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.
T. Vojta and R. Dickman, "Spatio-temporal Generalization of the Harris Criterion and Its Application to Diffusive Disorder," Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 93, no. 3, American Physical Society (APS), Mar 2016.
The definitive version is available at https://doi.org/10.1103/PhysRevE.93.032143
Center for High Performance Computing Research
Keywords and Phrases
Condensed Matter Physics; Physics; Continuous Phase Transitions; Critical Behavior; Diffusive Dynamics; External Perturbations; Griffiths Singularities; Hohenberg-Halperin Classifications; Space-Time Correlation Function; Spatiotemporal Disorders; Degrees of Freedom (Mechanics)
International Standard Serial Number (ISSN)
Article - Journal
© 2016 American Physical Society (APS), All rights reserved.