Circular polarization shows the nature of pulsar magnetosphere composition

It has been argued in previous papers that an ion-proton plasma is formed at the polar caps of neutron stars with positive polar-cap corotational charge density. The present paper does not offer a theory of the development of turbulence from the unstable Langmuir modes that grow in the outward accelerated plasma, but attempts to describe in qualitative terms the factors relevant to the emission of polarized radiation at frequencies below 1 - 10 GHz. The work of Karastergiou and Johnston is of particular importance in this respect because it demonstrates in high-resolution measurements of the profiles of 17 pulsars that the relative phase retardation between the O- and E-modes of the plasma is no greater than of the order of pi. Provided the source of the radiation is at low altitudes, as favoured by recent observations, this order of retardation is possible only for a plasma of baryonic-mass particles.Comment: 7 page

Swimming of a uniform deformable sphere in a viscous incompressible fluid with inertia

The swimming of a deformable uniform sphere is studied in second order perturbation theory in the amplitude of the stroke. The effect of the first order reaction force on the first order center of mass velocity is calculated in linear response theory by use of Newton's equation of motion. The response is characterized by a dipolar admittance, which is shown to be proportional to the translational admittance. As a consequence the mean swimming velocity, calculated in second order perturbation theory, depends on the added mass of the sphere. The mean swimming velocity and the mean rate of dissipation are calculated for several selected strokes.Comment: 20 pages, 15 figure

Swimming of a sphere in a viscous incompressible fluid with inertia

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier-Stokes equations. The mean swimming velocity and the mean rate of dissipation are expressed as quadratic forms in term of the surface displacements. With a choice of a basis set of modes the quadratic forms correspond to two hermitian matrices. Optimization of the mean swimming velocity for given rate of dissipation requires the solution of a generalized eigenvalue problem involving the two matrices. It is found for surface modulations of low multipole order that the optimal swimming efficiency depends in intricate fashion on a dimensionless scale number involving the radius of the sphere, the period of the cycle, and the kinematic viscosity of the fluid.Comment: 19 pages, 4 figure