publications

One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey

Alain Comtet 1, Christophe Texier 1 We consider a one-dimensional model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics. The low energy spectral properties are reviewed and compared with those of other models with off-diagonal disorder. Using recent results on exponential functionals of a Brownian motion we discuss the statistical properties of the ground state wave

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On the limiting power of set of knots generated by 1+1- and 2+1- braids

R. Bikbov 1, S. Nechaev 1, 2 Journal of Mathematical Physics 40 (1999) 6598-6608 We estimate from above the set of knots, $\\Omega(n,\\mu)$, generated by closure of n-string 1+1- and 2+1-dimensional braids of irreducible length $\\mu$ ($\\mu>>1$) in the limit n>>1. 1. ITP, Landau Institute for Theoretical Physics 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS : UMR8626 – Université

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On the distribution of the total energy of a system on non-interacting fermions: random matrix and semiclassical estimates

O. Bohigas 1, P. Leboeuf 1, M. J. Sanchez 2 Physica D: Nonlinear Phenomena 131 (1999) 186-204 We consider a single particle spectrum as given by the eigenvalues of the Wigner-Dyson ensembles of random matrices, and fill consecutive single particle levels with n fermions. Assuming that the fermions are non-interacting, we show that the distribution of the total energy is Gaussian

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On shape and electrostatics: competing anisotropies in charged colloidal platelets

S. Jabbari-Farouji 1, J. -J. Weis 2, P. Davidson 3, P. Levitz 4, E. Trizac 1 Charged platelet suspensions, such as swelling clays, disc-like mineral crystallites or exfoliated nanosheets, are ubiquitous in nature. Their puzzling phase behaviours are nevertheless still poorly understood: while Laponite and Bentonite clay suspensions form arrested states at low densities, others, like Beidellite and Gibbsite, exhibit an equilibrium isotropic-nematic transition at

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Normal forms and complex periodic orbits in semiclassical expansions of Hamiltonian systems

Patricio Leboeuf 1, Amaury Mouchet 2 Annals of Physics 275 (1999) 54 Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of generic Hamiltonian systems. Meyer’s classification of normal forms provides a powerful tool to understand the structure of phase space dynamics in their neighborhood. We provide a pedestrian presentation of this classical theory

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Nonlinear conduction of sliding electronic crystals: Charge and Spin Density Waves

S. Brazovskii 1, A. Larkin 2, 3 Journal de Physique IV Colloque 9 (1999) Pr10-77 A model of local metastable states due to the pinning induces plastic deformations allows to describe the nonlinear I-V curves in sliding density waves -DW. With increasing the DW velocity v, the metastable states of decreasing lifetimes ~1/v are accessed. The characteristic second threshold field

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Non-equilibrium relaxation of an elastic string in random media

Alejandro B. Kolton 1, A. Rosso 2, Thierry Giamarchi 1 We study the relaxation of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated short length scales from the flat long distance geometry that keep memory of the initial condition.

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