The impact of the temperature control method on the thermal conductivity of a small sheet of graphene is studied. Equilibrium Molecular Dynamics (EMD) simulations are used to evaluate the heat current fluctuations and thermal conductivity calculations. The Tersoff potential model is used to determine the covalent interactions between carbon atoms of the graphene’s honeycomb structure. Green-Kubo relations are employed to estimate thermal conductivity values. Andersen and Berendsen thermostats are separately utilized to obtain a desired temperature for the canonical (NVT) ensemble. The influence of the chosen thermostat on the estimated thermal conductivity found to be significant. The wide range of computational and experimental results shows that further work is required to confidently determine the thermal conductivity of this material.

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