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首页> 外文期刊>Physical review >Unambiguous Gibbs dividing surface for nonequilibrium finite-width interface: Static equivalence approach
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Unambiguous Gibbs dividing surface for nonequilibrium finite-width interface: Static equivalence approach

机译：非平衡有限宽度界面的明确Gibbs分割面：静态等价方法

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摘要

The definition of all properties of the nonequilibrium interface depends on the choice of the position of the dividing surface. However, the definition of its position has been an unsolved problem for more than a century. A missing principle to unambiguously determine the position of the Gibbs' dividing surface is found: the principle of static equivalence. A sharp interface (dividing surface) is statically equivalent to a nonequilibrium finite-width interface with distributed tensile stresses if it possesses (a) the same resultant force, equal to the interface energy, and (b) the same moment, which is zero about the interface position. Each of these conditions determines the position of a sharp interface, which may be contradictory. This principle is applied to resolve another basic problem: the development of a phase field approach to an interface motion that includes an expression for interface stresses, which are thermodynamically consistent, and consistent with a sharp-interface limit. Using an analytical solution for a curved propagating interface, it is shown that both conditions determine the same dividing surface, i.e., the theory is self-consistent. The expression for the interface energy is also consistent with the expression for the velocity of the curved sharp interface. Applications to more complex interfaces that support elastic stresses are discussed.
机译：非平衡界面的所有属性的定义取决于分隔表面位置的选择。但是，其位置的定义在一个多世纪以来一直没有解决。发现了明确确定吉布斯分界面位置的缺失原理：静态等价原理。尖锐的界面（分界面）在静态上等效于具有分布拉应力的非平衡有限宽界面，如果它具有（a）相同的合力，等于界面能量，并且（b）相同的力矩，即大约为零接口位置。这些条件中的每一个都确定尖锐的界面的位置，这可能是矛盾的。该原理适用于解决另一个基本问题：界面运动的相场方法的发展，其中包括界面应力的表达式，界面应力在热力学上是一致的，并且与急剧的界面极限一致。使用用于弯曲传播界面的解析解，表明两个条件确定相同的分割表面，即该理论是自洽的。界面能的表达式也与弯曲的尖锐界面的速度的表达式一致。讨论了支持弹性应力的更复杂界面的应用。

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