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16:2616:26, 23 January 2026 L2 ICFP (hist | edit) [7,750 bytes] Rosso (talk | contribs) (Created page with "= Edwards–Wilkinson model: thermal interfaces = == Interfaces and manifolds == Many physical systems are governed by elastic manifolds embedded in a higher-dimensional medium. Typical examples include domain walls in ferromagnets, dislocations in crystals, vortex lines in superconductors, and propagating fronts. We introduce the following notation: * <math>d</math>: internal dimension of the manifold * <math>N</math>: dimension of the displacement (or height) fie...")

13:2713:27, 18 January 2026 H 1 (hist | edit) [6,616 bytes] Rosso (talk | contribs) (Created page with "We are interested in the asymptotic behavior of the cumulative distribution <math>P(E)</math> in the left tail <math>E\to -\infty</math>, since the minimum is controlled by the regime where <math>M P(E)=O(1)</math>. Starting from the Gaussian distribution with zero mean and variance <math>\sigma^2</math>, we write the cumulative as <center><math> P(E) = \int_{-\infty}^E \frac{dx}{\sqrt{2\pi\sigma^2}} \, e^{-x^2/2\sigma^2}. </math></center> Using integration by parts (o...")

06:1906:19, 13 January 2026 L1 ICTS (hist | edit) [19,810 bytes] Rosso (talk | contribs) (Created page with "<strong>Goal: </strong> Spin glass transition. From the experiments with the anomaly on the magnetic susceptibility to order parameter of the transition. We will discuss the arguments linked to extreme value statistics = Spin glass Transition = Spin glass behavior was first observed in experiments with non-magnetic metals (such as Cu, Fe, Au, etc.) doped with a small percentage of magnetic impurities, typically Mn. At low doping levels, the magnetic moments of Mn...")

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