中文摘要：

研究无磁化、无碰撞、各向同性非相对论等离子体中非广延分布情况下横振荡色散关系。通过理论推导得到了与非广延参数q有关的色散方程,从该色散方程出发得到了高频横振荡色散关系解析解。为了得到完整的色散关系,对色散方程进行了数值计算,数值结果在高频段与解析结果完全吻合。研究发现非广延统计下横振荡色散关系与非广延参数q有关,当q=1时则渐进到经典统计下的结果。

英文摘要：

The transverse dispersion relation in the unmagnetized,collisionless,isotropic and nonrelativistic plasma is discussed in the context of nonextensive distribution.The dispersion equations in connection with q-parameter are derived,and then the dispersion relation of transverse oscillation with high frequency are obtained.The dispersion equations are numerically simulated with the purpose of getting the full dispersion curve.It is showing that the numerical solutions are coinciding with the analytical results in the case of high frequency.We find that the dispersion relation in the context of nonextensive distribution is connected with q-parameter,in the limiting case（q=1）,the classical dispersion relation based on the Maxwellian distribution is recovered.