相对论q分布正负电子对等离子体横振荡

研究了无磁化、无碰撞、各向同性相对论q分布正负电子对等离子体横振荡色散关系，通过理论推导得到与非广延参数q有关的色散方程。从该色散方程出发，得到极端相对论情况下长波支和短波支下等离子体横振荡色散关系解析解，为了得到完整的色散曲线，对色散方程进行数值计算，在极端相对论情况下数值结果与解析结果在长波支和短波支下完全吻合。研究发现相对论q分布下色散关系与非广延参数q和温度有关，当q1时，则渐进结果与经典统计下的一致。

Transverse oscillation in relativistic electronpositron plasma with q distribution

The dispersion relation of transverse oscillation in the unmagnetized, collisionless, isotropic and relativistic electronpositron plasma is discussed in the context of q distribution. The dispersion equations in connection with q parameter are derived and then the analytical dispersion laws for ultrarelativistic electronpositron plasma are obtained under the longwavelength approximation and the shortwavelength condition. The dispersion equations are numerically simulated with the purpose of getting the full dispersion curve, and the numerical solutions are coincident with the analytical results in the cases of longwavelength and shortwavelength for ultrarelativistic electronpositron plasma. It is shown that the dispersion relation in the context of q distribution is related to q parameter and temperature, and in the limiting case (q1), the classical dispersion relation based on the Maxwellian distribution is recovered.