publications

Exact Meander Asymptotics: a Numerical Check

Philippe Di Francesco 1, Emmanuel Guitter 1, Jesper Lykke Jacobsen 2 Nuclear Physics B 580 (2000) 757-795 This note addresses the meander enumeration problem: \’Count all topologically inequivalent configurations of a closed planar non self-intersecting curve crossing a line through a given number of points\’. We review a description of meanders introduced recently in terms of the coupling to gravity of

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Duality relations for M coupled Potts models

Jesper Lykke Jacobsen 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 62 (2000) R1-R4 We establish explicit duality transformations for systems of M q-state Potts models coupled through their local energy density, generalising known results for M=1,2,3. The M-dimensional space of coupling constants contains a selfdual sub-manifold of dimension D_M = [M/2]. For the case

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Diffractive corrections in the trace formula for polygonal billiards

Eugene Bogomolny 1, Nicolas Pavloff 1, Charles Schmit 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 61 (2000) 3689-3711 We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional polygonal billiards. In polygons, diffraction typically occurs at the boundary of a family of trajectories. In this case the first

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Correlations and fluctuations of a confined electron gas

P. Leboeuf 1, A. Monastra 1 Physical Review B 62 (2000) 12617-12620 The grand potential $\\Omega$ and the response $R = – \\partial \\Omega /\\partial x$ of a phase-coherent confined noninteracting electron gas depend sensitively on chemical potential $\\mu$ or external parameter $x$. We compute their autocorrelation as a function of $\\mu$, $x$ and temperature. The result is related

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Copolymer at a selective interface and two dimensional wetting: a grand canonical approach

C. Monthus 1, T. Garel 1, H. Orland 1 European Physical Journal B 17 (2000) 121 We consider two different problems involving the localization of a single polymer chain: (i) a periodic $AB$ copolymer at a selective fluid-fluid interface, with the upper (resp. lower) fluid attracting $A$ (resp. $B$) monomers (ii) a homopolymer chain attracted to a hard wall (wetting). Self

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Anchoring of polymers by traps randomly placed on a line

S. Nechaev 1, 2, G. Oshanin 3, A. Blumen 4 Journal of Statistical Physics 98 (2000) 281-303 We study dynamics of a Rouse polymer chain, which diffuses in a three-dimensional space under the constraint that one of its ends, referred to as the slip-link, may move only along a one-dimensional line containing randomly placed, immobile, perfect traps. For such a model we

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