Published July 5, 1993
| Version v1
Journal article
Universal properties of the two-dimensional Kuramoto-Sivashinsky equation
Creators
- 1. Department of Physics, The Ohio State University, Columbus, Ohio 43210 (United States)
- 2. Department of Physics, Indian Institute of Science, Bangalore, 560012 (India)
Description
We investigate the properties of the Kuramoto-Sivashinsky equation in two spatial dimensions. We show by an explicit, numerical, coarse-graining procedure that its long-wavelength properties are described by a stochastic, partial differential equation of the Kardar-Parisi-Zhang type. From the computed parameters in our effective, stochastic equation we argue that the length and time scales over which the correlation functions cross over from linear diffusive to those of the full nonlinear equation are very large. The behavior of the three-dimensional equation is also discussed
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 71
- Journal Issue
- 1
- Journal Page Range
- p. 12-15.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24073890
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- CORRELATION FUNCTIONS; FLUCTUATIONS; MORPHOLOGY; PARTIAL DIFFERENTIAL EQUATIONS; SCALE INVARIANCE; STOCHASTIC PROCESSES; THIN FILMS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; WAVELENGTHS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FILMS; FUNCTIONS; INVARIANCE PRINCIPLES; VARIATIONS