PMID: 15244910Jul 13, 2004Paper

Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Guido CiraoloPhilippe Ghendrih

Abstract

It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian system with 1.5 degrees of freedom which models the diffusion of charged test particles in a turbulent electric field across the confining magnetic field in controlled thermonuclear fusion devices. Though still far from practical applications, this result suggests that some strategy to control turbulent transport in magnetized plasmas, in particular, tokamaks, is conceivable. The robustness of the control is investigated in terms of a departure from the optimum magnitude, of a varying cutoff at large wave vectors, and of random errors on the phases of the modes. In all three cases, there is a significant region of maximum efficiency in the vicinity of the optimum control term.

References

Jul 1, 1988·Physical Review A: General Physics·M PettiniR Balescu
Jan 15, 1990·Physical Review. a·R Lima, M Pettini
Feb 1, 1995·Physical Review. a·J BotinaN Rahman
Jan 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y C LaiC Grebogi
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y C LaiC Grebogi
Feb 21, 1994·Physical Review Letters·C C Chow, J R Cary
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y Zhang, Y Yao
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y ZhangY Yao
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H XuS Chen
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B Doyon, L J Dubé
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Oloumi, D Teychenné
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julyan H E CartwrightOreste Piro
Jan 7, 2003·Physical Review Letters·Leszek Sirko, Peter M Koch
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin GongPaul Brumer

❮ Previous
Next ❯

Citations

Mar 31, 2005·Annual Review of Physical Chemistry·Jiangbin Gong, Paul Brumer
Oct 3, 2014·Chaos·Benjamin CambonXavier Garbet
Mar 24, 2005·Physical Review Letters·C ChandreM Vittot
Mar 17, 2017·Physical Review. E·Oltiana GjataTimoteo Carletti
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yossi Ben Zion, Lawrence Horwitz
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M C de SousaF M Steffens

❮ 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 Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Y ZhangY Yao
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jiangbin GongPaul Brumer
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Y C LaiC Grebogi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H XuS Chen
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Julyan H E CartwrightOreste Piro
© 2022 Meta ULC. All rights reserved