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

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 41 18 v 1 1 6 A pr 1 99 6 Entangled Polymer Rings in 2 D and Confinement

The statistical mechanics of polymer loops entangled in the two-dimensional array of randomly distributed obstacles of infinite length is discussed. The area of the loop projected to the plane perpendicular to the obstacles is used as a collective variable in order to re-express a (mean field) effective theory for the polymer conformation.

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 51 41 v 1 2 2 M ay 1 99 6 Spread width for two interacting particles in one - dimensional random potential

For two interacting particles (TIP) in one-dimensional random potential the dependence of the spread width Γ, the local density of states and the TIP localization length on system parameters is determined analytically. The theoretical predictions for Γ are confirmed by numerical simulations.