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 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 nonpeculiar collective effects which may also apply to the case of interfaces sliding on uncorrelated disordered landscapes.

中文翻译：

---

搓板电位上的弹性界面的热圆形脱钉

通过解析参数和非常精确的数值模拟研究了在搓板电位上滑动的弹性界面的脱钉转变的热舍入。我们确认了以下标准观点：考虑到热激活的形核缺陷，可以远低于固定销阈值来计算平均速度。但是，我们发现，这种分析直接扩展到接近或超过固定阈值并不能完全描述热辅助运动的物理性质。尤其是，我们发现恰好在固定点处，平均速度并不遵循温度的纯幂律，这与标准相变的类比天真的预期一样，但呈现出微妙的对数校正。