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O. Bohigas 1, M. P. Pato 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 036212 By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions towards Poisson from random matrix theory (RMT) […]

S. Sumedha 1, 2, Deepak Dhar 1 Journal of Statistical Physics 125 (2006) 55-76 We study rooted self avoiding polygons and self avoiding walks on deterministic fractal lattices of finite ramification index. Different sites on such lattices are not equivalent, and the number of rooted open walks W_n(S), and rooted self-avoiding polygons P_n(S) of n steps depend on the root

Paul Zinn-Justin 1 Electronic Journal of Combinatories 13 (2006) R110 We prove the Razumov–Stroganov conjecture relating ground state of the O(1) loop model and counting of Fully Packed Loops in the case of certain types of link patterns. The main focus is on link patterns with three series of nested arches, for which we use as key

Thorsten Emig 1, 2, Thomas Nattermann 1 Physical Review Letters 97 (2006) 177002 It is shown that the Bragg glass phase can become unstable with respect to planar defects. A single defect plane that is oriented parallel to the magnetic field as well as to one of the main axis of the Abrikosov flux line lattice is always relevant, whereas

Thorsten Emig 1, 2 Journal of Physics A 39 (2006) 6309 A new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and a rather general class of boundary conditions is introduced. We derive the boundary induced change of the density of states in terms of the free Green’s function from which we obtain both perturbative and non-perturbative

Dean, D.S., Majumdar, S.N. Journal of Statistical Physics 124 (2006) (6) 1351-1376

Alan J. Bray 1, Satya N. Majumdar 2 Journal of Physics A: Mathematical and General 39 (2006) L625-L631 We consider a non-Gaussian stochastic process where a particle diffuses in the $y$-direction, $dy/dt=\eta(t)$, subject to a transverse shear flow in the $x$-direction, $dx/dt=f(y)$. Absorption with probability $p$ occurs at each crossing of the line $x=0$. We treat the class of

Ying Jiang 1, Thorsten Emig 1, 2 Physical Review B 73 (2006) 104452 A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model from the quantum dynamics induced by a

Emmanuel Trizac 1, 2, Gabriel Tellez 3 Physical Review Letters 96 (2006) 038302 Making use of results pertaining to Painleve III type equations, we revisit the celebrated Onsager-Manning-Oosawa condensation phenomenon for charged stiff linear polymers, in the mean-field approximation with salt. We obtain analytically the associated critical line charge density, and show that it is severely affected by finite salt

E. Bogomolny 1, O. Bohigas 1, P. Leboeuf 1, A. G. Monastra 2 Journal of Physics A: Mathematical and General 39 (2006) 10743-10754 It has been conjectured that the statistical properties of zeros of the Riemann zeta function near $z = 1/2 + \ui E$ tend, as $E \to \infty$, to the distribution of eigenvalues of large random matrices from the Unitary Ensemble.