TY - BOOK ID - 4862490 TI - Self-Organization of Hot Plasmas : The Canonical Profile Transport Model PY - 2015 SN - 9783319068022 3319068016 9783319068015 1322135835 3319068024 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Physics. KW - Plasma Physics. KW - Mathematical Methods in Physics. KW - Nuclear Energy. KW - Mathematical physics. KW - Physique KW - Physique mathématique KW - High temperature plasmas. KW - Plasma astrophysics. KW - Thermodynamics. KW - Physics KW - Physical Sciences & Mathematics KW - Electricity & Magnetism KW - Hot plasmas KW - Plasmas, High temperature KW - Nuclear energy. KW - Plasma (Ionized gases). KW - Gases at high temperatures KW - Plasma (Ionized gases) KW - Physical mathematics KW - Mathematics KW - Atomic energy KW - Atomic power KW - Energy, Atomic KW - Energy, Nuclear KW - Nuclear power KW - Power, Atomic KW - Power, Nuclear KW - Force and energy KW - Nuclear physics KW - Power resources KW - Nuclear engineering KW - Nuclear facilities KW - Nuclear power plants KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Gaseous discharge KW - Gaseous plasma KW - Magnetoplasma KW - Ionized gases UR - https://www.unicat.be/uniCat?func=search&query=sysid:4862490 AB - This book is devoted to the problem of confinement of energy and particles in tokamak plasmas. 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 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 but the expressions for the energy, particle and momentum fluxes, including corresponding 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. ER -