2011

Kolwankar, K.M., Ren, Q.S., Samal, A., Jost, J. Pramana Journal of physics77 (2011) 817-826

Gaëtan Borot 1, Bertrand Eynard 1, Satya N. Majumdar 2, Céline Nadal 2 Journal of Statistical Mechanics: Theory and Experiment (2011) P11024 We present detailed computations of the ‘at least finite’ terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in beta-ensembles, with any polynomial potential. beta is a positive number, so not restricted

Ullmo, D., Burdin, S., Liu, D.E., Baranger, H.U. Pramana Journal of Physics77 (2011) 769-779

Fabien Paillusson 1, Emmanuel Trizac 2 Physical Review E 84 (2011) 011407 Within a mean field treatment of the interaction between two oppositely charged plates in a salt free solution, the distance at which a transition from an attractive to a repulsive regime appears can be computed analytically. The mean field description however breaks down under strong coulombic couplings,

E. Bogomolny 1, O. Giraud 1, C. Schmit 1 Nonlinearity 24 (2011) 3179-3213 We propose new classes of random matrix ensembles whose statistical properties are intermediate between statistics of Wigner-Dyson random matrices and Poisson statistics. The construction is based on integrable N-body classical systems with a random distribution of momenta and coordinates of the particles. The Lax matrices of these systems

O. Bohigas 1, M. P. Pato 2 Physical Review E 84 (2011) 031121 Using the simple procedure, recently introduced, of dividing Gaussian matrices by a positive random variable, a family of random matrices is generated characterized by a behavior ruled by the generalized hyperbolic distribution. The spectral density evolves from the semi-circle law to a Gaussian-like behavior while concomitantly

Satya N. Majumdar 1, Céline Nadal 1, Antonello Scardicchio 2, 3, Pierpaolo Vivo 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 (2011) 041105 We study the probability distribution of the index ${\mathcal N}_+$, i.e., the number of positive eigenvalues of an $N\times N$ Gaussian random matrix. We show analytically that, for large $N$ and large $\mathcal{N}_+$ with the fraction $0\le c=\mathcal{N}_+/N\le

Th. Jolicoeur 1, Jean-Gabriel Luque 2 Journal of Physics A Mathematical and Theoretical, 44 (2011) 055204 Fractional quantum Hall states of particles in the lowest Landau levels are described by multivariate polynomials. The incompressible liquid states when described on a sphere are fully invariant under the rotation group. Excited quasiparticle/quasihole states are member of multiplets under the rotation group

Mezard, M., Toninelli, C. IEEE Transactions on Information Theory57 (2011) 1736-1745

Sahand Jamal Rahi 1, 2, Thorsten Emig 3, Robert L. Jaffe 1 Casimir Physics (2011) vol. 834, 129-174 We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed in media other than vacuum, to nonzero temperatures, and to spatial