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Analysis of patterns formed by two-component diffusion limited aggregation
nalysis of patterns two-component diffusion limited aggreg
2010/11/18
We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate o...
Mobility and Diffusion of a Tagged Particle in a Driven Colloidal Suspension
Mobility Diffusion Driven Colloidal Suspension
2010/11/23
We study numerically the in uence of density and strain rate on the diusion and mobility of a single tagged particle in a sheared colloidal suspension. We determine independently the time-dependent v...
We present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot...
Multi-Gaussian modes of diffusion in a quenched random medium
Multi-Gaussian modes of diffusion quenched random medium
2010/11/19
We have studied a model of a random walk in a quenched random environment. In addition to
featuring anomalous diusion and localization, for special regimes of disorder parameters the particle densit...
This paper studies many-server limits for multi-server queues that have a phase-type service time distribution and allow for customer abandonment. The first set of limit theorems is for critically lo...
Non-Parametric Tests of Structure for High Angular Resolution Diffusion Imaging in Q-Space
High Angular Resolution Imaging in Q-Space
2010/11/18
High angular resolution diffusion imaging data is the observed characteristic function for the local diffusion of water molecules in tissue. This data is used to infer structural information in brain...
Models and measures of mixing and effective diffusion
Models and measures mixing and effective diffusion
2010/11/16
Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration vari...
Phase diffusion of a two-component Bose-Einstein condensates: exact and short-time solutions for arbitrary coherent spin state
two-component Bose-Einstein condensates arbitrary coherent spin state
2010/11/23
We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state |θ0, φ0i. Analytical expression of the phase-diffusion time is presented...
The perfect integrator driven by Poisson input and its approximation in the diffusion limit
perfect integrator driven Poisson input approximation diffusion limit
2010/11/15
In this note we consider the perfect integrator driven by Poisson process input. We derive its equilibrium and response properties and contrast them to the approximations obtained by applying the diff...
Ambipolar diffusion in superfluid neutron stars
Solar and Stellar Astrophysics (astro-ph.SR)
2010/12/24
In this paper we reconsider the problem of magnetic field diffusion in neutron star cores. We model the star as consisting of a mixture of neutrons, protons and electrons, and allow for particle react...
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
anomalous diffusion weak ergodicity breaking lipid granules
2010/11/15
Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with complementary analytical results we show evidence for anomalous diffusion a...
High Energy Cosmic-ray Diffusion in Molecular Clouds: A Numerical Approach
High Energy Astrophysical Phenomena (astro-ph.HE)
2010/12/22
The propagation of high-energy cosmic rays through giant molecular clouds constitutes a fundamental process in astronomy and astrophysics. The diffusion of cosmic-rays through these magnetically turbu...
High Energy Cosmic-ray Diffusion in Molecular Clouds: A Numerical Approach
High Energy Astrophysical Phenomena (astro-ph.HE)
2010/12/22
The propagation of high-energy cosmic rays through giant molecular clouds constitutes a fundamental process in astronomy and astrophysics. The diffusion of cosmic-rays through these magnetically turbu...
Holder estimates for advection fractional-diffusion equations
Holder estimates advection fractional-diffusion equations
2010/12/14
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a H¨older continuous solution. In case the diffusion is of order one or more, we obtain H¨older estimates ...
Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bub...