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Statistics of the first passage time of Brownian motion conditioned by maximum value or area

Michael J. Kearney 1 Satya N. Majumdar 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.465001 We derive the moments of the first passage time for Brownian motion conditioned by either the maximum value or the area swept out by the motion. These quantities are the natural

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Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization

Lavarélo Arthur 1 Roux Guillaume 1 The European Physical Journal B, Springer, 2014, 87, pp.229 The excitation spectrum of the frustrated spin-$1/2$ Heisenberg chain is reexamined using variational and exact diagonalization calculations. We show that the overlap matrix of the short-range resonating valence bond states basis can be inverted which yields tractable equations for single

Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization Lire la suite »

Spectral density of the quantum Ising model in two fields: Gaussian and multi-Gaussian approximations

Y. Y. Atas 1 E. Bogomolny 1 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.335201 Spectral density of quantum Ising model in two fields for large but finite number of spins $N$, is discussed in detail. When all coupling constants are of the same order, spectral densities

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SO(5) symmetry in the quantum Hall effect in graphene

Fengcheng Wu 1 Inti Sodemann 1 Yasufumi Araki 1 Allan H. MacDonald 1 Thierry Jolicoeur 2 Physical Review B (Condensed Matter), American Physical Society, 2014, pp.235432 Electrons in graphene have four flavors associated with low-energy spin and valley degrees of freedom. The fractional quantum Hall effect in graphene is dominated by long-range Coulomb interactions which

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Scaling properties of field-induced superdiffusion in Continous Time Random Walks

R. Burioni 1, 2 G. Gradenigo 3, 4 A. Sarracino 3 A. Vezzani 5, 6 A. Vulpiani 7 Small system nonequilibrium fluctuations, dynamics and stochastics, and anomalous behavior, China. 62, pp.514, 2014, Communications in Theoretical Physics We consider a broad class of Continuous Time Random Walks with large fluctuations effects in space and time distributions:

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Scaling description of the yielding transition in soft amorphous solids at zero temperature

Jie Lin 1, 2 Edan Lerner 3 Alberto Rosso 4 Matthieu Wyart 3 Proceedings of the National Academy of Sciences U S A, National Academy of Sciences, 2014, 111, pp.14382 Yield stress materials flow if a sufficiently large shear stress is ap- plied. Although such materials are ubiquitous and relevant for indus- try, there is

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Reweighted belief propagation and quiet planting for random K-SAT

Florent Krzakala 1 Marc Mézard 2, 3 Lenka Zdeborová 4 Journal on Satisfiability, Boolean Modeling and Computation, IOS Press, 2014, 8, pp.149 We study the random K-satisfiability problem using a partition function where each solution is reweighted according to the number of variables that satisfy every clause. We apply belief propagation and the related cavity

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Relevance of electron spin dissipative processes on Dynamic Nuclear Polarization via Thermal Mixing

Sonia Colombo Serra 1 Marta Filibian 2 Pietro Carretta 3 Alberto Rosso 4 Fabio Tedoldi 1 Physical Chemestry Chemical Physics, 2014, 16, pp.753-764 The available theoretical approaches aiming at describing Dynamic Nuclear spin Polarization (DNP) in solutions containing molecules of biomedical interest and paramagnetic centers are not able to model the behaviour observed upon varying

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