Depinning of stiff directed lines in random media.
Depinning of stiff directed lines in random media.
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随机介质中刚性定向线的脱钉
DOI：
10.1103/physreve.90.012101
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
J. Kierfeld
中科院分区：
文献类型：
--
作者：
H.-H. Boltz;J. Kierfeld
随机介质中的受驱动弹性流形在临界驱动力下表现出向速度非零状态的脱钉过渡。我们研究了刚性定向线的脱钉，这是由弯曲刚度，而不是线张力。他们的运动方程是（淬火）赫林-穆林斯方程，它也描述了由表面扩散控制的表面生长。刚性定向线是特别有趣的，因为在有限温度下的静态问题中存在局部化过渡，并且通过米德尔顿定理[Phys. Rev. Lett. 68，670（1992）PRLTAO 0031 -900710.1103/PhysRevLett.68.670]不适用。我们采用分析参数和数值模拟来确定临界指数，并将我们的研究结果与以前的工作和功能重整化群的结果，我们扩展到不同的线弹性。我们看到两个不同的相关长度指数的证据。
Driven elastic manifolds in random media exhibit a depinning transition to a state with nonvanishing velocity at a critical driving force. We study the depinning of stiff directed lines, which are governed by a bending rigidity rather than line tension. Their equation of motion is the (quenched) Herring-Mullins equation, which also describes surface growth governed by surface diffusion. Stiff directed lines are particularly interesting as there is a localization transition in the static problem at a finite temperature and the commonly exploited time ordering of states by means of Middleton's theorems [Phys. Rev. Lett. 68, 670 (1992)PRLTAO0031-900710.1103/PhysRevLett.68.670] is not applicable. We employ analytical arguments and numerical simulations to determine the critical exponents and compare our findings with previous works and functional renormalization group results, which we extend to the different line elasticity. We see evidence for two distinct correlation length exponents.
影响因子：
3.5
作者：
T. Read
通讯作者：
T. Read