Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation

Details Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation

1995-07-24

arxiv.org/abs/cond-mat/9507099v1

Physics

Condensed Matter

6 pages, 1 file LaTeX2e generating 2 eps-files for 2 figures automatically

Scientific paper

10.1209/0295-5075/32/4/010

We consider the statistical mechanics of a classical particle in a one-dimensional box subjected to a random potential which constitutes a Wiener process on the coordinate axis. The distribution of the free energy and all correlation functions of the Gibbs states may be calculated exactly as a function of the box length and temperature. This allows for a detailed test of results obtained by the replica variational approximation scheme. We show that this scheme provides a reasonable estimate of the averaged free energy. Furthermore our results shed more light on the validity of the concept of approximate ultrametricity which is a central assumption of the replica variational method.

Affiliated with

Also associated with

No associations

Rating

Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102995