Radiation Forces in Inhomogeneous Media

The computation of Casimir forces for inhomogeneous planar media

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...

Towards the Calculation of Casimir Forces for Inhomogeneous Planar Media

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...

Internal Forces in Piles “Under External Forces and Earthquake in Homogeneous and Nonhomogeneous Media”

Internal Forces in Piles “Under External Forces and Earthquake in Homogeneous and Nonhomogeneous Media”

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...