PMID: 11308758Apr 20, 2001Paper

Chaotic advection near a three-vortex collapse

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Xavier LeonciniG. M. Zaslavsky

Abstract

Dynamical and statistical properties of tracer advection are studied in a family of flows produced by three point-vortices of different signs. Tracer dynamics is analyzed by numerical construction of Poincaré sections, and is found to be strongly chaotic: advection pattern in the region around the center of vorticity is dominated by a well developed stochastic sea, which grows as the vortex system's initial conditions are set closer to those leading to the collapse of the vortices; at the same time, the islands of regular motion around vortices, known as vortex cores, shrink. An estimation of the core's radii from the minimum distance of vortex approach to each other is obtained. Tracer transport was found to be anomalous: for all of the three numerically investigated cases, the variance of the tracer distribution grows faster than a linear function of time, corresponding to a superdiffusive regime. The transport exponent varies with time decades, implying the presence of multi-fractal transport features. Yet, its value is never too far from 3/2, indicating some kind of universality. Statistics of Poincaré recurrences is non-Poissonian: distributions have long power-law tails. The anomalous properties of tracer statistics are t...Continue Reading

References

Feb 1, 1986·Physical Review A: General Physics·T C HalseyB I Shraiman
Sep 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G M ZaslavskyH Weitzner
May 27, 1991·Physical Review Letters·G F CarnevaleW R Young
Dec 30, 1991·Physical Review Letters·P TabelingH Willaime
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L Kuznetsov, G M Zaslavsky
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Sire, P H Chavanis
Jun 5, 2003·Chaos·Vered Rom-Kedar, George Zaslavsky

❮ Previous
Next ❯

Citations

May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xavier Leoncini, George M Zaslavsky
Sep 27, 2018·Physical Review. E·Gualtiero Badin, Anna M Barry
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R BachelardM Vittot
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gábor DrótosGergely Kovács
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xavier LeonciniGeorge M Zaslavsky

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Xavier Leoncini, G. M. Zaslavsky
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
L Kuznetsov, G. M. Zaslavsky
© 2021 Meta ULC. All rights reserved