publications

Emmanuel Trizac 1, 2, Gabriel Tellez 3 Physical Review Letters 96 (2006) 038302 Making use of results pertaining to Painleve III type equations, we revisit the celebrated Onsager-Manning-Oosawa condensation phenomenon for charged stiff linear polymers, in the mean-field approximation with salt. We obtain analytically the associated critical line charge density, and show that it is severely affected by finite salt […]

E. Bogomolny 1, O. Bohigas 1, P. Leboeuf 1, A. G. Monastra 2 Journal of Physics A: Mathematical and General 39 (2006) 10743-10754 It has been conjectured that the statistical properties of zeros of the Riemann zeta function near $z = 1/2 + \ui E$ tend, as $E \to \infty$, to the distribution of eigenvalues of large random matrices from the Unitary Ensemble.

R. Agra 1, F. van Wijland 1, E. Trizac 2 European Journal of Physics 27 (2006) 407-412 We compare two widespread formulations of the mean-field approximation, based on minimizing an appropriately built mean-field free energy. We use the example of the antiferromagnetic Ising model to show that one of these formulations does not guarantee the existence of an underlying variational principle.

G. E. Astrakharchik 1, 2, D. M. Gangardt 3, Yu. E Lozovik 2, I. A. Sorokin 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 021105 We study correlation functions of the Calogero-Sutherland model in the whole range of the interaction parameter. Using the replica method we obtain analytical expressions for the long-distance asymptotics of the one-body density matrix in addition

D. M. Gangardt 1, G. V. Shlyapnikov 1, 2 New Journal of Physics 8 (2006) 167 We consider off-diagonal correlation functions of impenetrable bosons on a lattice. By using the Jordan-Wigner transformation the one-body density matrix is represented as (Toeplitz) determinant of a matrix of fermionic Green functions. Using the replica method we calculate exactly the full long-range asymptotic behaviour

D. M. Gangardt 1, P. Pedri 2, 3, 4, L. M.N.B.F. Santos 2, 3, G. V. Shlyapnikov 1, 5 Physical Review Letters 96 (2006) 040403 We discuss the 2D Mott insulator (MI) state of a 2D array of coupled finite size 1D Bose gases. It is shown that the momentum distribution in the lattice plane is very sensitive to the interaction regime in the 1D tubes. In particular,

S. Ciliberti 1, M. Mezard 1, R. Zecchina 2 Complexus 3 (2006) 58 The use of parity-check gates in information theory has proved to be very efficient. In particular, error correcting codes based on parity checks over low-density graphs show excellent performances. Another basic issue of information theory, namely data compression, can be addressed in a similar way by a kind

Patricio Leboeuf 1, Jérôme Roccia 1 Physical Review Letters 97 (2006) 010401 We compute the level density of a two–component Fermi gas as a function of the number of particles, angular momentum and excitation energy. The result includes smooth low–energy corrections to the leading Bethe term (connected to a generalization of the partition problem and Hardy–Ramanujan formula) plus oscillatory

David S. Dean 1, Satya N. Majumdar 2 Physical Review Letters 97 (2006) 160201 We calculate analytically the probability of large deviations from its mean of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary and symplectic ensembles. In particular, we show that the probability that all the eigenvalues of an (N\times N) random matrix are

M. R. Evans 1, 2, T. Hanney 1, 2, Satya N. Majumdar 2, 3 Physical Review Letters 97 (2006) 010602 We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this class of models is driven by interactions