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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 […]

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

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

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

Campi, X., Krivine, H., Puente, A. Physica A262 (1999) 328-334

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

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

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.

Serguei B. Isakov 1, Gustavo S. Lozano 1, Stephane Ouvry 1 Nuclear Physics B 552 (1999) 677 The quantum mechanics and thermodynamics of SU(2) non-Abelian Chern-Simons particles (non-Abelian anyons) in an external magnetic field are addressed. We derive the N-body Hamiltonian in the (anti-)holomorphic gauge when the Hilbert space is projected onto the lowest Landau level of the magnetic field. In the

Andreas Honecker 1, Jesper-Lykke Jacobsen 2, Marco Picco 3, Pierre Pujol 4 We study the universality class of the fixed points of the 2D random bond q-state Potts model by means of numerical transfer matrix methods. In particular, we determine the critical exponents associated with the fixed point on the Nishimori line. Precise measurements show that the universality class of this fixed point