Laminated wave turbulence: Generic algorithms iii

Elena Kartashova and Alexey Kartashov

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 66-74

Abstract: Model of laminated wave turbulence allows to study statistical and discrete layers of turbulence in the frame of the same model. Statistical layer is described by Zakharov–Kolmogorov energy spectra in the case of irrational enough dispersion function. Discrete layer is covered by some system(s) of Diophantine equations while their form is determined by wave dispersion function. This presents a very special computational challenge to solve Diophantine equations in many variables, usually 6 to 8, in high degrees, say 16, in integers of order 1016 and more. Generic algorithms for solving this problem in the case of irrational dispersion function have been presented in our previous papers (corresponds to many types of water waves). In this paper, we present a new algorithm for the case of rational dispersion functions (atmospheric planetary waves, drift waves, etc.)

Keywords: Laminated wave turbulence; Discrete wave systems; Computations in integers; Algebraic numbers; Complexity of algorithm (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437107002178
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:66-74

DOI: 10.1016/j.physa.2007.02.098

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().