2006

Level density of a Fermi gas: average growth and fluctuations

Patricio Leboeuf 1, Jérôme Roccia 1 Physical Review Letters 97 (2006) 010401 We compute the level density of a two–component Fermi gas as a function of the number of particles, angular momentum and excitation energy. The result includes smooth low–energy corrections to the leading Bethe term (connected to a generalization of the partition problem and Hardy–Ramanujan formula) plus oscillatory […]

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Large Deviations of Extreme Eigenvalues of Random Matrices

David S. Dean 1, Satya N. Majumdar 2 Physical Review Letters 97 (2006) 160201 We calculate analytically the probability of large deviations from its mean of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary and symplectic ensembles. In particular, we show that the probability that all the eigenvalues of an (N\times N) random matrix are

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Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

P. Di Francesco 1, Paul Zinn-Justin 2 Communications in Mathematical Physics 262 (2006) 459-487 We consider a quantum integrable inhomogeneous model based on the Brauer algebra B(1) and discuss the properties of its ground state eigenvector. In particular we derive various sum rules, and show how some of its entries are related to multidegrees of algebraic varieties. 1. Service

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How long does it take to pull an ideal polymer into a small hole?

A. Y. Grosberg 1, 2, S. Nechaev 1, 3, M. Tamm 1, 4, O. Vasilyev 3, 5 Physical Review Letters 96 (2006) 228105 We present scaling estimates for characteristic times $\tau_{\rm lin}$ and $\tau_{\rm br}$ of pulling ideal linear and randomly branched polymers of $N$ monomers into a small hole by a force $f$. We show that the absorbtion process develops as sequential straightening of folds of

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From simple to complex networks: inherent structures, barriers and valleys in the context of spin glasses

Z. Burda, A. Krzywicki 1, O. C. Martin 2, Z. Tabor Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 036110 Given discrete degrees of freedom (spins) on a graph interacting via an energy function, what can be said about the energy local minima and associated inherent structures? Using the lid algorithm in the context of a spin glass

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