Centrifugal acceleration in the isotropic photon field

Abstract

In this paper we study centrifugal acceleration of particles moving along a prescribed rotating curved trajectories. We consider the physical system embedded in an isotropic photon field and study the influence of the photon drag force on the acceleration process. For this purpose we study three major configurations of the field lines: the straight line; the Archimede's spiral and the dipolar field line configuration. By analysing dynamics of particles sliding along the field lines in the equatorial plane we have found several interesting features of motion. In particular, it has been shown that for rectilinear field lines the particles reach the light cylinder (area where the linear velocity of rotation exactly equals the speed of light) zone relatively slowly for bigger drag forces. Considering the Archimede's spiral, we have found that in cases when the field lines lag behind the rotation, the particles achieve the force-free regime of dynamics regardless of the drag force. Unlike this scenario, when the spiral is oriented in an opposite direction the particles do not reach the force free regime, but tend to stable equilibrium locations. Such a behaviour has been found for straight field lines as well.

Relativistic Effects of Rotation in γ-ray Pulsars—Invited Review

“…In this case, the particles do not tend to the force-free regime, but instead reach a certain equilibrium location. Similar results have been obtained for 3D configurations of the field lines (for details, the reader is referred to [30,31]). [28].…”

Relativistic effects of rotation in $γ$-ray pulsars -- Invited Review

“…In this case the particles do not tend to the force free regime, but instead reach a certain equilibrium location. The similar results have been obtained for 3D configurations of the field lines (for details a reader is referred to [30,31]).…”

3D study of centrifugal acceleration in isotropic photon fields

“…Other field lines might have equilibrium positions in different points (Ref. 19). In this context it is worth noting that each field line is characterised by two parameters L and α, which in turn means that stable equilibrium points of all field lines will create a surface.…”

“…In (Ref. 19) we have considered this problem for the co-rotating channels located in the equatorial plane. It has been found that by means of the photon drag force the particle acceleration is slightly reduced.…”