The instability of electron Bernstein mode has been investigated in presence of drifts due to density and temperature gradient. Nonlinear resonant interaction of drift mode is considered for the investigation of the instability. We have considered a uniform force field $$\mathbf{F}$$ which is the cause of $$\mathbf{F}\times \mathbf{B}$$ drift due to temperature perpendicular to the magnetic field $$\mathbf{B}$$ in the system. Using Vlasov-Poissons system of equations and Maxwellian type distribution function of particles that involve the effect of $$\mathbf{F}$$ associated with density and temperature gradient. We have derived a nonlinear dispersion relation for electron Bernstein mode and then estimated its growth rate. We have analyzed various aspects of the growth rate of electron Bernstein mode associated with the variation of the gradients of the density and temperature by using experimental data in tokamak plasmas.

中文翻译：

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存在与密度和温度梯度相关的漂移波湍流时电子伯恩斯坦模式的不稳定性

已经研究了电子伯恩斯坦模式在存在密度和温度梯度引起的漂移的情况下的不稳定性。漂移模式的非线性共振相互作用被考虑用于不稳定性的研究。我们已经考虑了一个均匀的力场 $$\mathbf{F}$$，这是由于垂直于磁场的温度 $$\mathbf 而导致 $$\mathbf{F}\times \mathbf{B}$$ 漂移的原因{B}$$ 在系统中。使用 Vlasov-Poissons 方程组和 Maxwellian 型粒子分布函数，这些函数涉及与密度和温度梯度相关的 $$\mathbf{F}$$ 的影响。我们推导出电子伯恩斯坦模式的非线性色散关系，然后估计其增长率。