publications

Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces

Satya N. Majumdar 1, Alain Comtet 1, 2 Journal of Statistical Physics 119 (2005) 777-826 The Airy distribution function describes the probability distribution of the area under a Brownian excursion over a unit interval. Surprisingly, this function has appeared in a number of seemingly unrelated problems, mostly in computer science and graph theory. In this paper, we show that this […]

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Hydrodynamics within the Electric Double Layer on slipping surfaces

Laurent Joly 1 Christophe Ybert 1 Emmanuel Trizac 2 Lyderic Bocquet 1 Physical Review Letters, American Physical Society, 2004, 93 (25), pp.257805. 〈10.1103/PhysRevLett.93.257805〉 We show, using extensive Molecular Dynamics simulations, that the dynamics of the electric double layer (EDL) is very much dependent on the wettability of the charged surface on which the EDL develops.

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Weakly bound dimers of fermionic atoms

D. Petrov 1, 2, Christophe Salomon 3, Gora V. Shlyapnikov 1, 2, 3 Physical Review Letters 93 (2004) 090404 We discuss the behavior of weakly bound bosonic dimers formed in a cold Fermi gas at a large positive scattering length $a$ for the interspecies interaction. We find the exact solution for the dimer-dimer elastic scattering and obtain a strong decrease of their collisional relaxation and

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Universal correlations of trapped one-dimensional impenetrable bosons

Dimitri M. Gangardt 1, 2 Journal of Physics A 37 (2004) 9335-9356 We calculate the asymptotic behaviour of the one body density matrix of one-dimensional impenetrable bosons in finite size geometries. Our approach is based on a modification of the Replica Method from the theory of disordered systems. We obtain explicit expressions for oscillating terms, similar to fermionic Friedel

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The traveling salesman problem, conformal invariance, and dense polymers

Jesper-Lykke Jacobsen 1, Nicholas Read 2, Hubert Saleur 3, 4 Physical Review Letters 93 (2004) 038701 We propose that the statistics of the optimal tour in the planar random Euclidean traveling salesman problem is conformally invariant on large scales. This is exhibited in power-law behavior of the probabilities for the tour to zigzag repeatedly between two regions, and in subleading corrections to

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