publications

S. I. Matveenko 1, 2 Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 033628 We found an analytical solution for the vortex structure in a rapidly rotating trapped Bose-Einstein condensate in the lowest Landau level approximation. This solution is exact in the limit of a large number of vortices and is obtained for the case of […]

Satya N. Majumdar 1 Physica A: Statistical Mechanics and its Applications 389, 20 (2010) 4299-4316 In these lecture notes I will discuss the universal first-passage properties of a simple correlated discrete-time sequence {x_0=0, x_1,x_2…. x_n} up to n steps where x_i represents the position at step i of a random walker hopping on a continuous line by

Satya N. Majumdar 1, Alberto Rosso 1, Andrea Zoia 2 Journal of Physics A General Physics 43 (2010) 115001 We study the random acceleration model, which is perhaps one of the simplest, yet nontrivial, non-Markov stochastic processes, and is key to many applications. For this non-Markov process, we present exact analytical results for the probability density $p(t_m|T)$ of the time $t_m$

K. Helfrich 1, H. -W. Hammer 2, D. S. Petrov 3, 4 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 042715 We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which we then

K. Janzen 1, A. Engel 2, M. Mézard 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82 (2010) 021127 We investigate the Lévy glass, a mean-field spin glass model with power-law distributed couplings characterized by a divergent second moment. By combining extensively many small couplings with a spare random backbone of strong bonds the model is intermediate between the

Sebastian Bustingorry 1, Pierre Le Doussal 2, Alberto Rosso 3 Physical Review B 82 (2010) 140201 (R) We study the high temperature regime within the glass phase of an elastic object with short ranged disorder. In that regime we argue that the scaling functions of any observable are described by a continuum model with a $\delta$-correlated disorder and that they are

Reinaldo Garcia-Garcia 1, Alberto Rosso 2, Gregory Schehr 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2010) 010102(R) We study, using exact numerical simulations, the statistics of the longest excursion l_{\max}(t) up to time t for the fractional Brownian motion with Hurst exponent 0 \propto Q_\infty t where Q_\infty \equiv Q_\infty(H) depends continuously on H, and in a

K. Janzen 1, A. Engel 2, M. Mézard 3 Europhysics Letters (EPL) 89, 6 (2010) 67002 We determine the phase transition of the Levy spin glass. A regularized model where the coupling constants smaller than some cutoff $\epsilon$ are neglected can be studied by the cavity method for diluted spin glasses. We show how to handle the $\epsilon\to 0$ limit and

Michele Castellana 1, Aurelien Decelle 1, Silvio Franz 1, Marc Mezard 1, Giorgio Parisi 2 Physical Review Letters 104 (2010) 1277206 We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a non-mean field model. Through small coupling series expansion and a direct numerical solution of the model,

Visco, P., Allen, R.J., Majumdar, S., Evans, M.R. Biophysical Journal98 (2010) 1099-1108