Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-03-08
Physics
Condensed Matter
Statistical Mechanics
revtex, 20 pages
Scientific paper
10.1103/PhysRevE.77.016705
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.
Maggs A. C.
Nitti Francesco
Pasquali S.
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