We study the asymptotic properties of fracture strength distributions of disordered elastic media by a combination of renormalization group, extreme value theory, and numerical simulation. We investigate the validity of the "weakest-link hypothesis" in the presence of realistic long-ranged interactions in the random fuse model. Numerical simulations indicate that the fracture strength is well-d...

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Achoimre Is ag tús an fichiú haois a cuireadh síolta litríocht Ghaeilge na n‑óg mar thuigtear dúinn anois í. Tugann t‑alt seo spléachadh ar fhorbairt le 120 bliain anuas: baic bhí sárú údair agus foilsitheoirí sna luathbhlianta, dul chun cinn atá déanta, dúshláin bhaineann sa lá inniu ann. Léiríonn gur fearann fireann i n‑óg, idir scríbhneoirí spriocléitheoirí, chéad leath den fhichiú haois, ac...

The concept of midpoint percolation has recently been applied to characterize the double percolation transitions in negatively curved structures. Regular d-dimensional hypercubic lattices are investigated in the present work using the same concept. Specifically, the site-percolation transitions at the critical thresholds are investigated for dimensions up to d=10 by means of the Leath algorithm...

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...