Percolation in networks of 1-dimensional objects: comparison between Monte Carlo simulations and experimental observations†,Nanoscale Horizons

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Percolation in networks of 1-dimensional objects: comparison between Monte Carlo simulations and experimental observations†
Nanoscale Horizons ( IF 8.0 ) Pub Date : 2018-06-19 00:00:00 , DOI: 10.1039/c8nh00066b
Daniel P. Langley _{1,

2,

3,

4,

5} , Mélanie Lagrange _{1,

2,

3,

4,

5} , Ngoc Duy Nguyen _{6,

7,

8,

9,

10} , Daniel Bellet _{1,

2,

3,

4,

5}

Affiliation

Planar networks composed of 1-dimensional nanometer scale objects such as nanotubes or nanowires have been attracting growing interest in recent years. In this work we directly compare the percolation threshold of silver nanowire networks to predictions from Monte Carlo simulations, focusing particularly on understanding the impact of real world imperfections on the percolation onset in these systems. This work initially determines the percolation threshold as calculated from an ideal system using Monte Carlo methods. On this foundation we address the effects of perturbations in length, angular anisotropy and radius of curvature of the 1-dimensional objects, in line with those observed experimentally in purposely fabricated samples. This work explores why two-dimensional stick models in the literature currently underestimate the percolation onset in real systems and identifies which of the network's features play the most significant role in that deviation.

中文翻译：

一维对象网络中的渗透：蒙特卡洛模拟与实验观察值的比较†

近年来，由一维纳米尺度物体（例如纳米管或纳米线）组成的平面网络吸引了越来越多的兴趣。在这项工作中，我们将银纳米线网络的渗透阈值与蒙特卡洛模拟的预测直接进行比较，尤其着重于了解现实世界的缺陷对这些系统中渗透开始的影响。这项工作最初确定了渗漏阈值，该阈值是使用蒙特卡洛方法从理想系统计算得出的。在此基础上，我们解决了一维物体在长度，角度各向异性和曲率半径上的摄动影响，这与在特制样品中实验观察到的相符。

更新日期：2018-06-19

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