1996

Exponents appearing in heterogeneous reaction-diffusion models in one dimension

Cecile Monthus 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 54 (1996) 4844-4859 We study the following 1D two-species reaction diffusion model : there is a small concentration of B-particles with diffusion constant $D_B$ in an homogenous background of W-particles with diffusion constant $D_W$; two W-particles of the majority species either coagulate ($W+W \\longrightarrow W$) […]

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Equation of State for Exclusion Statistics in a Harmonic Well

Serguei B. Isakov 1, Stephane Ouvry 2 Journal of Physics A 29 (1996) 7401-7407 We consider the equations of state for systems of particles with exclusion statistics in a harmonic well. Paradygmatic examples are noninteracting particles obeying ideal fractional exclusion statistics placed in (i) a harmonic well on a line, and (ii) a harmonic well in the Lowest Landau

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Distribution of Eigenvalues for the Modular Group

E. Bogomolny 1, F. Leyvraz 1, 2, C. Schmit 1 Communications in Mathematical Physics 176 (1996) 577-617 The two-point correlation function of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the Hardy-Littlewood method. It is shown that ion the limit of small separations they show an uncorrelated

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Diffusion in one dimensional random medium and hyperbolic brownian motion

Alain Comtet 1, 2, Cecile Monthus 1, 2 Journal of Physics A 29 (1996) 1331-1345 Classical diffusion in a random medium involves an exponential functional of Brownian motion. This functional also appears in the study of Brownian diffusion on a Riemann surface of constant negative curvature. We analyse in detail this relationship and study various distributions using stochastic calculus and functional

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Complex Periodic Orbits and Tunnelling in Chaotic Potentials

Stephen C. Creagh 1, Niall D. Whelan 1 Physical Review Letters 77 (1996) 4975-4979 We derive a trace formula for the splitting-weighted density of states suitable for chaotic potentials with isolated symmetric wells. This formula is based on complex orbits which tunnel through classically forbidden barriers. The theory is applicable whenever the tunnelling is dominated by isolated orbits, a

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