Condensation of the Roots of Real Random Polynomials on the Real Axis
Schehr, G., Majumdar, S.N. Journal of Statistical Physics135 (2009) 587-598
Condensation of the Roots of Real Random Polynomials on the Real Axis Lire la suite »
Schehr, G., Majumdar, S.N. Journal of Statistical Physics135 (2009) 587-598
Condensation of the Roots of Real Random Polynomials on the Real Axis Lire la suite »
Saad Zaheer 1, Sahand Jamal Rahi 1, Thorsten Emig 2, 3, Robert L. Jaffe 1, 4 Physical Review A: Atomic, Molecular and Optical Physics 81 (2009) 030502 We investigate the electromagnetic Casimir interactions of an object contained within an otherwise empty, perfectly conducting spherical shell. For a small object we present analytical calculations of the force, which is directed away from the center of the
Casimir interactions of an object inside a spherical metal shell Lire la suite »
Robert M. Ziff 1, Satya N. Majumdar 2, Alain Comtet 2, 3 Journal of Chemical Physics 130, 20 (2009) 204104 It is shown that particles undergoing discrete-time jumps in 3D, starting at a distance r0 from the center of an adsorbing sphere of radius R, are captured with probability (R – c sigma)/r0 for r0 much greater than R, where c is
Capture of particles undergoing discrete random walks Lire la suite »
N. Regnault 1, M. O. Goerbig 2, Th. Jolicoeur 3 Physical Review Letters 101 (2009) 066803 We propose a scheme to construct the most prominent Abelian and non-Abelian fractional quantum Hall states from K-component Halperin wave functions. In order to account for a one-component quantum Hall system, these SU(K) colors are distributed over all particles by an appropriate symmetrization. Numerical calculations
Bridge between Abelian and Non-Abelian Fractional Quantum Hall States Lire la suite »
A. Recati 1, 2, N. Pavloff 3, I. Carusotto 1 Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 043603 We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon, closed-form analytical expressions are found
Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates Lire la suite »
Alberto Rosso 1, 2, Pierre Le Doussal 1, Kay Joerg Wiese 1 Physical Review B 80 (2009) 144204 We calculate numerically the sizes S of jumps (avalanches) between successively pinned configurations of an elastic line (d=1) or interface (d=2), pulled by a spring of (small) strength m^2 in a random-field landscape. We obtain strong evidence that the size distribution, away from the
J. Levinsen 1, T. G. Tiecke 2, J. T. M. Walraven 2, D. S. Petrov 1, 3 Physical Review Letters 103 (2009) 153202 We consider a heteronuclear fermionic mixture on the molecular side of an interspecies Feshbach resonance and discuss atom-dimer scattering properties in uniform space and in the presence of an external confining potential, restricting the system to a quasi-2D geometry. We find
Atom-dimer scattering and long-lived trimers in fermionic mixtures Lire la suite »
Andrea Zoia 1, Alberto Rosso 2, Satya N. Majumdar 2 Physical Review Letters 102 (2009) 120602 We propose to model the stochastic dynamics of a polymer passing through a pore (translocation) by means of a fractional Brownian motion, and study its behavior in presence of an absorbing boundary. Based on scaling arguments and numerical simulations, we present a conjecture that provides
Asymptotic behavior of self-affine processes in semi-infinite domains Lire la suite »
Stefan Mashkevich 1, 2, Stéphane Ouvry 3 Journal of Statistical Physics 137 (2009) 71-78 The algebraic area probability distribution of closed planar random walks of length N on a square lattice is considered. The generating function for the distribution satisfies a recurrence relation in which the combinatorics is encoded. A particular case generalizes the q-binomial theorem to the case of
Area distribution of two-dimensional random walks on a square lattice Lire la suite »