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Discrete energy landscapes and replica symmetry breaking at zero temperature

Florent Krzakala 1, Olivier C. Martin 1 Europhysics Letters (EPL) 53 (2001) 749-755 The order parameter P(q) for disordered systems with degenerate ground-states is reconsidered. We propose that entropy fluctuations lead to a trivial P(q) at zero temperature as in the non-degenerate case, even if there are zero-energy large-scale excitations (complex energy landscape). Such a situation should arise in the […]

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Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models

Vladimir S. Dotsenko 1, Jesper Lykke Jacobsen 2, Marco Picco 1 Nuclear Physics B 618 (2001) 523 We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give necessary conditions for the existence of degenerate representations and for the closure of the vertex-operator algebra. The resulting classification

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Adsorption of a random heteropolymer at a potential well revisited: location of transition point and design of sequences

Alexei A. Naidenov 1, Sergei K. Nechaev 1, 2 Journal of Physics A 34 (2001) 5625-5634 The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/semi-numerical approach the histogram of transition points for the ensemble of quenched heteropolymer structures with bimodal symmetric distribution of

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A transfer matrix approach to the enumeration of colored links Authors: Jesper Jacobsen,

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Knot Theory and Its Ramifications 10 (2001) 1233-1267 We propose a transfer matrix algorithm for the enumeration of alternating link diagrams with external legs, giving a weight $n$ to each connected component. Considering more general tetravalent diagrams with self-intersections and tangencies allows us to treat topological (flype) equivalences. This is done

A transfer matrix approach to the enumeration of colored links Authors: Jesper Jacobsen, Lire la suite »

A hierarchical approach for computing spin glass ground states

Jérôme Houdayer 1, Olivier C. Martin 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 64 (2001) 056704 We describe a numerical algorithm for computing spin glass ground states with a high level of reliability. The method uses a population based search and applies optimization on multiple scales. Benchmarks are given leading to estimates of the performance on large

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