arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2304.04070cond-mat.mtrl-scicond-mat.stat-mech
收藏

溶质与静止及运动晶界相互作用的随机模型与动力学蒙特卡罗模拟。I. 模型构建及在一维系统中的应用

Stochastic model and kinetic Monte Carlo simulation of solute interactions with stationary and moving grain boundaries. I. Model formulation and application to one-dimensional systems

Y. Mishin

AI总结:

本文提出一种运动晶界溶质拖曳的随机模型,通过动力学蒙特卡罗模拟求解,重现了溶质拖曳效应的基本特征,并发现力-速度函数偏离经典模型预测。

摘要:

本文提出了一个简单的运动晶界(GB)溶质拖曳随机模型。该模型使用少量参数描述溶质与GB的相互作用,并捕捉了非线性GB动力学、偏聚气团中的溶质饱和以及脱离气团的现象。该模型通过具有含时跃迁势垒的动力学蒙特卡罗(KMC)模拟进行求解。讨论了KMC过程的非马尔可夫性质。在本工作的第一部分中,该模型被应用于受外力驱动的平面GB。该模型重现了溶质拖曳效应的所有基本特征,包括在临界GB速度下拖曳力的最大值。所得的力-速度函数偏离了由Cahn和Lücke-Stüwe基于更严格假设的经典模型所预测的标度规律。本文为第二部分奠定了基础,在第二部分中,GB将被处理为二维固-固界面。

英文摘要:

A simple stochastic model of solute drag by moving grain boundaries (GBs) is presented. Using a small number of parameters, the model describes solute interactions with GBs and captures nonlinear GB dynamics, solute saturation in the segregation atmosphere, and the breakaway from the atmosphere. The model is solved by kinetic Monte-Carlo (KMC) simulations with time-dependent transition barriers. The non-Markovian nature of the KMC process is discussed. In Part I of this work, the model is applied to planar GBs driven by an external force. The model reproduces all basic features of the solute drag effect, including the maximum of the drag force at a critical GB velocity. The force-velocity functions obtained depart from the scaling predicted by the classical models by Cahn and Lücke-Stüwe, which are based on more restrictive assumptions. The paper sets the stage for Part II, in which the GB will be treated as a 2D solid-on-solid interface.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑