publications

Resonance-Assisted Tunneling

Olivier Brodier 1, Peter Schlagheck 1, 2, Denis Ullmo 1 Annals of Physics 300 (2002) 88-136 We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this ‘resonance-assisted’ mechanism is given, which is based on a local perturbative description of the dynamics […]

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Random walks on the braid group B_3 and magnetic translations in hyperbolic geometry

Raphael Voituriez 1 Nuclear Physics B 621 (2002) 675-688 We study random walks on the three-strand braid group $B_3$, and in particular compute the drift, or average topological complexity of a random braid, as well as the probability of trivial entanglement. These results involve the study of magnetic random walks on hyperbolic graphs (hyperbolic Harper-Hofstadter problem), what

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Projection on higher Landau levels and non-commutative geometry

Nicolas Macris 1, Stéphane Ouvry 2 Journal of Physics A 35 (2002) 4477-4484 The projection of a two dimensional planar system on the higher Landau levels of an external magnetic field is formulated in the language of the non commutative plane and leads to a new class of star products. 1. Institut de Physique Théorique (IPT), École Polytechnique Fédérale

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Phase diagram and critical exponents of a Potts gauge glass

Jesper-Lykke Jacobsen 1, Marco Picco 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 65 (2002) 026113 The two-dimensional q-state Potts model is subjected to a Z_q symmetric disorder that allows for the existence of a Nishimori line. At q=2, this model coincides with the +/- J random-bond Ising model. For q>2, apart from the usual pure and

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Percolation model for nodal domains of chaotic wave functions

Eugene Bogomolny 1, Charles Schmit 1 Physical Review Letters 88 (2002) 114102 Nodal domains are regions where a function has definite sign. In recent paper [nlin.CD/0109029] it is conjectured that the distribution of nodal domains for quantum eigenfunctions of chaotic systems is universal. We propose a percolation-like model for description of these nodal domains which permits to calculate all

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On the Reactions A+A+…+A->0 at a One-Dimensional Periodic Lattice of Catalytic Centers: Exact Solution

Alexei A. Naidenov 1, Sergei K. Nechaev 2 JETP Letters 76 (2002) 61-65 The kinetics of the diffusion-controlled chemical reactions A+A+…+A->0 that occur at catalytic centers periodically arranged along a straight line is considered. Modes of the behavior of reaction probability W(t) were studied at different times and different densities of the catalyst. Within the Smoluchowski approximation, it was rigorously proved

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