Mpemba-Like Behavior in Carbon Nanotube Resonators
Surprising Mpemba-like dissipation is observed during computer simulated ring-down of the flexural modes of a single-walled carbon nanotube resonator. Vibrations are made to decay to zero faster by adding a larger initial excitation. We liken this counterintuitive observation to the well-known Mpemba effect in which hot water freezes faster that cold water. In both cases, the system seems to pose a memory of its thermal history; a paradoxical result that is reconciled if the dissipative state of the system is not described uniquely by the system’s average temperature. A vibrational mode projection algorithm is used to track the dissipation pathway, showing that dissipation is dependent strongly on the development of an athermal phonon population. The implications of Mpemba-like behavior in more general, and continuously driven, nanomechanical systems are discussed.
KeywordsFlexural Mode Excited Mode Microcanonical Ensemble Background Mode Attenuation Profile
This project received funding from the Defense Threat Reduction Agency—Joint Science and Technology Office for Chemical and Biological Defense (Grant HDTRA1-09-1-0006).
- 10.B. Witkamp, M. Poot, and H.S.J. van der Zant: Nano Lett., 2006, vol. 6, pp. 2904–29–8.Google Scholar
- 14.K. Jensen, H.B. Peng, and A. Zettl: Int. Conf. Nanosci. Nanotechnol., IEEE, New York, NY, 2006, pp. 68–71.Google Scholar
- 18.S. Plimpton: J. Computat. Phys., 1995, vol. 117, pp. 1–19. http://lammps.sandia.go.
- 19.E.B. Mpemba and D.G. Osborne: Phys. Educ., 1969, pp. 172–75.Google Scholar