Abstract
We study the effects of time-varying environmental noise on nonequilibrium phase transitions in spreading and growth processes. Using the examples of the logistic evolution equation as well as the contact process, we show that such temporal disorder gives rise to a distinct type of critical points at which the effective noise amplitude diverges on long time scales. This leads to enormous density fluctuations characterized by an infinitely broad probability distribution at criticality. We develop a real-time renormalization-group theory that provides a general framework for the effects of temporal disorder on nonequilibrium processes. We also discuss how general this exotic critical behavior is, we illustrate the results by computer simulations, and we touch upon experimental applications of our theory.
Recommended Citation
T. Vojta and J. A. Hoyos, "Infinite-Noise Criticality: Nonequilibrium Phase Transitions in Fluctuating Environments," EPL (Europhysics Letters), vol. 112, no. 3, Institute of Physics - IOP Publishing, Nov 2015.
The definitive version is available at https://doi.org/10.1209/0295-5075/112/30002
Department(s)
Physics
Research Center/Lab(s)
Center for High Performance Computing Research
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2015 Institute of Physics - IOP Publishing, All rights reserved.
Publication Date
01 Nov 2015
