Exact velocity of dispersive flow in the asymmetric avalanche process

Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force and the density of particles. The obtained solution shows a dynamical transition from intermittent to continuous flow.Comment: 12 page

Higher Order and boundary Scaling Fields in the Abelian Sandpile Model

The Abelian Sandpile Model (ASM) is a paradigm of self-organized criticality (SOC) which is related to $c=-2$ conformal field theory. The conformal fields corresponding to some height clusters have been suggested before. Here we derive the first corrections to such fields, in a field theoretical approach, when the lattice parameter is non-vanishing and consider them in the presence of a boundary.Comment: 7 pages, no figure

catena-Poly[cobalt(II)-di-μ-chlorido-κ4 Cl:Cl-μ-1,5-dimethyl-1H-tetra­zole-κ2 N 3:N 4]: an X-ray powder investigation

The asymmetric unit of the title compound, [CoCl2(C3H6N4)]n, contains two Co atoms, both lying on inversion centres, two Cl atoms and one 1,5-dimethyl­tetra­zole ligand. The coordination polyhedra of both Co atoms adopt flattened octa­hedral geometry, with two N atoms from two ligands in axial positions and four Cl atoms in equatorial sites. Neighbouring Co atoms are linked together via two bridging Cl atoms and one tetra­zole ring to form polymeric chains running along the a axis

Critical Behavior of the Sandpile Model as a Self-Organized Branching Process

Kinetic equations, which explicitly take into account the branching nature of sandpile avalanches, are derived. The dynamics of the sandpile model is described by the generating functions of a branching process. Having used the results obtained the renormalization group approach to the critical behavior of the sandpile model is generalized in order to calculate both critical exponents and height probabilities.Comment: REVTeX, twocolumn, 4 page

Tetrazoles: Synthesis, Structures, Physico-Chemical Properties and Application

The paper represents a brief review of works published by the authors over a period of 1980-2003 years in the field of synthesis and investigations of properties of tetrazole derivatives. The main attention is given to problems of regioselective functionalization of the tetrazole ring and the development of simple and convenient methods for the synthesis of N- and C-substituted tetrazoles, to peculiarities of structure of crystalline tetrazoles including quaternary salts and complexes with transition metal salts as well as to the data on electronic, spatial structure and energetic characteristics of tetrazoles obtained using both quantum-chemical methods and IR-, XH , 13C and 15N NMR spectroscopy. The features of thermal decomposition and combustion of various tetrazoles and polyvinyltetrazoles determining the prospects of their use as effective components of different kind combustible and thermally decomposing systems, including those capable of liquid-flame combustion, which has been revealed for the first time, are considere

Inversion Symmetry and Critical Exponents of Dissipating Waves in the Sandpile Model

Statistics of waves of topplings in the Sandpile model is analysed both analytically and numerically. It is shown that the probability distribution of dissipating waves of topplings that touch the boundary of the system obeys power-law with critical exponent 5/8. This exponent is not indeendent and is related to the well-known exponent of the probability distribution of last waves of topplings by exact inversion symmetry s -> 1/s.Comment: 5 REVTeX pages, 6 figure

Dynamically Driven Renormalization Group Applied to Sandpile Models

The general framework for the renormalization group analysis of self-organized critical sandpile models is formulated. The usual real space renormalization scheme for lattice models when applied to nonequilibrium dynamical models must be supplemented by feedback relations coming from the stationarity conditions. On the basis of these ideas the Dynamically Driven Renormalization Group is applied to describe the boundary and bulk critical behavior of sandpile models. A detailed description of the branching nature of sandpile avalanches is given in terms of the generating functions of the underlying branching process.Comment: 18 RevTeX pages, 5 figure