2002

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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Nature of the glassy phase of RNA secondary structure

Florent Krzakala 1, Marc Mézard 1, Markus Muller 1 Europhysics Letters (EPL) 57 (2002) 752-758 We characterize the low temperature phase of a simple model for RNA secondary structures by determining the typical energy scale E(l) of excitations involving l bases. At zero temperature, we find a scaling law E(l) \sim l^\theta with \theta \approx 0.23, and this same scaling holds

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Monochromatic path crossing exponents and graph connectivity in 2D percolation

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 66 (2002) 055102 We consider the fractal dimensions d_k of the k-connected part of percolation clusters in two dimensions, generalizing the cluster (k=1) and backbone (k=2) dimensions. The codimensions X_k = 2-d_k describe the asymptotic decay of the probabilities P(r,R) ~ (r/R)^{X_k} that an

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