publications

A. G. Percus 1, O. C. Martin 2 Advances in Applied Mathematics 21 (1998) 424-436 Take N sites distributed randomly and uniformly on a smooth closed surface. We express the expected distance from an arbitrary point on the surface to its kth-nearest neighboring site, in terms of the function A(l) giving the area of a disc of radius l […]

N. Pavloff 1, C. Schmit 1 Physical Review B 58 (1998) 4942-4951 We study the thermally activated oscillations, or capillary waves, of a neutral metal cluster within the liquid drop model. These deformations correspond to a surface roughness which we characterize by a single parameter $\\Delta$. We derive a simple analytic approximate expression determining $\\Delta$ as a function of

Daniel Fisher 1, Pierre Le Doussal 2, Cecile Monthus 3 Physical Review Letters 80 (1998) 3539-3542 Sinai\’s model of diffusion in one-dimension with random local bias is studied by a real space renormalization group which yields asymptotically exact long time results. The distribution of the position of a particle and the probability of it not returning to the origin are obtained,

Fisher, D., Le Doussal P., , Monthus, C. Physical Review Letters80 (1998) 3539-3542

Alain Comtet 1, Sergei K. Nechaev 1, 2 Journal of Physics A 31 (1998) 5609-5630 We investigate analytically the problem of enumeration of nonequivalent primitive words in the braid group B_n for n >> 1 by analysing the random word statistics and the target space on the basis of the locally free group approximation. We develop a \’symbolic dynamics\’ method for

Serguei B. Isakov 1, 2 Physics Letters A 242 (1998) 130-138 We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We discuss both equilibrium (specific heat, compressibility, and Pauli spin susceptibility) and nonequilibrium

Nechaev, S. Soviet Physics Uspekhi168 (1998) 369

C. Monthus 1, O. Golinelli 2, Th. Jolicoeur 2 Physical Review B 58 (1998) 805-815 We formulate a real-space renormalization scheme that allows the study of the effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain. There are four types of bonds that appear during the renormalization flow. We implement numerically the decimation procedure. We give a detailed study of

Jean Desbois 1, Stephane Ouvry 1, Christophe Texier 1 Nuclear Physics B 528 (1998) 727-745 Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the « classical\’\’ relationship between current and magnetization is shown to hold for systems invariant both

P. Leboeuf 1 Physica D: Nonlinear Phenomena 116 (1998) 8-20 Chaotic deterministic dynamics of a particle can give rise to diffusive Brownian motion. In this paper, we compute analytically the diffusion coefficient for a particular two-dimensional stochastic layer induced by the kicked Harper map. The variations of the transport coefficient as a parameter is varied are analyzed