Abstract We consider the acceleration of charged particles in relativistic shearing flows, with Lorentz factor up to ? 0 ? 20. present numerical solutions particle transport equation and compare these results from analytical calculations. show that highly limit energy spectrum approaches a power law, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathM...

Particle energization in shear flows is invoked to explain non-thermal emission from the boundaries of relativistic astrophysical jets. Yet, physics particle injection, i.e., mechanism that allows thermal particles participate shear-driven acceleration, remains unknown. With particle-in-cell simulations, we study development Kelvin-Helmholtz (KH) instabilities seeded by velocity between a magne...

Four integrable symplectic maps approximating two Hamiltonian flows from the relativistic Toda hierarchy are introduced. They are demostrated to belong to the same hierarchy and to examplify the general scheme for symplectic maps on groups equiped with quadratic Poisson brackets. The initial value problem for the difference equations is solved in terms of a factorization problem in a group. Int...