title: Spatiotemporal generalization of the Harris criterion and its application to diffusive disorder.
abstract: We investigate how a clean continuous phase transition is affected by spatiotemporal disorder, i.e., by an external perturbation that fluctuates in both space and time. We derive a generalization of the Harris criterion for the stability of the clean critical behavior in terms of the space-time correlation function of the external perturbation. As an application, we consider diffusive disorder, i.e., an external perturbation governed by diffusive dynamics, and its effects on a variety of equilibrium and nonequilibrium critical points. We also discuss the relation between diffusive disorder and diffusive dynamical degrees of freedom in the example of model C of the Hohenberg-Halperin classification and comment on Griffiths singularities.
authors.affiliation: Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.
authors.forename: Thomas
authors.initials: T
authors.lastname: Vojta
authors.affiliation: Departamento de Física, ICEx, Universidade Federal de Minas Gerais, 30123-970, Belo Horizonte, Minas Gerais, Brazil.
authors.forename: Ronald
authors.initials: R
authors.lastname: Dickman