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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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Nuclear masses: evidence of order-chaos coexistence

Oriol Bohigas 1, Patricio Leboeuf 1 Physical Review Letters 88 (2002) 092502 Shell corrections are important in the determination of nuclear ground-state masses and shapes. Although general arguments favor a regular single-particle dynamics, symmetry-breaking and the presence of chaotic layers cannot be excluded. The latter provide a natural framework that explains the observed differences between experimental and computed masses.

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Non-compact local excitations in spin glasses

Julien Lamarcq 1, Jean-Philippe Bouchaud 1, Olivier C. Martin 2, Marc Mézard 2 Europhysics Letters (EPL) 58 (2002) 321 We study numerically the local low-energy excitations in the 3-d Edwards-Anderson model for spin glasses. Given the ground state, we determine the lowest-lying connected cluster of flipped spins with a fixed volume containing one given spin. These excitations are not compact, having a fractal dimension

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