Enhancement of the critical slowing down influenced by extended defects

Abstract

We study an influence of the quenched extended defects on the critical dynamics of the d=3-dimensional systems with m-component non-conserved order parameter (model A dynamics). Considering defects to be correlated in ε where z is the dynamical critical exponent z [1].Study of the influence of structural disorder on the critical behaviour is an important and non-trivial task both for the theory and the experiment. For fluids, an experimental situation may be realized by a criticality of fluids in porous medium [2].Traditionally, such objects are modelled by m-vector systems with quenched uncorrelated point-like defects [3]. A more realistic description is given by models, where defects are extended in space [4,5]. Here, we present analysis of the critical dynamics for d=3-dimensional system with m-component non-conserved order parameter (model A dynamics) influenced by presence of ε d -dimensional parallel

Monte Carlo study of anisotropic scaling generated by disorder

“…The static critical behavior 16,[18][19][20][21][22] of this model as well as critical dynamics near equilibrium 19,[22][23][24] were examined by means of the RG method. A double expansion in both ε, ε d was suggested and RG functions were calculated to the first order.…”

Scaling laws for random walks in long-range correlated disordered media

“…Systems confined to media with long-range correlated disorder show a very interesting behavior, but still comparatively few properties are fully understood to date. The investigated examples include magnetic materials [36][37][38][39][40][41] and macromolecular systems [42][43][44], again mainly using field-theoretic renormalization group methods [15,16] and computer simulations [17]. Long-range correlations have also been shown to have an impact on the conductance of critical clusters and on their properties as a medium for diffusion.…”