Florent Krzakala 1, Lenka Zdeborová 2 Journal of Physics: Conference Series 95 (2008) 012012 We review the understanding of the random constraint satisfaction problems, focusing on the q-coloring of large random graphs, that has been achieved using the cavity method of the physicists. We also discuss the properties of the phase diagram in temperature, the connections with the glass […]
Peter Sollich 1, Satya N Majumdar 2, Alan J Bray 3 Journal of Statistical Mechanics: Theory and Experiment (2008) 11011 We consider the number and distribution of minima in random landscapes defined on non-Euclidean lattices. Using an ensemble where random landscapes are reweighted by a fugacity factor $z$ for each minimum they contain, we construct first a `two-box’ mean field theory.
Daudé, H., Mezard, M., Mora, T., Toninelli, C. Theor. Comp. Sci.393 (2008) 260-279
Pairs of SAT Assignments and Clustering in Random Boolean Formulae Lire la suite »
Silvio Franz 1, T Jorg 1, Giorgio Parisi 2 Journal of Statistical Mechanics: Theory and Experiment (2008) 02002 We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to characterize the low temperature phase of hierarchical spin-glass
Overlap Interfaces in Hierarchical Spin-Glass models Lire la suite »
T. Emig 1, 2, N. Graham 3, R. L. Jaffe 4, M. Kardar 5 Physical Review A: Atomic, Molecular and Optical Physics 79 (2008) 054901 The Casimir interaction between two objects, or between an object and a plane, depends on their relative orientations. We make these angular dependences explicit by considering prolate or oblate spheroids. The variation with orientation is calculated exactly at asymptotically
Orientation dependence of Casimir forces Lire la suite »
Michael R. Peterson 1, Th. Jolicoeur 2, S. Das Sarma 3 Physical Review B 78 (2008) 155308 The fractional quantum Hall effect (FQHE) in the second orbital Landau level at filling factor 5/2 remains enigmatic and motivates our work. We consider the effect of the quasi-2D nature of the experimental FQH system on a number of FQH states (fillings 1/3, 1/5,
Satya N. Majumdar 1, Jean-Philippe Bouchaud 2 Quantitative Finance 8 (2008) 753-760 We reconsider the problem of optimal time to sell a stock studied recently by Shiryaev, Xu and Zhou using path integral methods. This method allows us to confirm the results obtained by these authors and extend them to a parameter region inaccessible to the method used by
Majumdar, S.N., Randon-Furling, J., Kearney, M.J., Yor, M. Journal of Physics A41 (2008) 365005
On the time to reach maximum for a variety of constrained Brownian motions Lire la suite »
F. H. L. Essler 1, G. V. Shlyapnikov 2, 3, A. M. Tsvelik 4 Journal of Statistical Mechanics: Theory and Experiment (2008) 020027 We consider a model of one dimensional spin-1 bosons with repulsive density-density interactions and antiferromagnetic exchange. We show that the low energy effective field theory is given by a spin-charge separated theory of a Tomonaga-Luttinger Hamiltonian and the O(3)
On the spin-liquid phase of one dimensional spin-1 bosons Lire la suite »
Christophe Texier 1, 2 Journal of Physics A General Physics 41 (2008) 085207 We consider a metric graph $\mathcal{G}$ made of two graphs $\mathcal{G}_1$ and $\mathcal{G}_2$ attached at one point. We derive a formula relating the spectral determinant of the Laplace operator $S_\mathcal{G}(\gamma)=\det(\gamma-\Delta)$ in terms of the spectral determinants of the two subgraphs. The result is generalized to
