论文标题

H理论在不连续的磁场下绕过2D布朗粒子

H-theorem bypassing by 2D Brownian particle under discontinuous magnetic field

论文作者

Romanets, P. M.

论文摘要

在本文中,我们从理论上研究了不连续的磁场下2D带电颗粒的动力学特性。结果表明,某些条件可能会导致他们绕过H Theorem。我们使用经典动力学方程来得出该案例的扩散方程。基本假设是用于建模的:(i)颗粒的运动受到矩形区域的限制; (ii)当粒子靠近边界时,粒子的迁移率变为零; (iii)没有颗粒之间的库仑相互作用; (iv)带电颗粒与培养基之间的相互作用不会改变培养基的总动量。讨论了条件的可实现性。

In the present paper, we theoretically study the kinetic properties of 2D charged particles under a discontinuous magnetic field. It is shown that certain conditions could cause their bypassing of the H-theorem. We use the classical kinetic equation to derive the diffusion equation for the case. The essential postulates are made for modeling: (i) the motion of the particles is restricted by a rectangular region; (ii) the mobility of the particles goes to zero while they came closer to borders; (iii) the Coulomb interaction between particles is absent; (iv)the interaction between charged particles and the medium does not change the total momentum of the medium. The achievability of the conditions is discussed.

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