Measurements for thermal diffusivity of graphene? We have known for a long time that graphene has in-plane thermal conductivity ranging between 2000 and 4000 $W m^{-1} K^{-1}$. But in order to model heat transport on a sheet of graphene, we need more than the conductivity: we also need specific heat in order to obtain the thermal diffusivity that is used in the equation.
I couldn't find any measurement results online for this quantity. I've only seen some crude estimates based on phonon transport, but even so, no specific figures.
 A: According to this article, the molar heat capacities of graphite and graphene should be identical above roughly 100 Kelvin. The heat capacity of graphene is dominated by phonon contributions above roughly 1 Kelvin (below that, free electron heat capacity becomes a significant contributor).
The molar heat capacity of graphite at room temperature is $8.53\text{ J mol}^{-1}\text{K}^{-1}$.
A: 1- Lin H, Xu S, Wang X, Mei N 2013 Nanotechnology 24 415706.
2- H. Cabrera et al Thermal diffusivity of few-layers graphene measured by an all-optical method
(forthcoming paper) J. Phys. D: Appl. Phys.: http://iopscience.iop.org/0022-3727/page/Forthcoming%20articles;jsessionid=9DEA4B129430EB2B3EB18BBC27C4B940.c1
A: here you are about thermal diffusivity of graphene measured with a non contact method
http://iopscience.iop.org/article/10.1088/0022-3727/48/46/465501
Although single layer graphene exhibits a very high
thermal diffusivity, this parameter can be significantly reduced
in the presence of additional layers, approaching eventually the
value of bulk graphite, for example thermal diffusivities were calculated
as D = (6.5 ± 0.09) × 10−4 m2 s−1, D = (1.9 ± 0.07) × 10−4
m2 s−1 and D = (1.3 ± 0.05) × 10−4 m2 s−1 for four, eight and
sixteen graphene layers respectively.
For more details see
http://iopscience.iop.org/article/10.1088/0022-3727/48/46/465501
and an additional confirmation of these results can be found in a recently published article with very similar results
The defect level and ideal thermal conductivity of
graphene uncovered by residual thermal reffusivity
at the 0 K limit
