The velocity of dislocations is derived analytically to incorporate and predict the intriguing effects induced by the preferential solute segregation and Cottrell atmospheres in both two-dimensional and three-dimensional binary systems of various crystalline symmetries. The corresponding mesoscopic description of defect dynamics is constructed through the amplitude formulation of the phase-field crystal model, which has been shown to accurately capture elasticity and plasticity in a wide variety of systems. Modifications of the Peach-Koehler force as a result of solute concentration variations and compositional stresses are presented, leading to interesting new predictions of defect motion due to effects of Cottrell atmospheres. These include the deflection of dislocation glide paths, the variation of climb speed and direction, and the change or prevention of defect annihilation, all of which play an important role in determining the fundamental behaviors of complex defect network and dynamics. The analytic results are verified by numerical simulations.

中文翻译：

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二元系统的中尺度缺陷运动：组成应变和Cottrell大气的影响

通过分析得出位错的速度，以合并和预测由各种晶体对称性的二维和三维二元系统中的优先溶质偏析和Cottrell气氛引起的引人入胜的作用。缺陷动力学的相应介观描述是通过相场晶体模型的振幅公式构建的，该模型已被证明可以精确捕获各种系统中的弹性和可塑性。提出了由于溶质浓度变化和组成应力而导致的桃子-科勒力的变化，由于科特雷尔气氛的影响，导致了对缺陷运动的有趣的新预测。其中包括错位滑行路径的偏转，爬升速度和方向的变化，以及缺陷消灭的改变或预防，在确定复杂缺陷网络和动力学的基本行为方面都起着重要作用。通过数值模拟验证了分析结果。