TY - JOUR

T1 - EVOLUTION OF ONE-DIMENSIONAL MODELS OF BUNCHES OF CHARGED PARTICLES IN A SELF-CONSISTENT ELECTRIC FIELD.

AU - Gun'ko, Yu F.

AU - Safronov, A. L.

AU - Chantsev, V. P.

PY - 1986/12/1

Y1 - 1986/12/1

N2 - Within the framework of collisionless motion of particles in a self-consistent electric field, the authors solve problems involving separation of a plane layer, a circular cylinder, and a sphere consisting of point charged particles, in both the nonrelativistic approximation and in the case of relativistic velocities, for arbitrary initial particle concentration. It is shown that a laminar nature of motion is ensured, in the case of separation of layer, by the velocity profile being initially monotonic; and, in the case of separation of a cylinder and sphere from the rest state, by the electric field strength being monotonic at the initial instant.

AB - Within the framework of collisionless motion of particles in a self-consistent electric field, the authors solve problems involving separation of a plane layer, a circular cylinder, and a sphere consisting of point charged particles, in both the nonrelativistic approximation and in the case of relativistic velocities, for arbitrary initial particle concentration. It is shown that a laminar nature of motion is ensured, in the case of separation of layer, by the velocity profile being initially monotonic; and, in the case of separation of a cylinder and sphere from the rest state, by the electric field strength being monotonic at the initial instant.

UR - http://www.scopus.com/inward/record.url?scp=0022982952&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0022982952

SP - 9

EP - 19

JO - St. Petersburg University mechanics bulletin : Vestnik Sankt-Peterburgskogo universiteta. Mekhanika

JF - St. Petersburg University mechanics bulletin : Vestnik Sankt-Peterburgskogo universiteta. Mekhanika

SN - 0883-623X

IS - 2

ER -