Magnetic Relaxation in MST S. Prager University of Wisconsin and CMSO
MST Reversed field pinch
Experimental topics relevant to today Helicity conservation and fluxes during relaxation Multiple, interacting reconnection layers Flow and extended-MHD relaxation Key features for strong alpha effect
Helicity conserving relaxation
Magnetic relaxation occurs in bursts Toroidal Magnetic Flux (Wb) MST time (ms)
Relaxation is helicity-conserving magnetic energy (kJ) Helicity (Wb) Time (ms)
current profile relaxes toward a Taylor state radius (m) before after Taylor state radius 01 But not all the way to a Taylor state,
Multiple reconnection layers Reconnection occurs where Satisfied as multiple radii (for different wave numbers) Two radii with spontaneous reconnection nonlinearly generate a third reconnection
reconnection occurs in bursts core m = 1, n = 6 m = 0, n = 1 edge (G)
Spontaneous and forced reconnection, coupled Consider 3 modes, each corresponding to reconnection 1)m = 1, n = 6, linearly unstable, spontaneous reconn 2)m = 1, n = 7, linearly unstable, spontaneous 3)m = 0, n = 1, linearly stable, forced reconn by NL coupling Can investigate differences between spontaneous and forced reconnection; coupling leads to energy release radius
What drives reconnection? (linearly unstable or nonlinearly driven? From MHD, linear drive Measuring terms directly in MST edge plasma nonlinear coupling
Flow and two-fluid relaxation Flow relaxation as part of process Show flow profile change Generalized helicities Couples to momentum transport problem
Rotation profile flattens Parallel Velocity (km/s)
Two - fluid relaxation Generalized helicity for each species ( A s B s dV) is conserved where A s = A + (m s /q s ) v s and B s = A s Relaxes to minimum magnetic + flow energy (via v B and J B) Constant j || /B and v || /B profiles
Strong alpha effect in MST Why strong in experiment weak in some dynamo in a box calculations?
in experiment E || j || radius Strong current generation mechanism (measuring alpha effect, Hall dynamo……)