Recent experiment and theoretical results show that thermal wave is more likely to occur in the low dimensional nonmetallic materials, such as graphene. In this article, based on the Guyer-Krumhansl model we derive the occurrence condition of the overshooting phenomenon in suspended graphene. This condition indicates that at the temperature 100 K if the size of suspended graphene is within the required range of about micro to millimeter, phonon transport is in the under-damped free oscillation regime and the overshooting can occur. Furthermore, we find that the overshooting phenomenon induced by the interference of thermal waves can cause the temperature in the heat conduction medium three times more than that of the temperature at the boundary, and the effective thermal conductivity of suspended graphene is more than six times of its bulk counterpart. Finally, an experimental plan to demonstrate the overshooting phenomenon (or second sound) in suspended graphene is proposed.

最近的实验和理论结果表明，在低维非金属材料（例如石墨烯）中更容易发生热波。在本文中，基于Guyer-Krumhansl模型，我们得出了悬浮石墨烯中超调现象的发生条件。此条件表明，在100 K的温度下，如果悬浮的石墨烯的尺寸在所需的约微毫米至毫米的范围内，则声子传输处于阻尼不足的自由振荡状态，并且可能发生过冲。此外，我们发现由热波的干扰引起的超调现象会导致导热介质中的温度比边界处的温度高三倍，悬浮石墨烯的有效导热系数是其本体导热系数的六倍以上。最后，提出了一个实验计划来证明悬浮石墨烯中的过冲现象（或第二种声音）。