Publication:
Unstable nonlocal interface dynamics

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/6872
ISSN: 0031-9007 (Print)
ISSN: 1079-7114 (Online)
DOI: https://www.doi.org/10.1103/PhysRevLett.102.256102
Files
unstable_cuerno_prl_2009_ps.pdf (943.75 KB)
Publication date
2009-06-26
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
The American Physical Society
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
Nonlocal effects occur in many nonequilibrium interfaces, due to diverse physical mechanisms like diffusive, ballistic, or anomalous transport, with examples from flame fronts to thin films. While dimensional analysis describes stable nonlocal interfaces, we show the morphologically unstable condition to be nontrivial. This is the case for a family of stochastic equations of experimental relevance, paradigmatically including the Michelson-Sivashinsky system. For a whole parameter range, the asymptotic dynamics is scale invariant with dimension-independent exponents reflecting a hidden Galilean symmetry. The usual Kardar-Parisi-Zhang nonlinearity, albeit irrelevant in that parameter range, plays a key role in this behavior.
Description
4 pages, 2 figures.-- PACS nrs.: 68.35.Ct, 05.45.−a, 47.54.−r.
Keywords
[PACS] Interface structure and roughness, [PACS] Nonlinear dynamics and chaos, [PACS] Pattern selection; pattern formation
Bibliographic citation
Physical Review Letters 102, 256102 (2009)
Collections
DM - GISC - Artículos de Revistas