Reichhardt C, Reichhardt C J O
Theoretical Division and Center for Nonlinear Studies, <a href="https://ror.org/01e41cf67">Los Alamos National Laboratory</a>, Los Alamos, New Mexico 87545, USA.
Phys Rev E. 2024 May;109(5-1):054606. doi: 10.1103/PhysRevE.109.054606.
We examine the ordering, pinning, and dynamics of two-dimensional pattern-forming systems interacting with a periodic one-dimensional substrate. In the absence of the substrate, particles with competing long-range repulsion and short-range attraction form anisotropic crystal, stripe, and bubble states. When the system is tuned across the stripe transition in the presence of a substrate, we find that there is a peak effect in the critical depinning force when the stripes align and become commensurate with the substrate. Under an applied drive, the anisotropic crystal and stripe states can exhibit soliton depinning and plastic flow. When the stripes depin plastically, they dynamically reorder into a moving stripe state that is perpendicular to the substrate trough direction. We also find that when the substrate spacing is smaller than the widths of the bubbles or stripes, the system forms pinned stripe states that are perpendicular to the substrate trough direction. The system exhibits multiple reentrant pinning effects as a function of increasing attraction, with the anisotropic crystal and large bubble states experiencing weak pinning but the stripe and smaller bubble states showing stronger pinning. We map out the different dynamic phases as a function of filling, the strength of the attractive interaction term, the substrate strength, and the drive, and demonstrate that the different phases produce identifiable features in the transport curves and particle orderings.
我们研究了与周期性一维衬底相互作用的二维图案形成系统的排序、钉扎和动力学。在没有衬底的情况下，具有竞争性长程排斥和短程吸引的粒子形成各向异性晶体、条纹和气泡状态。当系统在存在衬底的情况下通过条纹转变进行调谐时，我们发现当条纹排列并与衬底对齐时，临界脱钉力会出现峰值效应。在施加驱动时，各向异性晶体和条纹状态可表现出孤子脱钉和塑性流动。当条纹发生塑性脱钉时，它们会动态重新排列成与衬底凹槽方向垂直的移动条纹状态。我们还发现，当衬底间距小于气泡或条纹的宽度时，系统会形成与衬底凹槽方向垂直的钉扎条纹状态。随着吸引力增加，系统表现出多种折返钉扎效应，各向异性晶体和大气泡状态经历弱钉扎，而条纹和小气泡状态表现出更强的钉扎。我们绘制了作为填充量、吸引相互作用项强度、衬底强度和驱动的函数的不同动态相，并证明不同相在传输曲线和粒子排序中产生可识别的特征。
