ar X iv : c on d - m at / 9 60 31 20 v 1 1 6 M ar 1 99 6 Transport in Sand Piles , Interface Depinning , and Earthquake Models

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : c on d - m at / 9 60 31 71 v 1 2 7 M ar 1 99 6 Effect of noise for two interacting particles in a random potential

We investigated the effect of noise on propagation of two interacting particles pairs in a quasi one–dimensional random potential. It is shown that pair diffusion is strongly enhanced by short range interaction comparing with the non–interacting case.

ar X iv : c on d - m at / 9 60 31 41 v 1 2 1 M ar 1 99 6 March 1996 A remark on off - diagonal long - range order

In this work, we study some general property of a strongly correlated electron system defined on a lattice. Assuming that the lattice system exhibits off-diagonal long-range order, we show rigorously that this assumption would lead to Meissner effect. This generalizes previous results of continuous case to a lattice electron system.

ar X iv : c on d - m at / 9 60 31 37 v 1 2 0 M ar 1 99 6 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.

ar X iv : c on d - m at / 9 60 31 30 v 1 1 9 M ar 1 99 6 Randomly connected cellular automata : A search for critical connectivities

I study the Chaté–Manneville cellular automata rules on randomly connected lattices. The periodic and quasi–periodic macroscopic behaviours associated with these rules on finite–dimensional lattices persist on an infinite– dimensional lattice with finite connectivity and symmetric bonds. The lower critical connectivity for these models is at C = 4 and the mean–field connectivity, if finite, is ...