2012

Equilibrium strategy and population-size effects in lowest unique bid auctions

Simone Pigolotti 1, 2, Sebastian Bernhardsson 1, 3, Jeppe Juul 1, Gorm Galster 1, Pierpaolo Vivo 4 Physical Review Letters 108 (2012) 088701 In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium distribution of strategies. We then […]

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Entangling many-body bound states with propagative modes in Bose-Hubbard systems

Mario Collura 1, Helge Aufderheide 2, Guillaume Roux 3, Dragi Karevski 1 Physical Review A 86 (2012) 013615 The quantum evolution of a cloud of bosons initially localized on part of a one dimensional optical lattice and suddenly subjected to a linear ramp is studied, realizing a quantum analog of the ‘Galileo ramp’ experiment. The main remarkable effects of this realistic setup are

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Electron and nuclear spin dynamics in the thermal mixing model of dynamic nuclear polarization

Sonia Colombo Serra 1, Alberto Rosso 2, Fabio Tedoldi 1 Physical Chemistry Chemical Physics 14 (2012) 13299-13308 A novel mathematical treatment is proposed for computing the time evolution of dynamic nuclear polarization processes in the low temperature thermal mixing regime. Without assuming any a priori analytical form for the electron polarization, our approach provides a quantitative picture of the steady state

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Einstein relation in superdiffusive systems

Giacomo Gradenigo 1, Alessandro Sarracino 1, Dario Villamaina 2, Angelo Vulpiani 3 Journal of Statistical Mechanics: Theory and Experiment (2012) L06001 We study the Einstein relation between diffusion and response to an external field in systems showing superdiffusion. In particular, we investigate a continuous time Levy walk where the velocity remains constant for a time \tau, with distribution P(\tau) \tau^{-g}. At varying g

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Effect of coupling asymmetry on mean-field solutions of direct and inverse Sherrington-Kirkpatrick model

Jason Sakellariou 1, Yasser Roudi 2, 3, Marc Mezard 1, John Hertz 4, 5 Philosophical Magazine 92 (2012) 272-279 We study how the degree of symmetry in the couplings influences the performance of three mean field methods used for solving the direct and inverse problems for generalized Sherrington-Kirkpatrick models. In this context, the direct problem is predicting the potentially time-varying magnetizations. The three theories include

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Edge properties of principal fractional quantum Hall states in the cylinder geometry

Paul Soulé 1, Thierry Jolicoeur 1 Physical Review B (Condensed Matter) 86 (2012) 115214 We study fractional quantum Hall states in the cylinder geometry with open boundaries. We focus on principal fermionic 1/3 and bosonic 1/2 fractions in the case of hard-core interactions. The gap behavior as a function of the cylinder radius is analyzed. By adding enough orbitals

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Dynamics of a massive intruder in a homogeneously driven granular fluid

A. Puglisi 1, A. Sarracino 2, G. Gradenigo 3, D. Villamaina 4 Granular Matter 14 (2012) 235-238 A massive intruder in a homogeneously driven granular fluid, in dilute configurations, performs a memory-less Brownian motion with drag and temperature simply related to the average density and temperature of the fluid. At volume fraction $\sim 10-50%$ the intruder’s velocity correlates with the local fluid velocity

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Dynamical heterogeneity in aging colloidal glasses of Laponite

Sara Jabbari-Farouji 1, 2, Rojman Zargar 2, Gerard Wegdam 2, Daniel Bonn 3, 4 Soft Matter 8 (2012) 5507-5512 Glasses behave as solids due to their long relaxation time; however the origin of this slow response remains a puzzle. Growing dynamic length scales due to cooperative motion of particles are believed to be central to the understanding of both the slow dynamics and the emergence

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Dynamic Monte Carlo Simulations of Anisotropic Colloids

Sara Jabbari-Farouji 1, Emmanuel Trizac 1 Journal of Chemical Physics 137 (2012) 054107 We put forward a simple procedure for extracting dynamical information from Monte Carlo simulations, by appropriate matching of the short-time diffusion tensor with its infinite-dilution limit counterpart, which is supposed to be known. This approach –discarding hydrodynamics interactions– first allows us to improve the efficiency of

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Dissipative homogeneous Maxwell mixtures: ordering transition in the tracer limit

V. Garzó 1, E. Trizac 2 Granular Matter 14 (2012) 99 The homogeneous Boltzmann equation for inelastic Maxwell mixtures is considered to study the dynamics of tracer particles or impurities (solvent) immersed in a uniform granular gas (solute). The analysis is based on exact results derived for a granular binary mixture in the homogeneous cooling state (HCS) that apply

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