bitter decorations.
Previous work by some of us supported the conjecture that
the relationship between pair correlations and interactions in
pinned flux line ensembles is analogous to the corresponding
relationship in the theory of simple liquids.
The present paper
aims at a more thorough understanding of this relation. We report
the results of numerical simulations and present a theory for the
low density behavior of the pair correlation function which agrees
well with our simulations and captures features
observed in experiments. In particular, we find
that the resulting description goes beyond the conjectured classical liquid
type relation and we remark on the differences.
David G. Grier