2011

Field Theory of Fluctuations in Glasses

Silvio Franz 1, Giorgio Parisi 2, Federico Ricci-Tersenghi 2, Tommaso Rizzo 2 The European Physical Journal E 34 (2011) 102 We develop a field-theoretical description of dynamical heterogeneities and fluctuations in supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium arguments we eliminate time from the description and we completely characterize fluctuations in the beta regime. We identify different sources of fluctuations

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Fermionic trimers in spin-dependent optical lattices

Giuliano Orso 1, Evgeni Burovski 2, Thierry Jolicoeur 2 Comptes Rendus Physique 12 (2011) 39-46 We investigate the formation of three-body bound states (trimers) in two-component Fermi gases confined in one dimensional optical lattice with spin-dependent tunneling rates. The binding energy and the effective mass of the trimer are obtained from the solution of the Mattis integral equation generalized to the

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Extreme Value Statistics Distributions in Spin Glasses

Michele Castellana 1, 2, Aurelien Decelle 1, Elia Zarinelli 1 Physical Review Letters 107 (2011) 275701 We study the probability distribution of the pseudo-critical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick (SK) and the Edwards-Anderson (EA) model. In both cases, we put in evidence the underlying connection between the fluctuations of the pseudo-critical point and and the

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Excursions of diffusion processes and continued fractions

Alain Comtet 1, 2, Yves Tourigny 3 Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques 47 (2011) 850-874 It is well-known that the excursions of a one-dimensional diffusion process can be studied by considering a certain Riccati equation associated with the process. We show that, in many cases of interest, the Riccati equation can be solved in terms of

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Exact mean field inference in asymmetric kinetic Ising systems

M. Mezard 1, J. Sakellariou 1 Journal of statistical mechanics-theory and experiment (2011) L07001 We develop an elementary mean field approach for fully asymmetric kinetic Ising models, which can be applied to a single instance of the problem. In the case of the asymmetric SK model this method gives the exact values of the local magnetizations and the exact

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Environmental versatility promotes modularity in genome-scale metabolic networks

Areejit Samal 1, 2, Andreas Wagner 3, 4, 5, Olivier C. Martin 2, 6 BMC Systems Biology 5 (2011) 135 The ubiquity of modules in biological networks may result from an evolutionary benefit of a modular organization. For instance, modularity may increase the rate of adaptive evolution, because modules can be easily combined into new arrangements that may benefit their carrier. Conversely, modularity may emerge

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Entropy of continuous mixtures and the measure problem

P. Maynar 1, E. Trizac 2 Physical Review Letters 106 (2011) 160603 In its continuous version, the entropy functional measuring the information content of a given probability density may be plagued by a ‘measure’ problem that results from improper weighting of phase space. This issue is addressed considering a generic collision process whereby a large number of particles/agents randomly

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Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries

Noah Graham 1, Alexander Shpunt 2, Thorsten Emig 3, Sahand Jamal Rahi 2, 4, Robert L. Jaffe 2, Mehran Kardar 2 Physical Review D 83 (2011) 125007 An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two parabolic cylinders, and a parabolic cylinder and an ordinary

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