We introduce a field-theoretic approach for describing the critical behavior of nonextensive systems, systems displaying global correlations among their degrees freedom, encoded by parameter q. As some applications, we report, to our knowledge, first analytical computation both universal static and dynamic q-dependent exponents O(N) vector models, valid all loop orders |q−1|<1. Then emerges new...

Abstract We propose a phase-field theory for enriched continua. To generalize classical models, we derive the gradient based on balances of microforces, microtorques, and mass. focus materials where second gradients phase field describe long-range interactions. By considering nontrivial interaction inside body, described by boundary-edge microtraction, characterize existence hypermicrotraction ...