Interface Instability under Forced Displacements
Interface Instability under Forced Displacements
复制标题
受迫位移下的界面不稳定性
DOI：
10.1007/s00023-005-0257-1
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
E. Presutti
中科院分区：
文献类型：
--
作者：
A. Masi;N. Dirr;E. Presutti
应用线性响应理论和Onsager原理，得到使平面界面以速度V移动所需的功率（单位面积）等于V ~ 2/ μ，μ_a迁移率系数。为了验证这一规律，我们研究了一个一维模型，其中界面是一个非局域演化方程的定态解，称为瞬子。然后，我们分配一个惩罚功能的轨道偏离的解决方案的发展方程和研究的最佳方式来取代瞬子。我们发现，只有当V足够小时，最小惩罚才具有表达式V ~ 2/ μ。超过临界速度后，在前沿出现另一相的形核，其数量和位置根据所施加的速度来确定。
By applying linear response theory and the Onsager principle, the power (per unit area) needed to make a planar interface move with velocityVis found to be equal toV2/ μ, μ a mobility coefficient. To verify such a law, we study a one dimensional model where the interface is the stationary solution of a non local evolution equation, called an instanton. We then assign a penalty functional to orbits which deviate from solutions of the evolution equation and study the optimal way to displace the instanton. We find that the minimal penalty has the expressionV2/ μ only whenVis small enough. Past a critical speed, there appear nucleations of the other phase ahead of the front, their number and location are identified in terms of the imposed speed.