2011

Characterizing order in amorphous systems

François Sausset 1, 2, Dov Levine 1 Physical Review Letters 107 (2011) 045501 We measure and compare three correlation lengths proposed to describe the extent of structural order in amorphous systems. In particular, the recently proposed ‘patch correlation length’ is measured as a function of temperature and fragility and shown to be comparable with other measures. In addition, we demonstrate

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Casimir force between sharp-shaped conductors

Mohammad F. Maghrebi 1, Sahand Jamal Rahi 1, 2, Thorsten Emig 3, Noah Graham 4, Robert L. Jaffe 1, Mehran Kardar 1 Proceeding of the national academy of sciences 108 (2011) 6867-6871 Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and approximations cannot deal with realistic

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Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance

J. Levinsen 1, 2, D. S. Petrov 1, 3 European Physical Journal D 65 (2011) 67-82 We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound dimer. The fermionic statistics of atoms and the composite nature

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Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications

Aurelien Decelle 1, Florent Krzakala 2, Cristopher Moore 3, 4, Lenka Zdeborová 5 Physical Review E 84 (2011) 066106 In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We use the cavity method of statistical

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Algebraic and arithmetic area for $m$ planar Brownian paths

Jean Desbois 1, Stephane Ouvry 1 Journal of statistical mechanics-theory and experiment (2011) P05024 The leading and next to leading terms of the average arithmetic area $< S(m)>$ enclosed by $m\to\infty$ independent closed Brownian planar paths, with a given length $t$ and starting from and ending at the same point, is calculated. The leading term is found to be

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Adversarial Satisfiability Problem

Michele Castellana 1, 2, Lenka Zdeborová 3 Journal of statistical mechanics-theory and experiment (2011) P03023 We study the adversarial satisfiability problem, where the adversary can choose whether variables are negated in clauses or not in order to make the resulting formula unsatisfiable. This is one case of a general class of adversarial optimization problems that often arise in practice and

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A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix

Celine Nadal 1, Satya N. Majumdar 1 Journal of statistical mechanics-theory and experiment (2011) P04001 In this paper, we first briefly review some recent results on the distribution of the maximal eigenvalue of a $(N\times N)$ random matrix drawn from Gaussian ensembles. Next we focus on the Gaussian Unitary Ensemble (GUE) and by suitably adapting a method of orthogonal

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