Vl. V. Papoyan

Abelian sandpile model on the Husimi lattice of square plaquettes

An Abelian sandpile model is considered on the Husimi lattice of square plaquettes. Exact expressions for the distribution of height probabilities in the Self-Organized Critical state are derived. The two-point correlation function for the sites deep inside the Husimi lattice is calculated exactly.An Abelian sandpile model is considered on the Husimi lattice of square plaquettes. Exact expressions for the distribution of height probabilities in the self-organized critical state are derived. The two-point correlation function for the sites deep inside the Husimi lattice is calculated exactly.

DISTRIBUTION OF HEIGHTS IN THE ABELIAN SANDPILE MODEL ON THE HUSIMI LATTICE

An Abelian sandpile model is considered on the Husimi lattice of triangles with an arbitrary coordination number q. Exact expressions for the distribution of height probabilities in the Self-Organized Critical state are derived.

CRITICAL DYNAMICS OF SELF-ORGANIZING EULERIAN WALKERS

The model of self-organizing Eulerian walkers is numerically investigated on the square lattice. The critical exponents for the distribution of a number of steps (

Renormalization group study of sandpile on the triangular lattice

\tau_l

A loop reversibility and subdiffusion of the rotor-router walk

) and visited sites (

Natural MHD oscillations of a neutron star

\tau_s

Quasistatic waves of hydrogravity generated in the galactic interstellar medium by a pulsating neutron star

) characterizing the process of transformation from one recurrent configuration to another are calculated using the finite-size scaling analysis. Two different kinds of dynamical rules are considered. The results of simulations show that both the versions of the model belong to the same class of universality with the critical exponents

Velocities of Magneto-Elastic and Magneto-Electron Waves in Dark Molecular Clouds

\tau_l=\tau_s=1.75\pm 0.1

Rotor-router walk on a semi-infinite cylinder

.

Numerical study of waves of topplings in the Abelian sandpile model

We apply the renormalization group approach to the sandpile on the triangular lattice. The only attractive fixed point is found. The obtained fixed point height probabilities are compared with numerical simulations. The value of critical exponent of avalanche size distribution is found to be τ = 1.36. The probabilities of the sand transition are compared with the branching probabilities of the spanning trees on the triangular lattice which are also evaluated.