Tutte chromatic identities from the Temperley-Lieb algebra

(2007)

Authors:

Paul Fendley, Vyacheslav Krushkal

The interplay between hydrodynamic and Brownian fluctuations in sedimenting colloidal suspensions

(2007)

Authors:

JT Padding, AA Louis

A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field

ArXiv 0710.0976 (2007)

Authors:

Ludovic DC Jaubert, JT Chalker, Peter CW Holdsworth, R Moessner

Abstract:

We examine the statistical mechanics of spin-ice materials with a [100] magnetic field. We show that the approach to saturated magnetisation is, in the low-temperature limit, an example of a 3D Kasteleyn transition, which is topological in the sense that magnetisation is changed only by excitations that span the entire system. We study the transition analytically and using a Monte Carlo cluster algorithm, and compare our results with recent data from experiments on Dy2Ti2O7.

Effect of Landau Level Mixing on Braiding Statistics

(2007)

Competitive agents in a market: Statistical physics of the minority game

PHYSICA A 384:1 (2007) 128-132

Abstract:

A brief review is presented of the minority game, a simple frustrated many-body system stimulated by considerations of a market of competitive speculative agents. Its cooperative behaviour exhibits phase transitions and both ergodic and non-ergodic regimes. It provides novel challenges to statistical physics, reminiscent of those of mean-field spin glasses. (C) 2007 Elsevier B.V. All rights reserved.