Publication:
Macroscopic response to microscopic intrinsic noise in three-dimensional fisher fronts

Loading...
Thumbnail Image
Identifiers
Publication date
2014-10-30
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
We study the dynamics of three-dimensional Fisher fronts in the presence of density fluctuations. To this end we simulate the Fisher equation subject to stochastic internal noise, and study how the front moves and roughens as a function of the number of particles in the system, N. Our results suggest that the macroscopic behavior of the system is driven by the microscopic dynamics at its leading edge where number fluctuations are dominated by rare events. Contrary to naive expectations, the strength of front fluctuations decays extremely slowly as 1/logN, inducing large-scale fluctuations which we find belong to the one-dimensional Kardar-Parisi-Zhang universality class of kinetically rough interfaces. Hence, we find that there is no weak-noise regime for Fisher fronts, even for realistic numbers of particles in macroscopic systems.
Description
Keywords
Bibliographic citation
Nesic, S., Cuerno R. y Moro, E. (2014). Macroscopic Response to Microscopic Intrinsic Noise in Three-Dimensional Fisher Fronts. Physical Review Letters, 113(18), 180602.