Spatiotemporal generalization of the Harris criterion and its application to diffusive disorder
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Universidade Federal de Minas Gerais
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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 criterionfor 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.
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Fenômenos críticos, Sistemas desordenados, Transições de fase
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Fenômenos críticos, Sistemas desordenados, Transições de fase
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https://doi.org/10.1103/PhysRevE.93.032143