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Statistics of noncoding RNAs: alignment and secondary structure prediction

S. K. Nechaev 1, 2, 3, M. V. Tamm 4, O. V. Valba 1, 5 Journal of Physics A Mathematical and Theoretical 44 (2011) 195001 A new statistical method of alignment of two heteropolymers which can form hierarchical cloverleaf-like secondary structures is proposed. This offers a new constructive algorithm for quantitative determination of binding free energy of two noncoding RNAs with arbitrary primary sequences. […]

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Statistics of layered zigzags: a two-dimensional generalization of TASEP

Mikhail Tamm 1, Sergei K. Nechaev 2, 3, Satya N. Majumdar 2 Journal of Physics A Mathematical and Theoretical 44 (2011) 012002 A novel discrete growth model in 2+1 dimensions is presented in three equivalent formulations: i) directed motion of zigzags on a cylinder, ii) interacting interlaced TASEP layers, and iii) growing heap over 2D substrate with a restricted minimal local height gradient.

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Statistical distribution of quantum entanglement for a random bipartite state

Celine Nadal 1, Satya N Majumdar 1, Massimo Vergassola 2 Journal of Statistical Physics 142 (2011) 403-438 We compute analytically the statistics of the Renyi and von Neumann entropies (standard measures of entanglement), for a random pure state in a large bipartite quantum system. The full probability distribution is computed by first mapping the problem to a random matrix model and

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Statistical Curse of the Second Half Rank

Jean Desbois 1, Stephane Ouvry 1, Alexios Polychronakos 2 Journal of statistical mechanics-theory and experiment (2011) P01025 In competitions involving many participants running many races the final rank is determined by the score of each participant, obtained by adding its ranks in each individual race. The ‘Statistical Curse of the Second Half Rank’ is the observation that if the score of

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Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field

Pierre Bouillot 1, Corinna Kollath 1, 2, Andreas M. Läuchli 3, Mikhail Zvonarev 4, 5, Benedikt Thielemann 6, Christian Rüegg 7, Edmond Orignac 8, Roberta Citro 9, Martin Klanjsek 10, 11, Claude Berthier 11, Mladen Horvatic 11, Thierry Giamarchi 1 Physical Review B 83 (2011) 054407 We investigate weakly coupled spin-1/2 ladders in a magnetic field. The work is motivated by recent experiments on the compound (C5H12N)2CuBr4 (BPCB). We use a combination of numerical and analytical methods, in particular the density matrix

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Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice

Jean-Sebastien Bernier 1, Guillaume Roux 2, Corinna Kollath 1, 3 Physical Review Letters 106 (2011) 200601 We analyze the effect of a linear time-variation of the interaction strength on a trapped one-dimensional Bose gas confined to an optical lattice. The evolution of different observables such as the experimentally accessible onsite particle distribution are studied as a function of the ramp time using

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Shock statistics in higher-dimensional Burgers turbulence

Pierre Le Doussal 1, Alberto Rosso 2, Kay Jörg Wiese 1 Europhysics Letters 96, 1 (2011) 14005 We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions, with a special class of correlated initial velocities, which reduce to Brownian for D=1. The prediction is based on a field-theory argument, and receives support from our numerical calculations.

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Semiclassical magnetotransport in graphene n-p junctions

Pierre Carmier 1, 2, Caio Lewenkopf 3, Denis Ullmo 1 Physical Review B 84 (2011) 195428 We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. This framework is known to experimentally exhibit conductance plateaus whose origin is still not fully understood. In the magnetic regime (E < vF B), we show the conductance

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Role of the Tracy-Widom distribution in the finite-size fluctuations of the critical temperature of the Sherrington-Kirkpatrick spin glass

Michele Castellana 1, 2, Elia Zarinelli 1 Physical Review B 84 (2011) 144417 We investigate the finite-size fluctuations due to quenched disorder of the critical temperature of the Sherrington-Kirkpatrick spin glass. In order to accomplish this task, we perform a finite-size analysis of the spectrum of the susceptibility matrix obtained via the Plefka expansion. By exploiting results from random matrix

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