2010

Hitting probability for anomalous diffusion processes

Satya N. Majumdar 1, Alberto Rosso 1, Andrea Zoia 2 Physical Review Letters 104 (2010) 020602 We present the universal features of the hitting probability $Q(x,L)$, the probability that a generic stochastic process starting at $x$ and evolving in a box $[0,L]$ hits the upper boundary $L$ before hitting the lower boundary at 0. For a generic self-affine process (describing, for […]

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Hearing shapes of drums – mathematical and physical aspects of isospectrality

O. Giraud 1, K. Thas 2 Reviews of Modern Physics 82 (2010) 2213-2255 In a celebrated paper  »Can one hear the shape of a drum? » M. Kac [Amer. Math. Monthly 73, 1 (1966)] asked his famous question about the existence of nonisometric billiards having the same spectrum of the Laplacian. This question was eventually answered positively in 1992 by

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Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

H. Nonne 1, P. Lecheminant 1, Sylvain Capponi 2, G. Roux 3, E. Boulat 4 Physical Review B 81 (2010) 020408 R A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and gapped phases depending on the parity of N

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Graphene n-p junction in a strong magnetic field: a semiclassical study

Pierre Carmier 1, Caio Lewenkopf 2, Denis Ullmo 1 Physical Review B 81 (2010) 241406 We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at the interface of the junction. For a symmetric (ambipolar) configuration, the general

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Genotype networks in metabolic reaction spaces

Areejit Samal 1, 2, 3, Joao F. Matias Rodrigues 4, Jürgen Jost 1, 5, Olivier C. Martin 2, 6, Andreas Wagner 4, 5, 7, 8 BMC Biology 4 (2010) 30 Background: A metabolic genotype comprises all chemical reactions an organism can catalyze via enzymes encoded in its genome. A genotype is viable in a given environment if it is capable of producing all biomass components the organism needs to survive and reproduce.

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Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities

Yan V Fyodorov 1, Pierre Le Doussal 2, Alberto Rosso 3 Europhysics Letters (EPL) 90 (2010) 60004 We reveal a phase transition with decreasing viscosity $\nu$ at \nu=\nu_c>0 in one-dimensional decaying Burgers turbulence with a power-law correlated random profile of Gaussian-distributed initial velocities 1. School of Mathematical Sciences, University of Nottingham 2. Laboratoire de Physique Théorique de l’ENS (LPTENS), CNRS :

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Free-energy distribution of the directed polymer at high temperature

Pasquale Calabrese 1, Pierre Le Doussal 2, Alberto Rosso 3 Europhysics Letters (EPL) 90 (2010) 20002 We study the directed polymer of length $t$ in a random potential with fixed endpoints in dimension 1+1 in the continuum and on the square lattice, by analytical and numerical methods. The universal regime of high temperature $T$ is described, upon scaling ‘time’ $t \sim

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Fractional quantum Hall states with negative flux: edge modes in some Abelian and non-Abelian cases

M. V. Milovanović 1, Th. Jolicoeur 2 International Journal of Modern Physics B 24 (2010) 549 We investigate the structure of gapless edge modes propagating at the boundary of some fractional quantum Hall states. We show how to deduce explicit trial wavefunctions from the knowledge of the effective theory governing the edge modes. In general quantum Hall states have

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Fractal superconductivity near localization threshold

M. V. Feigel’man 1, 2, L. B. Ioffe 1, 3, 4, V. E. Kravtsov 1, 5, E. Cuevas 6 Annals of Physics / Ann Phys (New York); Annals of Physics (New York); Ann Phys (U S A ); Ann Phys (Leipzig) 325, 7 (2010) 1390-1478 We develop a semi-quantitative theory of electron pairing and resulting superconductivity in bulk ‘poor conductors’ in which Fermi energy $E_F$ is located

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Finite temperature phase transition for disordered weakly interacting bosons in one dimension

I. L. Aleiner 1, B. L. Altshuler 2, G. V. Shlyapnikov 3, 4 Nature Physics 6 (2010) 900-904 It is commonly accepted that there are no phase transitions in one-dimensional (1D) systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we demonstrate that the 1D gas of short-range interacting bosons in the presence of disorder can undergo

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