2007

Parafermionic states in rotating Bose-Einstein condensates

Nicolas Regnault 1, Thierry Jolicoeur 1, 2 Physical Review B 76 (2007) 235324 We investigate possible parafermionic states in rapidly rotating ultracold bosonic atomic gases at lowest Landau level filling factor nu=k/2. We study how the system size and interactions act upon the overlap between the true ground state and a candidate Read-Rezayi state. We also consider the quasihole states […]

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On the macroion virial contribution to the osmotic pressure in charge-stabilized colloidal suspensions

E. Trizac 1, 2, L. Belloni 3, J. Dobnikar 4, 5, H. H. von Grunberg 4, R. Castaneda-Priego 6 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 011401 Our interest goes to the different virial contributions to the equation of state of charged colloidal suspensions. Neglect of surface effects in the computation of the colloidal virial term leads to spurious and paradoxical results. This

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On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform

Satya N. Majumdar 1, Michael J. Kearney 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 031130 We study analytically the dynamics of a ball bouncing inelastically on a randomly vibrating platform, as a simple toy model of inelastic collapse. Of principal interest are the distributions of the number of flights n_f till the collapse and

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On the ground–state energy of finite Fermi systems

Jérôme Roccia 1, Patricio Leboeuf 1 Physical Review C 76 (2007) 014301 We study the ground–state shell correction energy of a fermionic gas in a mean–field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular, supershells) that appear when the number–theoretic properties of the frequency ratios are varied.

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On the Feasibility of Portfolio Optimization under Expected Shortfall

Stéfano Ciliberti 1, Imre Kondor 2, Marc Mézard 1 Quantitative Finance 7 (2007) 389-396 We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external parameters, when the available time series is too short,

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On the distribution of surface extrema in several one- and two-dimensional random landscapes

Florent Hivert 1, S. Nechaev 2, 3, G. Oshanin 4, 5, 6, O. Vasilyev 4, 7 Journal of Statistical Physics 126 (2007) 243-279 We study here a standard next-nearest-neighbor (NNN) model of ballistic growth on one- and two-dimensional substrates focusing our analysis on the probability distribution function $P(M,L)$ of the number $M$ of maximal points (i.e., local « peaks ») of growing surfaces. Our analysis is based on two

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Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition

Alberto Rosso 1, Pierre Le Doussal 2, Kay Joerg Wiese 2 Physical Review B 75 (2007) 22020a We compute numerically the sequence of successive pinned configurations of an elastic line pulled quasi-statically by a spring in a random bond (RB) and random field (RF) potential. Measuring the fluctuations of the center of mass of the line allows to obtain the functional

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Non-Abelian states with negative flux: a new series of quantum Hall states

Thierry Jolicoeur 1 Physical Review Letters 99 (2007) 036805 By applying the idea of parafermionic clustering to composite bosons with positive as well as negative flux, a new series of trial wavefunctions to describe fractional quantum Hall states is proposed. These non-Abelian states compete at filling factors k/(3k +/- 2) with other ground states like stripes or

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