2006

Constraint Satisfaction by Survey Propagation

A. Braunstein 1, M. Mezard 2, M. Weigt 3, R. Zecchina 1 Computational Complexity and Statistical Physics 107 (2006) part 2 : 4 Survey Propagation is an algorithm designed for solving typical instances of random constraint satisfiability problems. It has been successfully tested on random 3-SAT and random $G(n,\frac{c}{n})$ graph 3-coloring, in the hard region of the parameter space. Here we provide a […]

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Composite fermion theory of rapidly rotating two-dimensional bosons

N. Regnault 1, C. C. Chang 2, Th. Jolicoeur 1, 3, J. K. Jain 2 Journal of Physics B 39 (2006) S89-S99 Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for electrons, can be applied to interacting

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Classical dimers with aligning interactions on the square lattice

Fabien Alet 1, 2, Yacine Ikhlef 2, 3, Jesper Lykke Jacobsen 2, 3, Gregoire Misguich 2, Vincent Pasquier 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 041124 We present a detailed study of a model of close-packed dimers on the square lattice with an interaction between nearest-neighbor dimers. The interaction favors parallel alignment of dimers, resulting in a low-temperature crystalline phase. With large-scale Monte

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Casimir interaction between a plate and a cylinder

T. Emig 1, 2, R. L. Jaffe 3, 4, M. Kardar 4, A. Scardicchio 3, 4 Physical Review Letters 96 (2006) 080403 We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate–sphere, where it is known at large separations. The force has an unexpectedly weak decay \sim L/(H^3 \ln(H/R))

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