2010

Decomposition of spectral density in individual eigenvalue contributions

O. Bohigas 1, M. P. Pato 1, 2 Journal of Physics A Mathematical and Theoretical 43 (2010) 365001 The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishart covariant matrices, are decomposed in the contributions of each individual eigenvalue distribution. It is shown that the fluctuations of all eigenvalues, for medium matrix sizes, are described […]

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Critical interface: twisting spin glasses at $T_c$

E. Brézin 1, S. Franz 2, G. Parisi 3, 4 Physical Review B 82 (2010) 144427 We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferromagnetic system and leads to the definition of an interface free-energy that is positively defined and that should scale

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Constraints on stable equilibria with fluctuation-induced forces

Sahand Jamal Rahi 1, Mehran Kardar 1, Thorsten Emig 2, 3 Physical Review Letters 105 (2010) 070404 We examine whether fluctuation-induced forces can lead to stable levitation. First, we analyze a collection of classical objects at finite temperature that contain fixed and mobile charges, and show that any arrangement in space is unstable to small perturbations in position. This extends Earnshaw’s theorem

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Condensation Transition in Polydisperse Hard Rods

M. R. Evans 1, S. N. Majumdar 2, I. Pagonabarraga 3, E. Trizac 2 The Journal of Chemical Physics 132 (2010) 014102 We study a mass transport model, where spherical particles diffusing on a ring can stochastically exchange volume $v$, with the constraint of a fixed total volume $V=\sum_{i=1}^N v_i$, $N$ being the total number of particles. The particles, referred to as $p$-spheres,

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Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition

R. Yusupov 1, T. Mertelj 1, V. V. Kabanov 1, S. Brazovskii 2, P. Kusar 1, J. -H. Chu 3, I. R. Fisher 3, D. Mihailovic 1 Nature Physics 6 (2010) 681-684 The temporal evolution of systems undergoing symmetry breaking phase transitions (SBTs) is of great fundamental interest not only in condensed matter physics, but extends from cosmology to brain function and finance \cite{topology,Kibble,Eltsov,Finance}. However, the study of such transitions is

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Clustering properties, Jack polynomials and unitary conformal field theories

Benoit Estienne 1, Nicolas Regnault 2, Raoul Santachiara 3 Nuclear Physics B 824, 3 (2010) 539 Recently, Jack polynomials have been proposed as natural generalizations of Z_k Read-Rezayi states describing non-Abelian fractional quantum Hall systems. These polynomials are conjectured to be related to correlation functions of a class of W-conformal field theories based on the Lie algebra A_{k-1}. These theories can

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Chaotic Hamiltonian systems revisited: Survival probability

V. A. Avetisov 1, S. K. Nechaev 2, 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2010) 046211 We consider the dynamical system described by the area–preserving standard mapping. It is known for this system that $P(t)$, the normalized number of recurrences staying in some given domain of the phase space at time $t$ (so-clled ‘survival probability’)

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Challenges in experimental data integration within genome-scale metabolic models

Pierre-Yves Bourguignon 1, Areejit Samal 2, 3, François Képès 4, Jürgen Jost 2, 5, Olivier C. Martin 3 Algorithms for Molecular Biology : AMB 5 (2010) 20 A report of the meeting ‘Challenges in experimental data integration within genome-scale metabolic models’, Institut Henri Poincaré, Paris, October 10-11 2009, organized by the CNRS-MPG joint program in Systems Biology. 1. Genoscope-Centre national de séquençage (GENOSCOPE), CEA : DSV/IG 2.

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