2014

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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Quasiparticle spectroscopy as a probe of the topological phase in graphene with heavy adatoms

Paul Soulé 1, 2 Marcel Franz 2, 3 4 pages, 2 figures; Version 2 : references added, minor changes. 2014 Electrons in graphene with heavy adatoms (such as In or Tl) have been predicted to form a 2D topological insulator phase with a substantial spectral gap potentially suitable for future practical applications. In order to

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Phase transitions in the condition number distribution of Gaussian random matrices

Isaac Pérez Castillo 1 Eytan Katzav 2 Pierpaolo Vivo 3, 4 Physical Review E, American Physical Society, 2014, 90, pp.050103 We study the statistics of the condition number $\kappa=\lambda_{\mathrm{max}}/\lambda_{\mathrm{min}}$ (the ratio between largest and smallest squared singular values) of $N\times M$ Gaussian random matrices. Using a Coulomb fluid technique, we derive analytically and for large

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Phase transitions and edge scaling of number variance in Gaussian random matrices

Ricardo Marino 1 Satya N. Majumdar 1 Grégory Schehr 1 Pierpaolo Vivo 1 Physical Review Letters, American Physical Society, 2014, 112, pp.254101 We consider $N\times N$ Gaussian random matrices, whose average density of eigenvalues has the Wigner semi-circle form over $[-\sqrt{2},\sqrt{2}]$. For such matrices, using a Coulomb gas technique, we compute the large $N$ behavior

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One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers

Aurélien Grabsch 1 Christophe Texier 2 Yves Tourigny 3 Journal of Statistical Physics, Springer Verlag (Germany), 2014, 155, pp.237-276 We study the one-dimensional Schrödinger equation with a disordered potential of the form $V (x) = \phi(x)^2+\phi'(x) + \kappa(x) $ where $\phi(x)$ is a Gaussian white noise with mean $\mu g$ and variance $g$, and $\kappa(x)$

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