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arXiv 0902.2038cond-mat.mtrl-scicond-mat.soft
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周期钉扎势作用下相场晶体的非线性驱动响应

Nonlinear Driven Response of a Phase-Field Crystal in a Periodic Pinning Potential

C. V. Achim, J. A. P. Ramos, M. Karttunen, K. R. Elder, E. Granato, T. Ala-Nissila, S. C. Ying

摘要:

我们数值研究了最近引入的钉扎晶格系统的相场晶体模型的相图和在驱动力下的响应,包括一维和二维系统。该模型描述了晶格系统作为一个连续的密度场的存在下,一个周期性的钉扎电位,允许弹性和塑性形变的晶格。我们首先提出的结果在没有驱动力的情况下的模型的相图。通过过阻尼动力学运动方程的失配和钉扎强度的不同值的驱动力上的初始钉扎相称的相位的非线性响应进行了研究。对于大的钉扎强度的驱动脱钉过渡是连续的,和滑动速度的变化与幂律指数与分析预测一致的力从阈值。在二维中也发现了运动状态下的横向脱钉转变。令人惊讶的是,对于足够弱的钉扎势,我们发现一个不连续的脱钉过渡滞后,甚至在一维下过阻尼动力学。我们还描述了系统的结构变化的一些细节接近脱钉过渡。

英文摘要:

We study numerically the phase diagram and the response under a driving force of the phase field crystal model for pinned lattice systems introduced recently for both one and two dimensional systems. The model describes the lattice system as a continuous density field in the presence of a periodic pinning potential, allowing for both elastic and plastic deformations of the lattice. We first present results for phase diagrams of the model in the absence of a driving force. The nonlinear response to a driving force on an initially pinned commensurate phase is then studied via overdamped dynamic equations of motion for different values of mismatch and pinning strengths. For large pinning strength the driven depinning transitions are continuous, and the sliding velocity varies with the force from the threshold with power-law exponents in agreement with analytical predictions. Transverse depinning transitions in the moving state are also found in two dimensions. Surprisingly, for sufficiently weak pinning potential we find a discontinuous depinning transition with hysteresis even in one dimension under overdamped dynamics. We also characterize structural changes of the system in some detail close to the depinning transition.

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