Langevin approach to modeling of electron acceleration by Langmuir turbulence in ionosphere

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-09-23 DOI:10.1016/j.apm.2025.116455

Zhijian Lu , Hui Li , Nurken E. Aktaev , Zhongxiang Zhou , Dewei Gong , A.A. Kudryavtsev , Chengxun Yuan

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Abstract

A stochastic Langevin differential equation approach is proposed to model electron motion in collisionless ionospheric plasma within regions of Langmuir turbulence driven by a powerful wave. The model attributes electron motion to interactions with a broad wave packet excited by this incident wave. The primary mechanisms initiating motion are velocity-space diffusion, characterized by an inhomogeneous alternating electric field, and Landau damping. This paper outlines the model construction principles and analyzes key aspects, including the hierarchy of relaxation timescales, the selection of the simulation time step, the fulfillment of conditions for a broad wave packet, and the stochastic nature of electron-wave interactions (modeled as jumps). Implementation features of the numerical model are also discussed. The model's adequacy is demonstrated by comparing numerical results with those obtained from the widely used Gurevich model for high-energy electrons. Crucially, the proposed approach successfully describes the dynamics across the entire electron distribution, including the bulk population, rather than only the high-energy tail.

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电离层中Langmuir湍流电子加速的Langevin建模方法

提出了一种随机朗格万微分方程方法来模拟由强波驱动的朗缪尔湍流区域内无碰撞电离层等离子体中的电子运动。该模型将电子运动归因于与受该入射波激发的宽波包的相互作用。引发运动的主要机制是速度-空间扩散，以非均匀交变电场为特征，以及朗道阻尼。本文概述了模型的构建原则，并分析了关键方面，包括松弛时间尺度的层次，模拟时间步长的选择，宽波包条件的实现，以及电子-波相互作用的随机性（建模为跳变）。讨论了数值模型的实现特点。通过与高能电子Gurevich模型的数值结果比较，证明了该模型的充分性。至关重要的是，所提出的方法成功地描述了整个电子分布的动力学，包括大量人口，而不仅仅是高能尾巴。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.