Numerical methods for fluctuation driven interactions between dielectrics
Statistical Mechanics
2009-11-13 v2 Soft Condensed Matter
Computational Physics
Quantum Physics
Abstract
We develop a discretized theory of thermal Casimir interactions to numerically calculate the interactions between fluctuating dielectrics. From a constrained partition function we derive a surface free energy, while handling divergences that depend on system size and discretization. We derive analytic results for parallel plate geometry in order to check the convergence of the numerical methods. We use the method to calculate vertical and lateral Casimir forces for a set of grooves.
Keywords
Cite
@article{arxiv.cond-mat/0703229,
title = {Numerical methods for fluctuation driven interactions between dielectrics},
author = {S. Pasquali and F. Nitti and A. C. Maggs},
journal= {arXiv preprint arXiv:cond-mat/0703229},
year = {2009}
}
Comments
revtex, 20 pages