2015

Mean perimeter of the convex hull of a random walk in a semi-infinite medium

M. Chupeau 1 O. Bénichou 1 S. N. Majumdar 2 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92, pp.022145 We study various properties of the convex hull of a planar Brownian motion, defined as the minimum convex polygon enclosing the trajectory, in the presence of an infinite reflecting […]

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Large time zero temperature dynamics of the spherical p=2-spin model of finite size

Yan V. Fyodorov 1 Anthony Perret 2 Gregory Schehr 2 Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2015, pp.P11017 We revisit the long time dynamics of the spherical fully connected spin-glass model, i.e. the spherical $p=2$-spin model, when the number of spins $N$ is large but finite. At $T=0$ where the system is

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Invariant sums of random matrices and the onset of level repulsion

Zdzisław Burda 1 Giacomo Livan 2 Pierpaolo Vivo 3, 4 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2015, pp.P06024 Using a simple rotate-and-sum procedure, we construct and solve exactly a random matrix model with peculiar features. It is invariant under the standard symmetry groups (orthogonal and unitary) and yet the interaction between eigenvalues

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Interplay of curvature and temperature in the Casimir-Polder interaction

Giuseppe Bimonte 1 Thorsten Emig 2 Journal of Physics: Condensed Matter, IOP Publishing, 2015, 27, pp.214018 We study the Casimir-Polder interaction at finite temperatures between a polarizable small, anisotropic particle and a non-planar surface using a derivative expansion. We obtain the leading and the next-to-leading curvature corrections to the interaction for low and high temperatures.

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Interference effects in the two-dimensional scattering of microcavity polaritons by an obstacle: phase dislocations and resonances

A. M. Kamchatnov 1 N. Pavloff 2 European Physical Journal D, EDP Sciences: EPJ, 2015, pp.32 We consider interference effects within the linear description of the scattering of two-dimensional microcavity polaritons by an obstacle. The polariton wave may exhibit phase dislocations created by the interference of the incident and the scattered fields. We describe these

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High values of disorder-generated multifractals and logarithmically correlated processes

Yan Fyodorov 1 Olivier Giraud 2 Chaos, Solitons and Fractals, Elsevier, 2015, 74, pp.15 In the introductory section of the article we give a brief account of recent insights into statistics of high and extreme values of disorder-generated multifractals following a recent work by the first author with P. Le Doussal and A. Rosso (FLR)

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Ground-State Statistics of Directed Polymers with heavy-tailed disorder

Thomas Gueudré 1 Pierre Le Doussal 1 Jean-Philippe Bouchaud 2 Alberto Rosso 3 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91, pp.062110 In this mostly numerical study, we revisit the statistical properties of the ground state of a directed polymer in a $d=1+1$ « hilly » disorder landscape, i.e. when

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