[en] Published in summary form only

[en] Industrial interactions have demonstrated that the appeal of Plasma Source Ion Implantation (PSH) as a surface modification technique stems from several reasons including: its non-line-of-sight nature, low processing temperatures, retention of dimensional integrity and surface finish, and environmental cleanliness. However for many high stress or high temperature industrial applications, the implanted layer may be too thin to provide sustained wear resistance. In some instances this problem may be overcome by depositing overlay coatings with a degree of mixing at the interface that provides enhanced adhesion. Industrial field testing activities have demonstrated that in identifying appropriate applications for PSII, factors such as damage mechanisms, stresses, temperatures, part chemistry, operating environmental conditions, part cost vs desired improvement factor, and the viability of other surface modification processes, should-be taken into account. With these issues in mind, the authors will present the results of industrial field testing of PSII treated parts along with their understanding of surface microstructural changes that play a role in the performance of PSII treated parts

[en] An experimental technique is developed to study acoustic transmission in one and two dimensional modulated structures by employing third sound of a superfluid helium film. In particular, the Penrose lattice, which is a two dimensional quasiperiodic structure, is studied. In two dimensions, the scattering of third sound is weaker than in one dimension. Nevertheless, the authors find that the transmission spectrum in the Penrose lattice, which is a two dimensional prototype of the quasicrystal, is observable if the helium film thickness is chosen around 5 atomic layers. The transmission spectra in the Penrose lattice are explained in terms of dynamical theory of diffraction

[en] We present here exact analytic results for a random walk on a one-dimensional lattice with asymmetric, exponentially distributed jump probabilities. We derive the generating functions of such a walk for a perfect lattice and for a lattice with absorbing boundaries. We obtain solutions for some interesting moment properties, such as mean first passage time, drift velocity, dispersion, and branching ratio for absorption. The symmetric exponential walk is solved as a special case. The scaling of the mean first passage time with the size of the system for the exponentially distributed walk is determined by the symmetry and is independent of the range

[en] We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent monodromy matrix identities so as to obtain equations in dual variables for yet other operators. The schemes discussed in this paper appear to be universal and thus, in principle, applicable to many models solvable through the quantum separation of variables

[en] The results of the numerical investigation of mass-transfer processes of extensive quasi-two-dimensional and three-dimensional nonideal dissipative systems are presented. Simulations were performed for different types of model pair potentials for inter-grain interaction that had various combinations of power-law and exponential functions. The parameters of calculations corresponded to the conditions of laboratory dusty plasma experiments. It was shown that the dynamics of grains in nonideal liquid-like systems on short observation times is close to the evolution of thermal oscillations in the crystal lattice

[en] The behaviour of a number of different molecular solids (both neutral and charged) to applied pressure is discussed. It is shown that the geometry of the molecules, the presence of and number of charges, and the ability of the molecules to alter their shape are all important in the response of their respective lattices to applied pressure. The presence of 'free' space in the lattices at room pressure is shown to be a major factor that needs to be taken into account in order to understand their behaviour.

[en] In this paper we prove that the periodic Toda lattice admits globally defined Birkhoff coordinates

[en] For microstructures of the ''cellular'' type (isotropic growth from a distribution of nuclei which form simultaneously), it is possible to construct an efficient code which will completely analyze the microstructure in three dimensions. Such a computer code for creating and storing the connected graph was constructed

[en] We discuss the implementation of the Real Space Renormalization Group Decimation Technique for 1-d tight-binding models with long range interactions with or without disorder and for the 2-d regular square lattice. The procedure follows the ideas developed by Southern et al. Some new explicit formulae are included. The purpose of this study is to calculate spectra and densities of states following the procedure developed in our previous work. (author)