We prove that a beam of non-quantum particles going through a double-slit may concentrate in some locations while
avoiding others. Their detection shows maxima and minima which do not appear from the interference of some waves,
but are a consequence of the interaction between particles and the screen. The model is an application of cellular
automata. This behaviour is the result of two assumptions: we allow small diffusions on both sides of the main stream of
particles; particles are reflected by the screen as if the obstacle would be a particle supplier. We attempt an explanation
of these results.
We present a discrete model for the motion of a beam of classical particles propagating across a rectangular lattice.
These particles are represented by their classical probabilities to be found in different cells of the lattice. We consider
two kinds of interactions between the particles and the intmvening substance. In free space the particles slightly deviate
fiom a pure forward movement. When they collide with an obstacle, they are elastically reflected. Rather surprisingly,
our simple model predicts a wavy character for the probability profile of this non-quantum particle beam. We observe
maxima and minima under very general conditions. Specifically, particles experience difgaction around obstacles.
These fiinges are not the result of interference of certain waves, but rather of the particle reflections on obstacles, as
well as of the deviations from a pure advancing movement. We study the influence of the dimensions of the source, of
the obstacles and of the interaction between the beam and the screens.
A series RLC electric circuit with the metal-ferroelectric-semiconductor (MFS) heterwdructure playing the role of
nonlinear capacity shows various nonlinear dynamics such as period doubling and Ruelle-Takens scenarios of evolution
to chaos. Experimental investigations and preliminary theoretical analysis on the dynamics of this structure are
considered. We mainly focus on a period-doubhng bifurcation evolution to chaos induced by the change in the
amplitude of a sinusoidal driving with given frequency and by the change in the frequency of driving signal of fixed
amplitude. In this paper we concentrate on an integrated image of these phenomena as reflected in 3D graphs of spectral
analysis. A theoretical model of this MFS structure as nonlinear element of an electrical circuit based on a system of
two coupled nonlinear Duffing oscillators is proposed. Numerical simulations for electrical variables in the circuit were
performed both by specific methods of nonlinear investigations and by 3D plots representing Fourier power spectra as
function of the frequency and the amplitude of the forcing as control parameters. The dynamics of the theoretical model
are in reasonable agreement with the experimental results.
We present theoretical results in modeling ionic inter-diffusion in optical glasses. Several interface phenomena are studied and their influence on the shape and the position of the waveguides is explained. The most important process is re-diffusion. We investigate the influence of the maximum surface concentration, of the clustering and of the time constant for reaching interface equilibrium. Their influence is taken into account by introducing supplementary terms in the inter-diffusion equation or by modifying boundary and initial conditions. All the parameters of the final buried guides depend on surface phenomena. The total amount of ions in the guide, the width at half the maximum, the burying depth and the shape of the profiles depend on surface processes. The influence appears for the mono-mode, as well as for multi-mode structures.
Selective buried waveguides have different regions, lying at various depths under the glass surface. This structure is formed by field-assisted inter-diffusion in an electrically inhomogeneous glass, with an electrical conductivity varying both spatially and in time. We present a simple, preliminary model of such a complex, two-dimensional structure. We explain the assumptions used to obtain a tractable model and discuss them in detail. Our results are illustrated by mono- mode structures, buried under normal electric field intensities. They are in qualitative agreement with experimental measurements. We discuss the improvements of the model, necessary to take into account spatial and temporal variations of glass properties.
We study the phenomena connected with high concentration of incoming ions emerging during field-assisted migration in otpical glass. We find that ion dynamics are very different at concentrations higher and lower than a certain parameter called the transition concentration. To explain anomalies at high ionic concentrations, we introduce a supplementary local electric field. This field opposes to the field E0 existing in the glass at all concentrations of incoming ions and is connected with a local space charge. We investigate its dependence on concentration and on E0. These effects are studied using a model with concentration-dependent diffusion coefficients and mobilities. We present a method to obtain the concentration dependence of the relevant quantities. Theoretical curves are compared with experimental results measured in usual silicate glasses, during Ag+-Na+ exchanges.
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