1995

Orbital Magnetism in Ensembles of Ballistic Billiards

Denis Ullmo 1, Klaus Richter 1, Rodolfo A. Jalabert 1 Physical Review Letters 74 (1995) 383-386 We calculate the magnetic response of ensembles of small two-dimensional structures at finite temperatures. Using semiclassical methods and numerical calculation we demonstrate that only short classical trajectories are relevant. The magnetic susceptibility is enhanced in regular systems, where these trajectories appear in families. For ensembles

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One-Dimensional Statistical Mechanics for Identical Particles : The Calogero and Anyon Cases

Alain Dasnieres De Veigy 1, Stephane Ouvry 1 Modern Physics Letters A 10 (1995) 1-13 The thermodynamic of particles with intermediate statistics interpolating between Bose and Fermi statistics is adressed in the simple case where there is one quantum number per particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest

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On a dynamical model of glasses

Jean-Philippe Bouchaud 1, Alain Comtet 2, 3, Cecile Monthus 2, 3 Journal de Physique I 5 (1995) 1521-1526 We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the equilibrium distribution ceases to

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Magnetic Moment and Perturbation Theory with Singular Magnetic Fields

Alain Comtet 1, Stefan Mashkevich 2, Stéphane Ouvry 1 Physical Review D 52 (1995) 2594-2597 The spectrum of a charged particle coupled to Aharonov-Bohm/anyon gauge fields displays a nonanalytic behavior in the coupling constant. Within perturbation theory, this gives rise to certain singularities which can be handled by adding a repulsive contact term to the Hamiltonian. We discuss the case of

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Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics

A. Comtet 1, J. Desbois 1, C. Monthus 1 Annals of Physics 239 (1995) 312-350 A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential $\\phi(x)$ is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the

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