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Issue 3/2011ABSTRACTS:UDK 530.145; 514.764; 530.145.7 A MODIFIED METHOD FOR DERIVING SELF-CONJUGATE DIRAC HAMILTONIANS IN ARBITRARY GRAVITATIONAL FIELDS AND ITS APPLICATION TO CENTRALLY AND AXIALLY SYMMETRIC GRAVITATIONAL FIELDS / M. V. Gorbatenko, V. P. Neznamov // Р. 3 We have proposed previously a procedure for constructing self-conjugate Hamiltonians Hη in the η-representation with flat scalar product to describe the dynamics of Dirac particles in arbitrary gravitational fields. In this paper, we prove that for block-diagonal metrics the quantities Hη can be obtained, in particular, using «reduced» parts of Dirac Hamiltonians, i.e. expressions for Dirac Hamiltonians derived at use of tetrad vectors in the Schwinger gauge without or with small numbers of summands with bispinor connectivities. With a glance of these results we propose the modified method of construction of Hamiltonians in the η-representation with a significantly smaller amount of required calculations. Using the proposed procedure, in this paper we for the first time find self-conjugate Hamiltonians for a number of metrics, including the Kerr metric in coordinates of the Boyer-Lindquist, the Eddington-Finkelstein, Finkelstein-Lemaitre, Kruskal metrics, and metrics of the Clifford torus geometry. UDK 538.971 ALGORITHM FOR DETECTION AT THE ATOMIC LEVEL VACANCY PORE AND DESCRIPTION OF ITS FORM / A. I. Kul’ment’ev // Р. 22 The method allowing in a sequential multi-level simulation of reactor materials to detect the emergence of compact clusters of atoms with broken crystallinity, to determine the outer boundary of this defect cluster and to measure its coefficient of compactness is proposed. This allows to distinguish the radiation-induced structural defects on the basis of vacancy or interstitial type. Also an efficient algorithm for measuring the shape of an arbitrary atomic formation is proposed. Computer simulation of the collapse process of the initially spherical pore is performed. Dependences of the shape parameters of the pore on the compression coefficient are obtained and compared with those derived analytically. It is shown that this method may be used for determination of the pore collapse phase and for prediction of the direction of the pore most probable future evolution. UDK 539.3 ENERGY TRANSFER RATE SHEAR WAVES PROPAGATING IN GRADIENT-ELASTIC MATERIAL / S. I. Gerasimov, T. S. Denisovа, V. I. Erofeyev // Р. 37Obtained and analyzed relationships between the group velocity and rate of energy transfer shear wave propagating in a nonlinear gradient-elastic material. UDK 523.44 ELIMINATING THE THREAT OF COLLISION OF THE ASTEROID APOPHIS WITH EARTH USING A NUCLEAR EXPLOSION / A. K. Shanenko // Р. 42 The possibility of pushing the asteroid Apophis by a nuclear explosion if there were risk of its collision with Earth is discussed. The energy release of a nuclear charge for deflecting the dangerous space object to a certain distance (3 to 5 Earth radii) from the point of its collision with our planet or to cause its fragmentation was estimated. Note that the energy levels required for deflecting the trajectory are comparatively small (units of kilotons). These estimates show that the asteroid can be destroyed with a small part of explosion energy, so it is impossible to deflect the trajectory of the asteroid as a whole object. The cloud of fragments of Apophis produced as a result of blowing it up will become larger that a million kilometers in radius in seven years and will pose almost no threat to Earth. UDK 539.3; 539.42 CLUSTER DYNAMICS SIMULATIONS OF HIGH-STRAIN-RATE DEFORMATION PROCESSES. DESCRIPTION OF MATERIAL PHYSICAL AND MECHANICAL RESPONSE AND TEST SIMULATIONS / I. A. Davydov, V. N. Piskunov, R. A. Veselov, S. V. Kopkin, D. V. Tsaplin // Р. 49 This paper discusses simulation results and examples of practical application of the cluster dynamics method. The paper presents the results of test simulations for plane shock propagation through matter, high-speed projectile penetration, ejecta and jetting on shock breakout on the profiled material surface. A brief overview of the software suites, in which the cluster dynamics method has already been implemented, is provided. UDK 532.593+523.4+536.41+539.89 SHOCK COMPRESSION OF POROUS METALS AND SILICATES. POSSIBLE ANOMALY OF UPPER MANTLE OF EARTH / A. B. Medvedev, R. F. Trunin // Р. 68 A review is given for the results of experimental studies on shock compression of porous metals in laboratory-like environments and at subsurface nuclear explosions. General properties of shock adiabats have been considered. A set of tests is described by the help of a rather simple wide-range equation of state. The regularities of the behavior of porous metals and silicates have been correlated at shock compression. They differ from one another qualitatively in a wide pressure range (~several tens GPa). Atypical behavior of silicates might be explained through realization of states of substances having negative values of Gruneisen coefficient at increased pressures and temperatures. It has been proposed hypothetically that a similar anomaly is the cause of an intense density increase in the upper Earth mantle. UDK 533.95: 537.84, 537.811 THE DYNAMICS OF RELATIVISTIC ELECTRONS GENERATED BY A LOCAL SOURCE IN MAGNETO-PLASMA TRAP / I. M. Anisina, V. P. Bashurin, V. A. Zhmailo, A. E. Shirokov // Р. 94 The paper discusses the confinement problem of relativistic electrons from a source located in a magnetic trap with axial symmetry, which is generated owing to the plasma cloud expanding in external magnetic field. The efficiency of such trap has been estimated for a number of model problems and it has been shown that the self-magnetic field generated by the currents of relativistic electrons increases the electron confinement efficiency. |
