arXiv subjects
Publications and source records attributed to V. A. Kalatsky.
We develop continuum field model for crack propagation in brittle amorphous solids. The model is represented by equations for elastic displacements combined with the order parameter equation which accounts for the dynamics of defects. This model captures all important phenomenology of crack propagation: crack initiation, propagation, dynamic fracture instability, sound emission, crack branching and fragmentation.
We report the experimental and theoretical study of electrostatically driven granular material. We show that the charged granular medium undergoes a hysteretic first order phase transition from the immobile condensed state (granular solid) to a fluidized dilated state (granular gas) with a changing applied electric field. In addition we observe a spontaneous precipitation of dense clusters from the gas phase and subsequent coarsening - coagulation of these clusters. Molecular dynamics simulations shows qualitative agreement with experimental results.
Spectra and magnetic properties of large spins $J$, placed into a crystal electric field (CEF) of an arbitrary symmetry point group, are shown to change drastically when $J$ changes by 1/2 or 1. At a fixed field symmetry and configuration of its $N$ extrema situated at $p$-fold symmetry axis, physical characteristics of the spin depend periodically on $J$ with the period equal to $p$. The problem of the spectrum and eigenstates of the large spin $J$ is equivalent to analogous problem for a scalar charged particle confined to a sphere $S^2$ and placed into magnetic field of the monopole with the charge $J$. This analogy as well as strong difference between close values of $J$ stems from the Berry's phase occurring in the problem. For energies close to the extrema of the CEF, the problem can be formulated as Harper's equation on the sphere. The $2J+1$-dimensional space of states is splitted into smaller multiplets of classically degenerated states. These multiplets in turn are splitted into submultiplets of states transforming according to specific irreducible representations of the symmetry group determined by $J$ and $p$. We classify possible configurations and corresponding spectra. Experimental realizations of large spins in a symmetric environment are proposed and physical effects observable in these systems are analyzed.
We predict that large moments $J$, placed into a crystal field with the cubic point symmetry group, differ by their spectrum and magnetic properties. E. g., properties of the odd-integer moments are different from those of the even-integer. The effect is due to Berry's phases gained by the moment, when it tunnels between minima of the external field. Two cases of the group $O$ are classified, namely, 6- and 8-fold coordinations. The spectrum and degeneration of energy levels depend on a remainder $\{J/n\}$, where the divisor $n=4$ and 3 for 6-fold and 8-fold coordination respectively. %High symmetry results in a finite magnetic moment for half-integer %and some integer moments, for example odd $J$ at 6-fold coordination. Large moments in the cubic environment can be realized by diluted alloys ${R}_{1-x}{R}_{x}'$Sb, where R=Lu, La, and R$'$=Tb, Dy, Ho, Er.
It is shown that even for large spins $J$ the fundamental difference between integer and half-integer spins persists. In a quasi-classical description this difference enters via Berry's connection. This general phenomenon is derived and illustrated for large spins confined to a plane by crystalline electric fields. Physical realizations are rare-earth Nickel Borocarbides. Magnetic moments for half-integer spin (Dy$^{3+}$, $J=15/2$) and magnetic susceptibilities for integer spin (Ho$^{3+}$, $J=8$) are calculated. Experiments are proposed to furnish evidence for the predicted fundamental difference.
We present a theory of the magnetic rare-earth nickel boride-carbides (RENi$_2$B$_2$C, RE=Ho, Er, Tm). Large total angular momentum allows one to employ semiclassical approximation and reduce the problem to the four-positional clock model. The latter gives a proper phase diagram in magnetic field-magnetic moment plane for varying directions of in-plane magnetic field. The theory explains recent experimental observations. PACS: 74.72.Ny, 75.30.Cr, 75.30.Kz, 75.10.Dg