Young's modulus of Graphene: a molecular dynamics study

The Young’s modulus of graphene is investigated through the intrinsic thermal vibration in graphene which is `observed’ by molecular dynamics, and the results agree quite well with the recent experiment [Science $\mathbf{\text{321}}$, 385 (2008)]. This method is further applied to show that the Young’s modulus of graphene: 1. increases with increasing size and saturation is reached after a threshold value of the size; 2. increases from 0.95 TPa to 1.1 TPa as temperature increases in the region [100, 500]K; 3. is insensitive to the isotopic disorder in the low disorder region ($<5$), and decreases gradually after further increasing the disorder percentage.