Fluctuation-induced interactions between dielectrics in general geometries
arXiv:0704.2171 · doi:10.1063/1.2949508
Abstract
We study thermal Casimir and quantum non-retarded Lifshitz interactions between dielectrics in general geometries. We map the calculation of the classical partition function onto a determinant which we discretize and evaluate with the help of Cholesky factorization. The quantum partition function is treated by path integral quantization of a set of interacting dipoles and reduces to a product of determinants. We compare the approximations of pairwise additivity and proximity force with our numerical methods. We propose a ``factorization approximation'' which gives rather good numerical results in the geometries that we study.
References in corpus (10)
- The `Friction' of Vacuum, and other Fluctuation-Induced Forces
- Casimir effect for curved geometries: PFA validity limits
- The Casimir Effect and Geometric Optics
- Geometry and Spectrum of Casimir Forces
- Non perturbative approach to Casimir interactions in periodic geometries
- Higher order and infinite Trotter-number extrapolations in path integral Monte Carlo
- Simulating nanoscale dielectric response
- Lifshitz Interaction between Dielectric Bodies of Arbitrary Geometry
- Numerical methods for fluctuation driven interactions between dielectrics
- Numerical studies of Casimir interactions
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- Fluctuating Surface Currents: A New Algorithm for Efficient Prediction of Casimir Interactions among Arbitrary Materials in Arbitrary Geometries. I. Theory
- Computing Coulomb Interaction in Inhomogeneous Dielectric Media via a Local Electrostatics Lattice Algorithm
- Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise
- Solving Fluctuation-Enhanced Poisson-Boltzmann Equations
- A diagrammatic expansion of the Casimir energy in multiple reflections: theory and applications
- Out of equilibrium thermal Casimir effect in a model polarizable material
- Casimir effect with machine learning
- Implications of the Babinet Principle for Casimir Interactions