Thermal expansion in nanoresonators | A. V. Mancardo, A. Monastra, M.Moreno, M.F. Carusela, Journal of Statistical Mechanics: Theory and experiment, 083201 (2016) [pdf]

Thermal expansion in nanoresonators

Agustín Mancardo Viotti1, Alejandro G Monastra1,2, Mariano F Moreno1 and M Florencia Carusela1,2

Published 2 August 2016 © 2016 IOP Publishing Ltd and SISSA Medialab srl
Journal of Statistical Mechanics: Theory and Experiment, Volume 2016, August 2016

Abstract

Inspired by some recent experiments and numerical works related to nanoresonators, we perform classical molecular dynamics simulations to investigate the thermal expansion and the ability of the device to act as a strain sensor assisted by thermally-induced vibrations. The proposed model consists in a chain of atoms interacting anharmonically with both ends clamped to thermal reservoirs. We analyze the thermal expansion and resonant frequency shifts as a function of temperature and the applied strain. For the transversal modes the shift is approximately linear with strain. We also present analytical results from canonical calculations in the harmonic approximation showing that thermal expansion is uniform along the device. This prediction also works when the system operates in a nonlinear oscillation regime at moderate and high temperatures.

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