‘Fluffy’ hydrogenated amorphous carbon (a-C:H) was synthesized using a dielectric barrier discharge plasma, driven by nanosecond high-voltage pulses at 1 kHz frequency in a helium–butane mixture [1,2,3]. The a-C:H samples were characterized by various microscopy and spectroscopic techniques. The results show that a-C:H samples exhibit infrared absorption features that closely match those...
A coupled extension of the first multiplicative Bogoyavlensky equation is analyzed using the Hirota bilinear formalism. Considering an appropriate substitution, we first construct the Hirota bilinear form. Once we coupled semidiscrete system is written in terms of the Hirota operator, we construct the 3-soliton solutions. The existance of the multi-soliton solutions, obtained via...
In this presentation, we explore the classical and quantum descriptions of the Kapitza-Dirac effect: the scattering of particles, such as electrons or atoms, by a standing wave electromagnetic field. In the classical case we integrate the equation of motion, both in its exact form and using the ponderomotive approximation, for a statistical ensemble of electrons. We present graphical...
In our paper we have studied the transport of particles moving in a sheared stochastic magnetic field considering also the particle collisions. The transport is influenced by the collisional Kubo number and the shear Kubo number that gives an asymmetry of the trajectories. We have studied only a few cases given by the collisional Kubo number and different values of the shear Kubo. An analogy...
On the squares of two lattices, square and 4-8 lattice, besides the interactions between nearest neighbour spins, additional diagonal and four-spin interactions are present. Under some restrictions, by introducing central decorating spins on each square, the square lattice is transformed to another square lattice, while the 4-8 model becomes a square lattice with decorated bonds. Exact...
The paper presents both monographic aspects and new results on how a given nonlinear differential equation can be generalized to an equation with stronger nonlinearities but with an imposed class of solutions. More precisely we are considering a general form of 2D reaction-diffusion equation and, by imposing a pre-defined class of symmetry, we are obtaining the most general equations from the...
The paper proposes an exhaustive investigation of how different analytical methods can be applied to solve nonlinear fractional differential equations. The considered dynamical system is described by the Chafee-Infante fractional equation. We will review the approaches that have been used previously, with a focus on two general approaches introduced quite recently by our group. One of them is...
The regime of the tokamak plasma that is relevant for the achievement of thermonuclear fusion strongy exhibits interplay between turbulence and structures. The complexity of the relation between edge and the core regions is underlined by the turbulence inward spreading from the region near the Last Closed Magnetic Surface. It has been observed that structures consisting of pairs of blobs and...
The evolution of turbulence in magnetically confined plasmas is a complex problem that is not completely understood in spite of a huge amount of work. Low-frequency drift type turbulence, which has a significant influence on fusion plasma confinement, is analyzed here with the aim of understanding the memory effects on turbulence evolution.
We present a theoretical study based on a...
