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arXiv 2008.00534cond-mat.dis-nncond-mat.stat-mech
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搓衣板势上弹性界面的热圆脱钉

Thermally rounded depinning of an elastic interface on a washboard potential

A. B. Kolton, E. A. Jagla

摘要:

通过解析和精确的数值模拟研究了弹性界面在搓衣板势上滑动时脱钉相变的热圆化。我们证实了标准的观点,即在脱钉阈值以下,考虑到向前移动的缺陷的热激活成核,可以计算平均速度。然而,我们发现,这种分析的直接扩展到附近或以上的脱钉阈值并不能完全描述的物理热辅助运动。特别是,我们发现,正是在脱钉点的平均速度并不遵循一个纯粹的幂律的温度天真地预期的类比与标准的相变,但提出了微妙的对数修正。我们解释了这些修正背后的物理机制,并认为它们是非特殊的集体效应,也可能适用于不相关的无序景观上的界面滑动的情况。

英文摘要:

The thermal rounding of the depinning transition of an elastic interface sliding on a washboard potential is studied through analytic arguments and very accurate numerical simulations. We confirm the standard view that well below the depinning threshold the average velocity can be calculated considering thermally activated nucleation of forward moving defects. However, we find that the straightforward extension of this analysis to near or above the depinning threshold does not fully describe the physics of the thermally assisted motion. In particular, we find that exactly at the depinning point the average velocity does not follow a pure power-law of the temperature as naively expected by the analogy with standard phase transitions but presents subtle logarithmic corrections. We explain the physical mechanisms behind these corrections and argue that they are non-peculiar collective effects which may also apply to the case of interfaces sliding on uncorrelated disordered landscapes.

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