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The role of spinodal region in the kinetics of lattice phase transitions

机译：旋节线区域在晶格相变动力学中的作用

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摘要

We consider a one-dimensional chain of phase-transforming springs with harmonic long-range interactions. The nearest-neighbor interactions are assumed to be trilinear, with a spinodal region separating two material phases. We derive the traveling wave solutions governing the motion of an isolated phase boundary through the chain and obtain the functional relation between the driving force and the velocity of a phase boundary which can be used as the closing kinetic relation for the classical continuum theory. We show that a sufficiently wide spinodal region substantially alters the phase boundary kinetics at low velocities and results in a richer solution structure, with phase boundaries emitting short-length lattice waves in both direction. Numerical simulations suggest that solutions of the Riemann problem for the discrete system converge to the obtained traveling waves near the phase boundary.
机译：我们考虑一维相变弹簧的一维链，它具有谐波长程相互作用。假定最邻近的相互作用是三线性的，旋节线区域将两个物质相分开。我们推导了控制孤立相边界通过链运动的行波解，并获得了驱动力和相边界速度之间的函数关系，该关系可以用作经典连续论的闭合动力学关系。我们表明，足够大的旋节线区域会在低速时实质上改变相边界动力学，并导致溶液结构更丰富，相边界会在两个方向上发出短长度的晶格波。数值模拟表明，离散系统的黎曼问题的解收敛于相位边界附近的行波。

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