Thermally Induced Local Failures in Quasi-One-Dimensional Systems: Collapse in Carbon Nanotubes, Necking in Nanowires and Opening of Bubbles in DNA

TL;DR

This paper introduces a unified theoretical framework to analyze thermally activated local failures in quasi-one-dimensional systems, predicting temperature-dependent behaviors in carbon nanotubes, nanowires, and DNA bubbles, with implications for experimental observation.

Contribution

It provides a general model for thermally induced failures in quasi-1D systems and predicts their temperature dependence, unifying phenomena across different materials.

Findings

Probability of DNA bubble opening follows exponential behavior.

Average distance between nanotube flattenings decreases with temperature.

Events become rare below a certain temperature threshold.

Abstract

We present a general framework to explore thermally activated failures in quasi one dimensional systems. We apply it to the collapse of carbon nanotubes, the formation of bottlenecks in nanowires, both of which limit conductance, and the opening of local regions or "bubbles" of base pairs in strands of DNA that are relevant for transcription and danaturation. We predict an exponential behavior for the probability of the opening of bubbles in DNA, the average distance between flattened regions of a nanotube or necking in a nanowire as a monotonically decreasing function of temperature, and compute a temperature below which these events become extremely rare. These findings are difficult to obtain numerically, however, they could be accessible experimentally.