2000

Windings of the 2D free Rouse chain

Olivier Benichou 1, 2, Jean Desbois 2 Journal of Physics A 33 (2000) 6655-6665 We study long time dynamical properties of a chain of harmonically bound Brownian particles. This chain is allowed to wander everywhere in the plane. We show that the scaling variables for the occupation times T_j, areas A_j and winding angles \theta_j (j=1,…,n labels the particles) take …

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Topological Defects in Spin Density Waves

N. Kirova 1, S. Brazovskii 1 Journal de Physique IV Colloque 10 (2000) 3-189 The rich order parameter of Spin Density Waves allows for unusual object of a complex topological nature: a half-integer dislocation combined with a semi-vortex of a staggered magnetization. It becomes energetically preferable to ordinary dislocation due to enhanced Coulomb interactions in the semiconducting regime. Generation …

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Statistical properties of the 2D attached Rouse chain

Olivier Benichou 1, 2, Jean Desbois 2 Journal of Statistical Physics 101 (2000) 921-931 We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the areas {A_i} enclosed by the monomers scale …

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Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala 1, O. C. Martin 1 Physical Review Letters 85 (2000) 3013-3016 Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean field picture of a non-trivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather …

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Spectral statistics of chaotic systems with a point-like scatterer

Eugene Bogomolny 1, Patricio Leboeuf 1, Charles Schmit 1 Physical Review Letters 85 (2000) 2486-2489 The statistical properties of a Hamiltonian $H_0$ perturbed by a localized scatterer are considered. We prove that when $H_0$ describes a bounded chaotic motion, the universal part of the spectral statistics are not changed by the perturbation. This is done first within the random matrix model. …

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Spectral determinant on quantum graphs

Eric Akkermans 1, 2, 3, Alain Comtet 3, Jean Desbois 3, Gilles Montambaux 2, Christophe Texier 3, 4 Annals of Physics 284 (2000) 10-51 We study the spectral determinant of the Laplacian on finite graphs characterized by their number of vertices V and of bonds B. We present a path integral derivation which leads to two equivalent expressions of the spectral determinant of the Laplacian either in terms …

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