论文标题
在（2+1）维度中的两类离散弹性弦模型中固定泛滥的过渡
Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions
论文作者
论文摘要
数值研究了两类离散弹性弦模型的接口的固定相位转换。在（1+1）维度中，我们对这两个弹性串线模型进行了略微修改，并将估计值与先前的数值和实验结果进行比较。对于（2+1） - 维情况，我们在这些{具有猝灭障碍的离散模型}中对删除脱键过渡进行了广泛的模拟。为了在物理相关的空间维度中进行完整的比较，我们还以数值不同的是两个不同的普遍性类别，包括淬火的Edwards-Wilkinson（QEW）和带有外部驱动力的Quenched Kardar-Parisi-Zhang（QKPZ）方程。在数值上估算了这些{系统的临界指数}。我们的结果表明，关键指数很好地满足了扩展关系，而这两个离散的弹性弦模型并不属于现有的普遍性类别。为了在（2+1）维情况下的这些{离散系统的视觉比较，具有猝灭性疾病}，我们在饱和时间方面表现出具有各种外部驱动力的表面形态。还揭示了表面形态，缩放指数和相关长度之间的关系。
The pinning-depinning phase transitions of interfaces for two classes of discrete elastic-string models are investigated numerically. In the (1+1)-dimensions, we revisit these two elastic-string models with slight modification to growth rule, and compare the estimated values with the previous numerical and experimental results. For the (2+1)-dimensional case, we perform extensive simulations on pinning-depinning transitions in these { discrete models with quenched disorder}. For full comparisons in the physically relevant spatial dimensions, we also perform numerically two distinct universality classes, including the quenched Edwards-Wilkinson (QEW), and the quenched Kardar-Parisi-Zhang (QKPZ) equations with and without external driving forces. The critical exponents of these {systems in the presence of quenched disorder} are numerically estimated. Our results show that the critical exponents satisfy scaling relations well, and these two discrete elastic-string models do not fall into the existing universality classes. In order to visually comparisons of these {discrete systems with quenched disorder} in the (2+1)-dimensional cases, we present surface morphologies with various external driving forces during the saturated time regimes. The relationships between surface morphologies, scaling exponents and correlation length are also revealed.
