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.

Department(s)

Physics

Research Center/Lab(s)

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)

1539-3755

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2016 American Physical Society (APS), All rights reserved.

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