Divergence of Casimir stress in inhomogeneous media
نویسندگان
چکیده
منابع مشابه
Casimir stress in an inhomogeneous medium
The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz’s theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by homogeneous dielectrics. The result for the Casimir stress is infinite everywhere inside the inhomogeneous region, a divergence that does not occur for piece-wi...
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Casimir forces arise from vacuum fluctuations. They are fully understood only for simple models, and are important in nanoand microtechnologies. We report our experience of computer algebra calculations towards the Casimir force for models involving inhomogeneous dielectrics. We describe a methodology that greatly increases confidence in any results obtained, and use this methodology to demonst...
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چکیده ندارد.
Branching diffusion in inhomogeneous media
We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. In the super-critical regime, we describe the asymptotics of the number of particles in a given domain. In the sub-critical and critical regimes, we describe the distribut...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2013
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.87.043806