2001

Moses, D., Wang, J., Heeger, A.J., Kirova, N., Brazovskii, S. PNAS 58 (2001) 13496-13505.

Eugene Bogomolny 1, Ulrich Gerland 2, Charles Schmit 1 European Physical Journal B 19 (2001) 121-132 We propose a plasma model for spectral statistics displaying level repulsion without long-range spectral rigidity, i.e. statistics intermediate between random matrix and Poisson statistics similar to the ones found numerically at the critical point of the Anderson metal-insulator transition in disordered systems and in certain

Denis Ullmo 1, Tatsuro Nagano 2, Steven Tomsovic 2, Harold U. Baranger 3 Physical Review B 63 (2001) 125339-1-13 We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these oscillations remain puzzling, however, particularly the statistics of spacings between conductance peaks. To

Christophe Texier 1, 2, Gilles Montambaux 2 Journal of Physics A 34 (2001) 10307-10326 We consider the scattering theory for the Schrödinger operator $-\Dc_x^2+V(x)$ on graphs made of one-dimensional wires connected to external leads. We derive two expressions for the scattering matrix on arbitrary graphs. One involves matrices that couple arcs (oriented bonds), the other involves matrices that couple vertices.

Olivier Brodier 1, Peter Schlagheck 1, Denis Ullmo 1 Physical Review Letters 87 (2001) 064101 Dynamical tunneling between symmetry related invariant tori is studied in the near-integrable regime. Using the kicked Harper model as an illustration, we show that the exponential decay of the wave functions in the classically forbidden region is modified due to coupling processes that are mediated by

Irene Giardina 1, Jean-Philippe Bouchaud 2, Marc Mézard 3 Journal of Physics A 34 (2001) L245-L252 We investigate the competition between barrier slowing down and proliferation induced superdiffusion in a model of population dynamics in a random force field. Numerical results in $d=1$ suggest that a new intermediate diffusion behaviour appears. We introduce the idea of proliferation assisted barrier crossing and

Eugene Bogomolny 1, Olivier Giraud 1, Charles Schmit 1 Communications in Mathematical Physics 222 (2001) 327-369 The 2-point correlation form factor, $K_2(\tau)$, for small values of $\tau$ is computed analytically for typical examples of pseudo-integrable systems. This is done by explicit calculation of periodic orbit contributions in the diagonal approximation. The following cases are considered: (i) plane billiards in the form

Xavier Campi 1, Hubert Krivine 1, Nicolas Sator 1 Physica A 296 (2001) 24-30 We predict that self-bound clusters of particles exist in the supercritical phase of simple fluids. These clusters, whose internal temperature is lower than the global temperature of the system, define a percolation line that starts at the critical point. This line should be physically observable. Possible experiments

Stéphane Ouvry 1 Physics Letters B 510 (2001) 335 In order to achieve a dimensional reduction from dimension two to one not only in phase space but also in configuration space, the lowest Landau level (LLL) projection is not sufficient. One has also, in the LLL, to take the vanishing magnetic field limit, a procedure which can

Sergei K. Nechaev 1, 2, Raphael Voituriez 1 Journal of Physics A 34 (2001) 11069-11082 he stable profile of the boundary of a plant’s leaf fluctuating in the direction transversal to the leaf’s surface is described in the framework of a model called a ‘surface à godets’. It is shown that the information on the profile is encoded in the Jacobian