publications

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 :

Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities Lire la suite »

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

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

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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Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model

Guillaume Roux 1 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 053604 We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables one to define a crossover number of particles that is

Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model Lire la suite »

Finite size effects for the gap in the excitation spectrum of the one-dimensional Hubbard model

M. Colomé-Tatché 1, S. I. Matveenko 1, 2, G. V. Shlyapnikov 1, 3 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 013611 We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are obtained. Aside from

Finite size effects for the gap in the excitation spectrum of the one-dimensional Hubbard model Lire la suite »

Experimental test of a trace formula for two-dimensional dielectric resonators

S. Bittner 1, E. Bogomolny 2, B. Dietz 3, M. Miski-Oglu 3, P. Oria Iriarte 1, A. Richter 1, 4, F. SchÄfer 5 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2010) 066215 Resonance spectra of two-dimensional dielectric microwave resonators of circular and square shapes have been measured. The deduced length spectra of periodic orbits were analyzed and a trace formula for dielectric resonators recently proposed by Bogomolny

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Emergence of rigidity at the structural glass transition: a first principle computation

Hajime Yoshino 1, Marc Mezard 2 Physical Review Letters 105 (2010) 015504 We compute the shear modulus of structural glasses from a first principle approach based on the cloned liquid theory. We find that the intra-state shear-modulus, which corresponds to the plateau modulus measured in linear visco-elastic measurements, strongly depends on temperature and vanishes continuously when the temperature is

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