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Abstract
Graphene is an excellent heat conductor, with the potential to be used as a heat spreader for applications where there are fast, transient heat pulses. In this study we analyze and describe energy transport in graphene subject to an initial pulse of energy. We analyze the effects of using harmonic, anharmonic, and a non-linear (Tersoff) potentials to describe the transient energy transport and compare these to classical continuum descriptions. The energy pulse produces pure wave-like behavior and a spatial energy distribution that has geometric features similar to the graphene geometry itself. Depending on the potential used, the energy travels outward from the impulse location following a similar pattern as the hexagonal shape of graphene. This pattern is clearly identified when the transport is treated with a harmonic potential. Increasing the anharmonicity and non-linearity dampens this effect and results in thermal transport that does not follow the geometry of graphene.
Highlights
During the last 30 years there has been an exponential growth of devices and technologies built from materials at the nanoscale, in large part a result of the advances in transistors predicted by Moore (1965)
In order to analyze our simulations of the dynamics in the graphene sheet, we compare the behavior to classical wave and diffusive transport by analyzing a 2-d sheet using continuum expressions
We investigated the transport of a single, discrete pulse of thermal energy through a periodic graphene sheet
Summary
During the last 30 years there has been an exponential growth of devices and technologies built from materials at the nanoscale, in large part a result of the advances in transistors predicted by Moore (1965). Discovered by Novoselov et al (2004), graphene has been shown to have excellent electrical properties including an extremely high electron mobility (Geim and Novoselov, 2007), and is a promising material to continue this growth. It has good mechanical properties including a large Young’s modulus that makes it a rigid and strong material (Frank et al, 2007). Calculations of the thermal conductivity from theoretical models and computational
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