Long Range Order for Lattice Dipoles

Riken-bnl Preprint Long–range Interactions of Small Color Dipoles

We study the scattering of small color dipoles (e.g., heavy quarkonium states) at low energies. We find that even though the couplings of color dipoles to the gluon field can be described in perturbation theory, at large distances the interaction becomes totally non–perturbative. The structure of the scattering amplitude, however, is fixed by the (broken) chiral and scale symmetries of QCD; the...

Long-range Lattice-Gas Algorithm

Presented is a novel algorithmic method for simulating complex fluids, for instance multiphase single component fluids and molecular systems. The algorithm falls under a class of single-instruction multiple-data computation known as lattice-gases, and therefore inherits exact computability on a discrete spacetime lattice. Our contribution is the use of nonlocal interactions that allow us to mod...

Lattice of Partly Permanent Dipoles

Oo-diagonal-long-range-order and Meissner Eeect for Lattice Systems

In this work, we study some general property of a strongly correlated electron system deened on a lattice. Assuming that the system exhibits oo-diagonal-long-range-order, we show that this assumption implies the Meissner eeect. This extends to lattice systems previous results obtained for the continuous case.

Long-range percolation on the hierarchical lattice

We study long-range percolation on the hierarchical lattice of order N , where any edge of length k is present with probability pk = 1 − exp(−β−kα), independently of all other edges. For fixed β, we show that αc(β) (the infimum of those α for which an infinite cluster exists a.s.) is non-trivial if and only if N < β < N. Furthermore, we show uniqueness of the infinite component and continuity o...