On the Onset of Collapse Events in Toroidal Plasmas Turbulence Trigger

The following sections are included:

• Introduction

• Phenomenological observations and problem definition

  • Onset of collapse and topological change of magnetic surfaces

  • Approaches for bifurcation phenomena

• Theoretical Framework

  • Model

  • Stochastic equation

  • Statistical properties

    • Nonlinear dissipation function

    • Rate of transition

    • Phase boundary and the rule for selection of the state

    • Life time near phase boundary

    • Short summary

• Example of Neoclassical Tearing Mode

  • Description of nonlinear instability and stochastic equation

  • Nonlinear instability, subcritical excitation and cusp catastrophe

  • Statistical property

    • Nonlinear dissipation function

    • Statistical average and phase boundary

    • Life time

• Conclusion

• Acknowledgements

• References