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A statistical study of gyro-averaging effects in a reduced model of drift-wave transport

机译:漂移波传输简化模型中陀螺平均效应的统计研究

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A statistical study of finite Larmor radius (FLR) effects on transport driven by electrostatic drift-waves is presented. The study is based on a reduced discrete Hamiltonian dynamical system known as the gyro-averaged standard map (GSM). In this system, FLR effects are incorporated through the gyro-averaging of a simplified weak-turbulence model of electrostatic fluctuations. Formally, the GSM is a modified version of the standard map in which the perturbation amplitude, K-0, becomes K(0)J(0)((rho) over cap), where J(0) is the zeroth-order Bessel function and (rho) over cap is the Larmor radius. Assuming a Maxwellian probability density function (pdf) for (rho) over cap, we compute analytically and numerically the pdf and the cumulative distribution function of the effective drift-wave perturbation amplitude K(0)J(0)((rho) over cap). Using these results, we compute the probability of loss of confinement (i.e., global chaos), P-c, and the probability of trapping in the main drift-wave resonance, P-t. It is shown that P-c provides an upper bound for the escape rate, and that P-t provides a good estimate of the particle trapping rate. The analytical results are compared with direct numerical Monte-Carlo simulations of particle transport. Published by AIP Publishing.
机译:统计研究有限拉莫尔半径(FLR)对静电漂移波驱动的运输的影响。这项研究基于简化的离散汉密尔顿动力学系统,即陀螺平均标准图(GSM)。在该系统中,通过对静电波动的简化弱湍流模型进行陀螺平均,可以实现FLR效果。正式地,GSM是标准图的修改版本,其中,扰动幅度K-0变为K(0)J(0)((rho over cap),其中J(0)是零阶贝塞尔(Bessel)函数和(rho)上限是拉莫尔半径。假设上限为(rho)的麦克斯韦概率密度函数(pdf),我们通过分析和数值计算有效上限的有效漂移波扰动幅度K(0)J(0)((rho))的pdf和累积分布函数)。利用这些结果,我们可以计算出失去约束的可能性(即全局混沌)P-c,以及陷于主漂移波共振中的概率P-t。结果表明,P-c提供了逃逸率的上限,P-t提供了对粒子捕获率的良好估计。将分析结果与粒子传输的直接数值蒙特卡洛模拟进行了比较。由AIP Publishing发布。

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