Crossover From Self-Similar to Self-Affine Structures in Precolation

Frey, E.Täuber, Uwe C.Schwabl, Franz2019-12-292019-12-291994-05-200295-5075NN352http://hdl.handle.net/10919/96229We study the crossover from self-similar scaling behavior to asymptotically self-affine (anisotropic) structures. As an example, we consider bond percolation with one preferred direction. Our theory is based on a field-theoretical representation, and takes advantage of a renormalization group approach designed for crossover phenomena. We calculate effective exponents for the connectivity describing the entire crossover region from isotropic to directed percolation, and predict at which scale of the anisotropy the crossover should occur. We emphasize the broad range of applicability of our method.Pages 413-4186 page(s)In CopyrightPhysical SciencesPhysics, MultidisciplinaryPhysicsRENORMALIZED FIELD-THEORYDIPOLAR FERROMAGNETSCRITICAL-DYNAMICSSTATIC CROSSOVERMODELSCOEXISTENCEcond-mat01 Mathematical Sciences02 Physical SciencesFluids & PlasmasCrossover From Self-Similar to Self-Affine Structures in PrecolationArticle - Refereed2019-12-29Europhysics Lettershttps://doi.org/10.1209/0295-5075/26/6/003266Tauber, Uwe [0000-0001-7854-2254]1286-4854