2010

Satya N. Majumdar 1, Alain Comtet 1, Julien Randon-Furling 2 Journal of Statistical Physics 138, 6 (2010) 955-1009 In this paper we study the statistical properties of convex hulls of $N$ random points in a plane chosen according to a given distribution. The points may be chosen independently or they may be correlated. After a non-exhaustive survey of the somewhat sporadic […]

Roya Zandi 1, Thorsten Emig 2, 3, Umar Mohideen 1 Physical Review B 81 (2010) 195423 We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically large separations we obtain analytical results for the

Nicolas Destainville 1, Bertrand Georgeot 1, Olivier Giraud 1, 2 Physical Review Letters 104 (2010) 250502 We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics systems. The algorithm is based on recently developed exact Monte Carlo sampling methods, and yields a polynomial gain

P. Sulc 1, A. Wagner 2, 3, O. C. Martin 1, 4 Journal of Bioinformatics and Computational Biology 8 (2010) 1027-1040 We re-examine the evolutionary dynamics of RNA secondary structures under directional selection towards an optimum RNA structure. We find that the punctuated equilibria lead to a very slow approach to the optimum, following on average an inverse power of the evolutionary time.

Olivier Giraud 1, 2, Petr A. Braun 3, 4, Daniel Braun 1 New Journal of Physics 12 (2010) 063005 We introduce a measure of  »quantumness » for any quantum state in a finite dimensional Hilbert space, based on the distance between the state and the convex set of classical states. The latter are defined as states that can be written as a convex sum

Alain Comtet 1, 2, Christophe Texier 2, 3, Yves Tourigny 4 Journal of Statistical Physics 140 (2010) 427-466 To every product of $2\times2$ matrices, there corresponds a one-dimensional Schr\'{o}dinger equation whose potential consists of generalised point scatterers. Products of {\em random} matrices are obtained by making these interactions and their positions random. We exhibit a simple one-dimensional quantum model corresponding to the most

Pierpaolo Vivo 1, Satya N. Majumdar 2, Oriol Bohigas 2 Physical Review B 81 (2010) 104202 We establish large deviation formulas for linear statistics on the $N$ transmission eigenvalues $\{T_i\}$ of a chaotic cavity, in the framework of Random Matrix Theory. Given any linear statistics of interest $A=\sum_{i=1}^N a(T_i)$, the probability distribution $\mathcal{P}_A(A,N)$ of $A$ generically satisfies the large deviation formula

Brazovskii, S., Kirova, N. Chemical Society Review39 (2010) 2453-2465

Javier Almeida 1, Guillaume Roux 2, Didier Poilblanc 1 Physical Review B 82 (2010) 041102 Motivated by Resonant X-ray scattering experiments in cuprate ladder materials showing charge order modulation of period $\lambda=3$ and 5 at specific hole densities, we investigate models involving the electronic t-J ladders and bosonic chains coupled via screened Coulomb repulsion. Extensive density matrix renormalization group calculations applied

V. A. Avetisov 1, S. K. Nechaev 2, 3, 4, A. B. Shkarin 5 Physica A: Statistical Mechanics and its Applications 389, 24 (2010) 5895-5902 The distribution of motifs in random hierarchical networks defined by nonsymmetric random block–hierarchical adjacency matrices, is constructed for the first time. According to the classification of U. Alon et al of network superfamilies by their motifs distributions, our