ar X iv : c on d - m at / 9 60 31 76 v 1 2 8 M ar 1 99 6 Kinetics of a Diffusive Capture Process : Lamb Besieged by a Pride of Lions

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

Kinetics of a diffusive capture process: lamb besieged by a pride of lions

The survival probability, SN(t), of a diffusing prey (‘lamb’) in the proximity of N diffusing predators (a ‘pride of lions’) in one dimension is investigated. When the lions are all to one side of the lamb, the survival probability decays as a non-universal power law, SN(t) ∝ t−βN , with the decay exponent βN proportional to ln N . The crossover behaviour as a function of the relative diffusivi...

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.

Kinetics of a Di usive Capture Process: Lamb Besieged by a Pride of Lions

The survival probability, S N (t), of a diiusing prey (\lamb") in the proximity of N diiusing predators (a \pride of lions") in one dimension is investigated. When the lions are all to one side of the lamb, the survival probability decays as a non-universal power law, S N (t) / t ? N , with the decay exponent N proportional to ln N. The crossover behavior as a function of the relative diiusivit...

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.