2010

The longest excursion of fractional Brownian motion : numerical evidence of non-Markovian effects

Reinaldo Garcia-Garcia 1, Alberto Rosso 2, Gregory Schehr 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2010) 010102(R) We study, using exact numerical simulations, the statistics of the longest excursion l_{\max}(t) up to time t for the fractional Brownian motion with Hurst exponent 0 \propto Q_\infty t where Q_\infty \equiv Q_\infty(H) depends continuously on H, and in a […]

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The Levy spin glass transition

K. Janzen 1, A. Engel 2, M. Mézard 3 Europhysics Letters (EPL) 89, 6 (2010) 67002 We determine the phase transition of the Levy spin glass. A regularized model where the coupling constants smaller than some cutoff $\epsilon$ are neglected can be studied by the cavity method for diluted spin glasses. We show how to handle the $\epsilon\to 0$ limit and

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The Hierarchical Random Energy Model

Michele Castellana 1, Aurelien Decelle 1, Silvio Franz 1, Marc Mezard 1, Giorgio Parisi 2 Physical Review Letters 104 (2010) 1277206 We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a non-mean field model. Through small coupling series expansion and a direct numerical solution of the model,

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Switching and growth for microbial populations in catastrophic responsive environments

Paolo Visco 1, Rosalind J. Allen 1, Satya N. Majumdar 2, Martin R. Evans 1 Biophysical Journal 98 (2010) 1099 Phase variation, or stochastic switching between alternative states of gene expression, is common among microbes, and may be important in coping with changing environments. We use a theoretical model to assess whether such switching is a good strategy for growth in environments with

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Susceptibility Propagation for Constraint Satisfaction Problems

Saburo Higuchi 1, Marc Mézard 2 Journal of Physics 233, 1 (2010) 012003 We study the susceptibility propagation, a message-passing algorithm to compute correlation functions. It is applied to constraint satisfaction problems and its accuracy is examined. As a heuristic method to find a satisfying assignment, we propose susceptibility-guided decimation where correlations among the variables play an important role.

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Surface Tension in Kac Glass Models

Elia Zarinelli 1, Silvio Franz 1 Journal of statistical mechanics-theory and experiment (2010) P04008 In this paper we study a distance-dependent surface tension, defined as the free-energy cost to put metastable states at a given distance. This will be done in the framework of a disordered microscopic model with Kac interactions that can be solved in the mean-field limit.

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Surface Charge Density Wave Transition in NbSe$_3$

Christophe Brun 1, Zhao-Zhong Wang 1, Pierre Monceau 2, Serguei Brazovskii 3 Physical Review Letters 104 (2010) 256403 The two charge-density wave (CDW) transitions in NbSe$_3$ %at wave numbers at $\bm{q_1}$ and $\bm{q_2}$, occurring at the surface were investigated by scanning tunneling microscopy (STM) on \emph{in situ} cleaved $(\bm{b},\bm{c})$ plane. The temperature dependence of first-order CDW satellite spots, obtained from the Fourier transform

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Superfluid Motion of Light

Patricio Leboeuf 1, Simon Moulieras 1 Physical Review Letters 105 (2010) 163904 Superfluidity, the ability of a fluid to move without dissipation, is one of the most spectacular manifestations of the quantum nature of matter. We explore here the possibility of superfluid motion of light. Controlling the speed of a light packet with respect to a defect, we demonstrate

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