12 research outputs found
Calculation of the tensile and flexural strength of disordered materials using fractional calculus
No full textBrownian flights over a fractal nest and first-passage statistics on irregular surfaces
No full textThe diffusive motion of Brownian particles near irregular interfaces plays a crucial role in various transport phenomena in nature and industry. Most diffusion-reaction processes in confining inter- facial systems involve a sequence of Brownian flights in the bulk, connecting successive hits with the interface (Brownian bridges). The statistics of times and displacements separating two interface encounters are then determinant in the overall transport. We present a theoretical and numerical analysis of this complex first passage problem. We show that the bridge statistics is directly related to the Minkowski content of the surface within the usual diffusion length. In the case of self-similar or self-affine interfaces, we show and we check numerically that the bridge statistics follow power laws with exponents depending directly on the surface fractal dimension
Brownian flights over a fractal nest and first-passage statistics on irregular surfaces.
No full textInternational audienc
Brownian flights over a fractal nest and first-passage statistics on irregular surfaces.
No full textInternational audienc
Estimations of Hölder Regularities and Direction of Singularity by Hart Smith and Curvelet Transforms
No full textGeneralized Fokker-Planck equation for a class of stochastic dynamical systems driven by additive Gaussian and Poissonian fractional white noises of order α
No full textAnalysis of the equilibrium positions of nonlinear dynamical systems in the presence of coarse-graining disturbance in space
No full text
