STUDY OF HIGH RELAXED STATE OF PLASMA

Beltrami fields, eigen functions of the curl operator, represent the static force-free relaxed state of a single-fluid MHD plasma and correspond to the alignment of magnetic field and current density. The double Beltrami fields which are the superposition of two different Beltrami fields, express a more general relaxed state of a two-fluid MHD plasma. The new relaxed states, despite its simple mathematical structure, encompass a wide class of steady states in mathematical Physics and explain interesting phenomena. Plasma configurations are investigated employing the double Beltrami fields. Our numerical results reveal that relaxed states of plasma exhibiting ultrahigh β associated with minimum values of field-aligned current and flow can be created which are suitable for the advanced fusion concept.</p><p>Furthermore, a set of algebraic equations is derived which relates the parameters of double Beltrami field (amplitudes and eigenvalues) and the ideal invariants (energy and helicities) of the system. These equations can be used to study the existence of solutions and catastrophic change of structures in relaxed equilibria in different plasma configurations. For a given set of energy and helicities, the catastrophic loss of equilibrium is observed when flux loops are compressed by varying the control parameter. This study could be very helpful to understand the eruptive events in solar coron