Particles and Fields in Partial-differential-equation Models for fluid and Superfluid Turbulence

Abstract

We have shown that uniformly rotating vortex-containing gravitationally-bound solutions of the GPPE can be generated by starting the evolution from initial data obtained by integrating to convergence the (imaginary-time) ARGLPE (6.7). We have built on this GPPE and introduced a minimal model, with a single, angular, dynamical variable for a solid crust coupled with a rotating GPPE star. We have demonstrated that this model exhibits stick-slip dynamics, whose statistical properties we have characterized by computing the event-size and event-duration CPDFs Q( Jc=Jc0) and Q(ted 0), which show power-law forms, and the waitingtime CPDF Q(twt 0), which exhibits an exponential tail. These SOC-type desiderata are in consonance with measurements on a class of pulsars [22]. We plan to study pulsar-glitch models that are more realistic than our minimal model. Examples include models with (a) a solid crust with 6 degrees of freedom, 3 rotational and 3 translational, instead of only one angle of rotation, or (b) a super6.4. Conclusions 129 conducting component with magnetic flux tubes. We expect that such generalizations of our minimal model should help us to undertand all the types of statistical properties that are displayed by pulsar glitches in different pulsars