High confinement at low power input in magnetic fusion plasmas: analysis of trade-offs using stability theory

Physics-based conditions are used to unfold trapped or persistent degenerate singularities in a dynamical model for plasma confinement transitions. Structural characterization of the resulting enhanced model achieves unification of previous disparate views of confinement transition physics, provides valuable intelligence on shear flow suppression of turbulence and oscillatory régimes, and suggests targeted experimental design, control and optimization strategies for new-generation fusion experiments. The stability trade-offs involved in achieving high confinement at low power input are discussed.

[1]  A. Thyagaraja,et al.  A nonlinear dynamic model of relaxation oscillations in tokamaks , 1999 .

[2]  W. Horton,et al.  Shear flow generation by Reynolds stress and suppression of resistive g modes , 1994 .

[3]  P. Terry,et al.  Suppression of turbulence and transport by sheared flow , 2000 .

[4]  David Montgomery,et al.  Two-Dimensional Turbulence , 2012 .

[5]  Metamorphosis of plasma turbulence-shear-flow dynamics through a transcritical bifurcation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  W. Horton,et al.  L-h confinement mode dynamics in three-dimensional state space , 1995 .

[7]  Suppression of turbulence at low power input in a model for plasma confinement transitions , 2005 .

[8]  S. I. Braginskii Transport Processes in a Plasma , 1965 .

[9]  M. Golubitsky,et al.  Singularities and groups in bifurcation theory , 1985 .

[10]  Itoh Model of L- to H-mode transition in tokamak. , 1988, Physical review letters.

[11]  T. Stringer Explanation of the L-H mode transition induced by applied voltage , 1993 .

[12]  E. C. Crume,et al.  Bifurcation theory of poloidal rotation in tokamaks: A model for L-H transition. , 1989, Physical review letters.

[13]  A. Fujisawa TOPICAL REVIEW: Experimental studies of structural bifurcation in stellarator plasmas , 2003 .

[14]  R. Ball The origins and limits of thermal steady–state multiplicity in the continuous stirred tank reactor , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.