2013

Gregory Schehr 1, Satya N. Majumdar 1, Alain Comtet 1, 2, Peter J. Forrester 3 Journal of Statistical Physics 150 (2013) 491-530 We consider three different models of N non-intersecting Brownian motions on a line segment [0,L] with absorbing (model A), periodic (model B) and reflecting (model C) boundary conditions. In these three cases we study a properly normalized reunion probability, which, in model […]

Anandamohan Ghosh 1, Shamik Gupta 2 Physica A: Statistical Mechanics and its Applications 392 (2013) 3812-3818 The Kuramoto model describes a system of globally coupled phase-only oscillators with distributed natural frequencies. The model in the steady state exhibits a phase transition as a function of the coupling strength, between a low-coupling incoherent phase in which the oscillators oscillate independently

Yaniv Edery 1, Alexander B. Kostinski 2, Satya N. Majumdar 3, Brian Berkowitz 1 Physical Review Letters 110 (2013) 180602 We address the question of distance record-setting by a random walker in the presence of measurement error, $\delta$, and additive noise, $\gamma$ and show that the mean number of (upper) records up to $n$ steps still grows universally as $< R_n> \sim n^{1/2}$

Stephane Ouvry 1 Journal of Statistical Mechanics: Theory and Experiment, Institute of Physics: Hybrid Open Access, 2013, pp.P02002 As a sequel to [1] and [2], I present some recent progress on Bessel integrals $\int_0^{\infty}{\rmd u}\; uK_0(u)^{n}$, $\int_0^{\infty}{\rmd u}\; u^{3}K_0(u)^{n}$, … where the power of the integration variable is odd and where $n$, the Bessel weight,

Shamik Gupta 1, David Mukamel 2 Physical Review E 88 (2013) 052137 We consider a long-range interacting system of $N$ particles moving on a spherical surface under an attractive Heisenberg-like interaction of infinite range, and evolving under deterministic Hamilton dynamics. The system may also be viewed as one of globally coupled Heisenberg spins. In equilibrium, the system has a

Silvio Franz 1, Giorgio Parisi 2 Journal of Statistical Mechanics (2013) P02003 We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply this description to Mean Field Glassy systems in the limit of long chain where each

P. -É Larré 1 N. Pavloff 1 A. M. Kamchatnov 2 Physical Review B (Condensed Matter), American Physical Society, 2013, 88, pp.224503 We study the hydrodynamics of a nonresonantly-pumped polariton condensate in a quasi-one-dimensional quantum wire taking into account the spin degree of freedom. We clarify the relevance of the Landau criterion for superfluidity in

S. K. Nechaev 1, 2, A. N. Sobolevski 3, 4, O. V. Valba 1, 5 Physical Review E 87 (2013) 012102 We propose a new toy model of a heteropolymer chain capable of forming planar secondary structures typical for RNA molecules. In this model the sequential intervals between neighboring monomers along a chain are considered as quenched random variables. Using the optimization procedure for

Florent Krzakala 1 Marc Mézard 2 Lenka Zdeborová 3 IEExplore, 2013, Information Theory Proceedings (ISIT), 2013 IEEE International Symposium, pp.659 – 663 <10.1109/ISIT.2013.6620308 > We consider dictionary learning and blind calibration for signals and matrices created from a random ensemble. We study the mean-squared error in the limit of large signal dimension using the replica

Alan J. Bray 1, Satya N. Majumdar 2, G. Schehr 2 Advances in Physics 62, 3 (2013) 225-361 In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration problems, we progressively discuss the persistence properties in