2013

Romain Allez 1, Jean-Philippe Bouchaud 2, Satya N. Majumdar 3, Pierpaolo Vivo 3 Journal of Physics A: Mathematical and Theoretical 46 (2013) 015001 We construct a diffusive matrix model for the $\beta$-Wishart (or Laguerre) ensemble for general continuous $\beta\in [0,2]$, which preserves invariance under the orthogonal/unitary group transformation. Scaling the Dyson index $\beta$ with the largest size $M$ of the data matrix as […]

P. -É. Larré 1, N. Pavloff 1 EPL 103 (2013) 60001 We consider a simple realization of an event horizon in the flow of a one-dimensional two-component Bose-Einstein condensate. Such a condensate has two types of quasiparticles; In the system we study, one corresponds to density fluctuations and the other to polarization fluctuations. We treat the case where a

Silvio Franz 1, Giorgio Parisi 2, Federico Ricci-Tersenghi 2 Journal of Statistical Mechanics (2013) L02001 We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop analysis we show that the critical Replica Field Theory describing these points can be mapped

A. Gorsky 1, S. Nechaev 2, 3, V. S. Poghosyan 4, V. B. Priezzhev 5 Nuclear Physics B 870 (2013) 55-77 Given a spanning forest on a large square lattice, we consider by combinatorial methods a correlation function of $k$ paths ($k$ is odd) along branches of trees or, equivalently, $k$ loop–erased random walks. Starting and ending points of the paths are grouped in

Pierre Ronceray 1, 2, Peter Harrowell 3 Physical Review E 87 (2013) 052313 The ordering transitions of a 2D lattice liquid characterized by a single favoured local structure (FLS) are studied using Monte Carlo simulations. All eight distinct geometries for the FLS are considered and we find a variety of ordering transitions – first order, continuous and multi-step transitions. Using

V. A. Avetisov 1, 2, V. A. Ivanov 3, D. A. Meshkov 1, S. K. Nechaev 4, 5 JETP Letters 98, 4 (2013) 242-246 The relaxation of an elastic network, constructed by a contact map of a fractal (crumpled) polymer globule is investigated. We found that: i) the slowest mode of the network is separated from the rest of the spectrum by a wide gap,

Shalini Singh 1, 2, Areejit Samal 1, 3, 4, Varun Giri 1, Sandeep Krishna 5, Nandula Raghuram 6, Sanjay Jain 1, 7, 8 Physical Review E 87 (2013) 052708 Unraveling the structure of complex biological networks and relating it to their functional role is an important task in systems biology. Here we attempt to characterize the functional organization of the large-scale metabolic networks of three microorganisms. We apply flux balance analysis to

Pierre-Élie Larré 1 Université Paris Sud – Paris XI (20/09/2013), Nicolas Pavloff (Dir.) Cette thèse est dédiée à l’étude de l’analogue du rayonnement de Hawking dans les condensats de Bose-Einstein. Le premier chapitre présente de nouvelles configurations d’intérêt expérimental permettant de réaliser l’équivalent acoustique d’un trou noir gravitationnel dans l’écoulement d’un condensat atomique unidimensionnel. Nous donnons dans

Silvio Franz 1, Mauro Sellitto 2 Journal of Statistical Mechanics (2013) P02025 Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study the fluctuations of dynamical heterogeneity and their finite-size scaling properties in the beta-relaxation