Equation of motion of Sommerfeld sphere in the one-dimensional potential hole, produced by two equal charges fixed at some distance from each other, is numerically investigated. Unusual result is found: due to the fact that sphere gains much more velocity then it should be according to relativistic equation of motion of point charge without radiation force, the sphere on its motion from one wal...

We present a computational approach for the WKB approximation of the wave function of an electron moving in a periodic one-dimensional crystal lattice. We derive a non-strictly hyperbolic system for the phase and the intensity where the flux functions originate from the Bloch spectrum of the Schrödinger operator. Relying on the framework of the multibranch entropy solutions introduced by Brenie...

We derive an approximate solution valid to all orders of h̄ to the Bloch equation for quantum mechanical thermal equilibrium distribution functions via asymptotic analysis for high temperatures and small external potentials. This approximation can be used as initial data for transient solutions of the quantum Liouville equation, to derive quantum mechanical correction terms to the classical hydr...

In this paper a recently developed method is used to calculate the main effects of excluded volume on the distribution of ions around a charged central sphere in thermal equilibrium. The authom find significant corrections to the results of the conventional GouyChapman theory when the electrostatic energy due to the charge ofthe sphere is large compared with the thermal e n q y . The concematio...

We present a versatile density functional approach (DFT) for calculating the depletion potential in general fluid mixtures. For the standard situation of a single big particle immersed in a sea of small particles near a fixed object, the system is regarded as an inhomogeneous binary mixture of big and small particles in the external field of the fixed object, and the limit of vanishing density ...

A square splittered and unsplittered rod is placed in a turbulent boundary layer developed over a flat plate. The effect of the resulting disturbances on the local heat transfer coefficient is then studied. In both cases the square rod modifies the flow structure inside the boundary layer. As a result, a stagnation point, a jet and wake area are generated around the square rod, each making a co...

Introduction: CSCs have been identified in prostate cancer (PCa), one of the most diagnosed malignancies in men over the world, for which radiation resistance is a major problem in the treatment of advanced stages. Cancer stem cells (CSCs) have the ability to self-renew and differentiate to give rise to heterogeneous phenotype of the tumor cells. It is believed that CSCs are ...