2012

Critical phenomena and phase sequence in classical bilayer Wigner crystal at zero temperature

L. Samaj 1, E. Trizac 1 Physical Review B (Condensed Matter) 85 (2012) 205131 We study the ground-state properties of a system of identical classical Coulombic point particles, evenly distributed between two equivalently charged parallel plates at distance $d$; the system as a whole is electroneutral. It was previously shown that upon increasing d from 0 to infinity, five […]

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Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal $1/f$ noise

Yan V. Fyodorov, Pierre Le Doussal, Alberto Rosso Journal of Statistical Physics 149 (2012) 898-920 To understand the sample-to-sample fluctuations in disorder-generated multifractal patterns we investigate analytically as well as numerically the statistics of high values of the simplest model – the ideal periodic $1/f$ Gaussian noise. By employing the thermodynamic formalism we predict the

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Compressed Sensing of Approximately-Sparse Signals: Phase Transitions and Optimal Reconstruction

Jean Barbier 1, Florent Krzakala 1, Marc Mézard 2, Lenka Zdeborová 3 50th annual Allerton conference on communication, control, and computing, États-Unis (2012) Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only « approximately sparse », i.e. even though the signal contains only a small fraction of relevant (large) components the other components are

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Collective charge fluctuations and Casimir interactions for quasi one-dimensional metals

Ehsan Noruzifar 1, Thorsten Emig 2, Umar Mohideen 1, Roya Zandi 1 Physical Review B 86 (2012) 115449 We investigate the Casimir interaction between two parallel metallic cylinders and between a metallic cylinder and plate. The material properties of the metallic objects are implemented by the plasma, Drude and perfect metal model dielectric functions. We calculate the Casimir interaction numerically at all separation

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Casimir interaction between inclined metallic cylinders

P. Rodriguez-Lopez 1, T. Emig 2 Physical Review A 85 (2012) 032510 The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined cylinders over a wide range of separations. We consider Dirichlet, Neumann and perfect metal boundary conditions, both at

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Casimir forces beyond the proximity approximation

G. Bimonte 1, T. Emig 2, R. L. Jaffe 3, M. Kardar 4 Europhycs Letters 97 (2012) 50001 The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to the PFA. We use a derivative expansion for gently curved surfaces to derive

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Bose-Einstein Condensation of a Gaussian Random Field in the Thermodynamic Limit

Philippe Mounaix 1, Satya N. Majumdar 2, Abhimanyu Banerjee 3 Journal of Physics A: Mathematical and Theoretical 45 (2012) 115002 We derive the criterion for the Bose-Einstein condensation (BEC) of a Gaussian field $\phi$ (real or complex) in the thermodynamic limit. The field is characterized by its covariance function and the control parameter is the intensity $u=\|\phi\|_2^2/V$, where $V$ is the

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