Effect of Elastic Deformations on the Critical Behavior of Three-Dimensional Systems with Long-Range Interaction

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Pade-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points that determine the critical behavior of the system are found. It is shown that the effect of elastic deformations on a system with a long-range interaction causes changes in its critical, as well as multicritical, behavior.Comment: 5 page

Multicritical behaviour of the compressible systems

The behaviour of uniform elastically isotropic compressible systems in critical and tricritical points is described in field-theoretical terms. Renormalizationgroup equations are analyzed for the case of three-dimensional systems in a two-loop approximation. Fixed points corresponding to various types of critical and multicritical behaviour under various macroscopic conditions imposed on the system are distinguished. It is shown that the effect of the elastic deformations on the critical behaviour of compressible systems is significant. It manifests itself both in a change in the critical exponents of Ising magnetic and in the appearance of multicritical points in phase diagrams at any dimension of the order parameter. It is also shown that, in a number of experimental investigations, the multicritical behaviour is not tricritical, as it has been stated, but tetracritical. The influence exerted by elastic deformations on systems with phase diagrams already containing multicritical points is analyzed. It is shown that the effect of elastic deformations leads to a change from bicritical behaviour to a tetracritical one.Comment: 6 page

Influence the effect of long-range interaction on critical behavior of the three-dimentional systems

It Is realized the theoretic - field description of Ising systems behaviour with effect of long-range interaction in two-loop approximation in three-dimensional space with using Pade-Borel resummation technique. The renorm-group equations are analysed and it is chosen fixed points, defining critical behaviour of the system. It Is shown that the influence effect of long-range interaction can bring as to change the mode of the critical behaviour, so and to change the type of the phase transition.Comment: 4 page

Critical Dynamics of Three-Dimensional Spin Systems with Long-Range Interactions

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the relaxation time of the system.Comment: 3 page

Effect of Elastic Deformations on the Critical Behavior of Disordered Systems with Long-Range Interactions

A field-theoretic approach is applied to describe behavior of three-dimensional, weakly disordered, elastically isotropic, compressible systems with long-range interactions at various values of a long-range interaction parameter. Renormalization-group equations are analyzed in the two-loop approximation by using the Pade-Borel summation technique. The fixed points corresponding to critical and tricritical behavior of the systems are determined. Elastic deformations are shown to changes in critical and tricritical behavior of disordered compressible systems with long-range interactions. The critical exponents characterizing a system in the critical and tricritical regions are determined

Effect of Long-Range Interaction on the Critical Behavior of Three-Dimensional Disordered Systems

A field-theoretical description of the behavior of a disordered Ising system with long-range interaction is presented. The description is performed in the two-loop approximation in three dimensions using the Pade-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interaction may cause a change in its critical behavior or smearing of the phase transition.Comment: 3 pages behavior or smearing of the phase transitio

Effect of Elastic Deformations on the Multicritical Behavior of Disordered Systems

A field-theoretical description of the behavior of disordered, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. The description is performed in the two-loop approximation in three dimensions . The renormalization group equations are analyzed, and the fixed points corresponding to different types of multicritical behavior are determined. It is shown that the effect of elastic deformations causes a change in the regime of the tetracritical behavior of disordered systems because of the interaction of the order parameters through the deformation field.Comment: 4 page

Influence of Striction Effects on the Multicritical Behavior of Homogeneous Systems

A field-theoretical description of the behavior of homogeneous, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. For three-dimensional Ising-like systems, a similar description is performed in the two-loop approximation in three dimensions. The renormalization group equations are analyzed, and fixed points corresponding to different types of multicritical behavior are determined. It is shown that the effect of elastic strains causes a change from a bicritical behavior to a tetracritical one and leads to the appearance of a wide variety of multicritical points.Comment: 3 page

Realization logical operation on base of the quantum neuron

Two possible realizations of the formal neuron are considered as quantum system. The first type complies with classical system. The second type vastly increases the possible problems.Comment: 3 page

The algorithm of formation of a training set for an artificial neural network for image segmentation

This article suggests an algorithm of formation a training set for artificial neural network in case of image segmentation. The distinctive feature of this algorithm is that it using only one image for segmentation. The segmentation performs using three-layer perceptron. The main method of the segmentation is a method of region growing. Neural network is using for get a decision to include pixel into an area or not. Impulse noise is using for generation of a training set. Pixels damaged by noise are not related to the same region. Suggested method has been tested with help of computer experiment in automatic and interactive modes