Self-Organization of Hot Plasmas

The Canonical Profile Transport Model

Authors: Dnestrovskij, Yu.N.

  • Introduces a totally new and general approach to the description of transport in hot plasmas
  • Presents the first mathematical model of plasma discharges that includes the effect of self organization
  • Enables the description of very different operational scenarios in tokamaks
  • Offers a useful mathematical tool for the analysis of experimental data and the prediction of plasma parameters in new experiments
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-06802-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-06801-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-35711-9
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

In this monograph the author presents the Canonical Profile Transport Model or CPTM as a rather general mathematical framework to simulate plasma discharges.

The description of hot plasmas in a magnetic fusion device is a very challenging task and many plasma properties still lack a physical explanation. One important property is plasma self-organization.

It is very well known from experiments that the radial profile of the plasma pressure and temperature remains rather unaffected by changes of the deposited power or plasma density. The attractiveness of the CPTM is that it includes the effect of self-organization in the mathematical model without having to recur to particular physical mechanisms.

The CPTM model contains one dimensional transport equations for ion and electron temperatures, plasma density and toroidal rotation velocity. These equations are well established and in fact are essentially a reformulation the laws of energy, particle and momentum conservation. But the expressions for the energy and particle fluxes, including certain critical gradients, are new. These critical gradients can be determined using the concept of canonical profiles for the first time formulated in great detail in the book. This concept represents a totally new approach to the description of transport in plasmas. Mathematically, the canonical profiles are formulated as a variational problem. To describe the temporal evolution of the plasma profiles, the Euler equation defining the canonical profiles is solved together with the transport equations at each time step. The author shows that in this way it is possible to describe very different operational scenarios in tokamaks (L-Mode, H-Mode, Advanced Modes, Radiating Improved Modes etc…), using one unique principle.

The author illustrates the application of this principle to the simulation of plasmas on leading tokamak devices in the world (JET, MAST, T-10, DIII-D, ASDEX-U, JT-60U). In all cases the small differences between the calculated profiles for the ion and electron temperatures and the experimental is rather confirm the validity of the CPTM. In addition, the model also describes the temperature and density pedestals in the H-mode and non steady-state regimes with current and density ramp up. The proposed model therefore provides a very useful mathematical tool for the analysis of experimental results and for the prediction of plasma parameters in future experiments.

About the authors

Prof. Y.N. Dnestrovskii is a worldwide recognized authority in the field of simulations of fusion plasmas. His ideas have contributed to experiments as well as theory. He is the author of the first one-dimensional model of plasma transport presented at the renowned fusion conference in Dubna, 1969. He designed a flexible transport code to simulate fusion plasmas, incorporating his ideas on plasma self-organization. This code system ASTRA is in use in all major fusion laboratories in the world. He is a member of the famous Tokamak Physics Institute of the National Research Centre Kurchatov Institute in Moscow, where under the leadership of the legendary Lev Artsimovitch, the major developments took place for the tokamak. Also widely are known his works on the propagation of electromagnetic waves in plasmas. In particular, he has shown for the first time that the O-mode of the first harmonics and the X-mode of the second harmonics have the highest absorption in plasma. This important result is applied now in many tokamak experiments to efficiently heat the plasmas with electromagnetic waves in the range 70-150GHz using gyrotrons.

During the eighties he wrote together with Professor D.P. Kostomarov the monograph “Numerical simulation of plasmas” which had two Russian (1982, 1993) and one Springer (1986) edition, in English. He has participated in many International Conferences on Plasma Physics. Since 1995 he leads (from the Russian side) the collaboration between the Culham Centre for Fusion Energy (CCFE) in Culham, UK and the Kurchatov Institute in Moscow, Russia.
At the major bi-annual conference in fusion research, the IAEA Fusion Energy Conference he was invited in 2008 (~ 800 participants) to summarize the theoretical works presented there. His report is published in the leading journal Nuclear Fusion (“Summary of reports presented to magnetic confinement theory and modelling (TH) section: main ideas and achievements”, Nucl. Fusion 49, 104003 (2009)).

Table of contents (6 chapters)

  • Introduction

    Dnestrovskij, Yu.N.

    Pages 1-9

  • Variational Principles for Canonical Profiles in a Tokamak

    Dnestrovskij, Yu.N.

    Pages 11-39

  • A Possible Approach to the Canonical Profiles in Stellarators

    Dnestrovskij, Yu.N.

    Pages 41-49

  • Theoretical Limitations for Scaling Laws and Transport Coefficients

    Dnestrovskij, Yu.N.

    Pages 51-70

  • Linear Version of the Canonical Profiles Transport Model (CPTM)

    Dnestrovskij, Yu.N.

    Pages 71-89

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-06802-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-06801-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-35711-9
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Self-Organization of Hot Plasmas
Book Subtitle
The Canonical Profile Transport Model
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06802-2
DOI
10.1007/978-3-319-06802-2
Hardcover ISBN
978-3-319-06801-5
Softcover ISBN
978-3-319-35711-9
Edition Number
1
Number of Pages
XII, 134
Number of Illustrations and Tables
59 b/w illustrations, 9 illustrations in colour
Topics