2011

Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

E. Bogomolny 1, O. Giraud 1 Physical Review Letters 106 (2011) 044101 Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral compressibility chi are related by the simple equation chi+D_1/d=1, where d is the system dimensionality. 1. Laboratoire de Physique Théorique et Modèles […]

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Dilution and resonance enhanced repulsion in non-equilibrium fluctuation forces

Giuseppe Bimonte 1, Thorsten Emig 2, Matthias Kruger 3, Mehran Kardar 3 Physical Review A 84 (2011) 042503 In equilibrium, forces induced by fluctuations of the electromagnetic field between electrically polarizable objects (microscopic or macroscopic) in vacuum are always attractive. The force may, however, become repulsive for microscopic particles coupled to thermal baths with different temperatures. We demonstrate that this non-equilibrium repulsion can

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Diffusion with Stochastic Resetting

Martin R. Evans 1, Satya N. Majumdar 2 Physical Review Letters 106 (2011) 160601 We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a

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Diffusion with Optimal Resetting

Martin R. Evans 1, Satya N. Majumdar 2 Journal of Physics A: Mathematical and Theoretical 44 (2011) 435001 We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate $r$. We consider several generalisations of the model of

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Counter-ions at Charged Walls: Two Dimensional Systems

L. Samaj 1, E. Trizac 2 The European Physical Journal Special Topics 34 (2011) 20 We study equilibrium statistical mechanics of classical point counter-ions, formulated on 2D Euclidean space with logarithmic Coulomb interactions (infinite number of particles) or on the cylinder surface (finite particle numbers), in the vicinity of a single uniformly charged line (one single double-layer), or between

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Conformal blocks in Virasoro and W theories: duality and the Calogero-Sutherland model

Benoit Estienne 1, 2, Vincent Pasquier 3, Raoul Santachiara 4, 5, Didina Serban 3 Nuclear Physics B 860 (2011) 377-420 We study the properties of the conformal blocks of the conformal field theories with Virasoro or W-extended symmetry. When the conformal blocks contain only second-order degenerate fields, the conformal blocks obey second order differential equations and they can be interpreted as ground-state wave functions of

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Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture

H. Nonne 1, P. Lecheminant 1, Sylvain Capponi 2, G. Roux 3, E. Boulat 4 Physical Review B 84 (2011) 125123 We investigate the nature of the Mott-insulating phases of half-filled 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of conformal field theory techniques and large-scale DMRG calculations, we show that the phase diagram strongly depends on the parity of $N$.

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Colloidal ionic complexes on periodic substrates: ground state configurations and pattern switching

Samir El Shawish 1, Jure Dobnikar 1, Emmanuel Trizac 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 (2011) 041403 We theoretically and numerically studied ordering of ‘colloidal ionic clusters’ on periodic substrate potentials as those generated by optical trapping. Each cluster consists of three charged spherical colloids: two negatively and one positively charged. The substrate is a square

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