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arXiv 0707.0345cond-mat.stat-mechcond-mat.dis-nn
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脱钉转变的热圆化

Thermal rounding of the depinning transition

S. Bustingorry, A. B. Kolton, T. Giamarchi

摘要:

我们通过数值模拟无序介质中一维弹性界面的驱动,研究了脱钉转变时的热效应。我们发现,界面的速度,在临界脱钉力评估,可以正确地描述与幂律$v\sim T^ψ$,其中$ψ$是热指数。使用临界力的样本依赖值,我们直接从速度的温度依赖性精确地评估$ψ$的值,获得值$ψ= 0.15 \pm 0.01$。通过测量界面的结构因子,我们发现,热圆化和T=0脱钉,显示出相同的大尺度几何形状,描述了一个相同的发散的特征长度与速度$ξ\propto v^{-ν/β}$,其中$ν$和$β$分别是T=0相关和脱钉指数。我们讨论了我们的结果与以前的估计的热指数和直接后果最近的实验在铁磁薄膜中的磁畴壁运动的比较。

英文摘要:

We study thermal effects at the depinning transition by numerical simulations of driven one-dimensional elastic interfaces in a disordered medium. We find that the velocity of the interface, evaluated at the critical depinning force, can be correctly described with the power law $v\sim T^ψ$, where $ψ$ is the thermal exponent. Using the sample-dependent value of the critical force, we precisely evaluate the value of $ψ$ directly from the temperature dependence of the velocity, obtaining the value $ψ= 0.15 \pm 0.01$. By measuring the structure factor of the interface we show that both the thermally-rounded and the T=0 depinning, display the same large-scale geometry, described by an identical divergence of a characteristic length with the velocity $ξ\propto v^{-ν/β}$, where $ν$ and $β$ are respectively the T=0 correlation and depinning exponents. We discuss the comparison of our results with previous estimates of the thermal exponent and the direct consequences for recent experiments on magnetic domain wall motion in ferromagnetic thin films.

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