Pereira Rajiv G
School of Physics, IISER Thiruvananthapuram, Vithura, Kerala 695551, India.
Phys Rev E. 2022 Jul;106(1-1):014150. doi: 10.1103/PhysRevE.106.014150.
We study the steady states and the coarsening dynamics in a one-dimensional driven nonconserved system modeled by the so-called driven Allen-Cahn equation, which is the standard Allen-Cahn equation with an additional driving force. In particular, we derive equations of motion for the phase boundaries in a phase ordering system obeying this equation using a nearest-neighbor interaction approach. Using the equations of motion we explore kink binary and ternary interactions and analyze how the average domain size scale with respect to time. Further, we employ numerical techniques to perform a bifurcation analysis of the one-period stationary solutions of the equation. We then investigate the linear stability of the two-period solutions and thereby identify and study various coarsening modes.
我们研究了由所谓的驱动艾伦 - 卡恩方程建模的一维驱动非守恒系统中的稳态和粗化动力学，该方程是具有附加驱动力的标准艾伦 - 卡恩方程。特别地，我们使用最近邻相互作用方法推导了服从该方程的相序系统中相边界的运动方程。利用这些运动方程，我们探索扭结二元和三元相互作用，并分析平均畴尺寸如何随时间缩放。此外，我们采用数值技术对方程的单周期稳态解进行分岔分析。然后，我们研究两周期解的线性稳定性，从而识别和研究各种粗化模式。
