Spectral determinant of Schrodinger Operators on graphs
Desbois, J. Journal of Physics A : Math. Gen. 33 (2000) L63-L67
Spectral determinant of Schrodinger Operators on graphs Lire la suite »
Desbois, J. Journal of Physics A : Math. Gen. 33 (2000) L63-L67
Spectral determinant of Schrodinger Operators on graphs Lire la suite »
Jérôme Houdayer 1, Olivier C. Martin 1 Physical Review Letters 84 (2000) 1057 The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper, Marinari, Parisi and Zuliani
Reply to Comment on ‘Ising Spin Glasses in a Magnetic Field’ Lire la suite »
P. Leboeuf 1 Journal de Physique IV Colloque 10 (2000) Pr5-45-52 It is well known that the joint probability density of the eigenvalues of Gaussian ensembles of random matrices may be interpreted as a Coulomb gas. We review these classical results for hermitian and complex random matrices, with special attention devoted to electrostatic analogies. We also discuss
Random matrices, random polynomials and Coulomb systems Lire la suite »
Jens Marklof 1, 2, Zeev Rudnick GAFA Geometric And Functional Analysis 10 (2000) 1554-1578 We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of quantum observables converge to the classical phase-space average with respect to Liouville measure of the corresponding classical
Quantum unique ergodicity for parabolic maps Lire la suite »
Ken-Ichiro Imura 1 European Physical Journal B 15 (2000) 155-160 Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the tunneling conductance $G$. We find a selection rule for the sequence which begins
Plateau transitions in fractional quantum Hall liquids Lire la suite »
Brazovskii, S., Kirova, N., Requardt, H., Ya., Nad, Monceau, P., Currat, R., Lorenzo, J.E., Gruebel, G., Vettier, Ch. Physical Review B 61 (2000) 10640-10650
Monceau P. Rideau, D., Requardt, H., Currat, R., Nad, F., Lorenzo, J.E., Brazovskii, S., Kirova, N., Smilgies, D., Grubel, G. Physica B 280 (2000) 317-322
Phase slippage at the interface : normal metal/sliding charge-density wave Lire la suite »
Cecile Monthus 1 European Physical Journal B 13 (2000) 111-130 To study the localization of random heteropolymers at an interface separating two selective solvents within the model of Garel, Huse, Leibler and Orland, Europhys. Lett. {\\bf 8} 9 (1989), we propose an approach based on a disorder-dependent real space renormalization procedure. This approach allows to recover that
Jesper Lykke Jacobsen 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 61 (2000) R6060-R6062 We numerically calculate the exponent for the disorder averaged and fixed-sample decay of the energy-energy correlator in the q-state random-bond Potts model. Our results are in good agreement with a two-loop expansion (cond-mat/9910181) around q=2 recently found from perturbative renormalisation group
Multiscaling of energy correlations in the random-bond Potts model Lire la suite »
R. Voituriez 1, S. Nechaev 1, 2 Journal of Physics A 33 (2000) 5631-5652 Multifractal properties of the distribution of topological invariants for a model of trajectories randomly entangled with a nonsymmetric lattice of obstacles are investigated. Using the equivalence of the model to random walks on a locally nonsymmetric tree, statistical properties of topological invariants, such as drift and
Multifractality of entangled random walks and non-uniform hyperbolic spaces Lire la suite »