publications

Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems

Florent Krzakala 1, Andrea Montanari 2, Federico Ricci-Tersenghi, Guilhem Semerjian 2, Lenka Zdeborova 3 Proceeding of the national academy of sciences 104, 25 (2007) 10318 An instance of a random constraint satisfaction problem defines a random subset S (the set of solutions) of a large product space (the set of assignments). We consider two prototypical problem ensembles (random k-satisfiability and q-coloring of random regular […]

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General flux to a trap in one and three dimensions

Robert M. Ziff 1, Satya N. Majumdar 2, Alain Comtet 2, 3 Journal of Physics: Condensed Matter 19 (2007) 065102 The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is solved in general, verifying the Smoluchowski-like solution in which the effective trap radius is reduced

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Fractional Laplacian in Bounded Domains

A. Zoia 1, A. Rosso 2, 3, M. Kardar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 021116 The fractional Laplacian operator, $-(-\triangle)^{\frac{\alpha}{2}}$, appears in a wide class of physical systems, including Lévy flights and stochastic interfaces. In this paper, we provide a discretized version of this operator which is well suited to deal with boundary conditions on

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Finite-size effects on the dynamics of the zero-range process

Shamik Gupta 1, Mustansir Barma 1, Satya N. Majumdar 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 060101 We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed phase. The current fluctuations in the steady state show striking differences in the

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Fermi Edge Singularities in the Mesoscopic Regime: II. Photo-absorption Spectra

M. Hentschel 1, 2, D. Ullmo 2, 3, H. U. Baranger 2 Physical Review B 76 (2007) 245419 We study Fermi edge singularities in photo-absorption spectra of generic mesoscopic systems such as quantum dots or nanoparticles. We predict deviations from macroscopic-metallic behavior and propose experimental setups for the observation of these effects. The theory is based on the model of a localized, or

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Exact results for the Spectra of Bosons and Fermions with Contact Interaction

Stefan Mashkevich 1, Sergey I. Matveenko 2, Stéphane Ouvry 3 Nuclear Physics B 763 (2007) 431-444 An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of diagonalizing a finite matrix: they are roots of algebraic

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Equilibrium and dynamics of a trapped superfluid Fermi gas with unequal masses

G. Orso 1, L. P. Pitaevskii 2, 3, S. Stringari 2 Physical Review A: Atomic, Molecular and Optical Physics 77 (2007) 033611 Interacting Fermi gases with equal populations but unequal masses are investigated at zero temperature using local density approximation and the hydrodynamic theory of superfluids in the presence of harmonic trapping. We derive the conditions of energetic stability of the superfluid

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