Method of calculating densities for isotropic Lévy walks

Lévy searches based on a priori information: The Biased Lévy Walk

Searching for objects with unknown locations based on random walks can be optimized when the walkers obey Lévy distributions with a critical exponent. We consider the problem of optimizing statistical searches when a priori information, such as location densities, are known. We consider both spatially dependent exponents and biased search directions. For spatially localized target distributions...

Perturbative Approach to Calculating the Correlation Function of bi-isotropic Metamaterials

A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...

Investigation into the temperature dependence of isotropic- nematic phase transition of Gay- Berne liquid crystals

Density functional approach was used to study the isotropic- nematic (I-N) transition and calculate the values of freezing parameters of the Gay- Berne liquid crystal model. New direct and pair correlation functions of a molecular fluid with Gay- Berne pair potential were used. These new functions were used in density functional theory as input to calculate the isotropic- nematic transition den...

On a fluctuation identity for random walks and Lévy processes

We extend and unify some identities in law involving ladder processes for random walks and Lévy processes.

A Brief Survey of Lévy Walks with applications to probe diffusion