Abstract
In this work, we study the heat conduction properties of a one-dimensional Frenkel–Kontorova lattice driven by an external, time-periodic biharmonic force applied locally at one boundary and in contact with two heat reservoirs operating at different temperature by means of molecular dynamics simulations. In the single-frequency externally driven case already studied it was observed that there is a value of the driving frequency at which the heat flux takes its maximum value, a phenomenon termed as thermal resonance. It was also determined that it is possible to direct the heat flow against the imposed temperature bias by adjusting the frequency of the single harmonic driving force. With the implementation of the biharmonic forcing we have explored the temperature range at which thermal resonance effect is present. Furthermore, we have determined that by changing the relative amplitude of both harmonic components as well as the frequency of the second, taken always as a multiple, not necessarily integer, of the first one, we can adjust the frequency at which the studied effect is present in the proposed model.
Graphical abstract
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Bencowe, Science 304, 56 (2004)
F. Gianzotto, T.T. Hikkilä, A. Luukanen, A.M. Savin, J.P. Pekola, Rev. Mod. Phys. 78, 217 (2006)
M. Maldovan, Nature 503, 209 (2013)
D.G. Cahill, P.V. Braun, G. Chen, D.R. Clarke, S. Fan, K.E. Goodson, P. Keblinski, W.P. King, G.D. Mahan, A. Majumdar, H.J. Maris, S.R. Phillpot, E. Pop, L. Shi, Appl. Phys. Rev. 1, 011305 (2014)
E.H.C. Bromley, N.J. Kuwada, M.J. Zuckermann, R. Donadini, L. Samii, G.A. Blab, G.J. Gemmen, B.J. Lopez, P.M.G. Curmi, N.R. Forde, D.N. Woolfson, H. Linke, HFSP J. 3, 204 (2009)
H. Murakami, A. Kawabuchi, K. Kotoo, M. Kunitake, N. Nakashima, J. Am. Chem. Soc. 119, 7605 (1997)
C. Cheng, P.R. McGonigal, S.T. Schneebeli, H. Li, N.A. Vermeulen, C. Ke, J.F. Stoddart, Nat. Nanotechnol. 10, 547 (2015)
V. Blickle, C. Bechinger, Nat. Phys. 8, 143 (2012)
I. Bargatin, M.L. Roukes, Phys. Rev. Lett. 91, 138302 (2003)
J. Feng, M. Graf, K. Liu, D. Ovchinnikov, D. Dumcenco, M. Heiranian, V. Nandigana, N.R. Aluru, A. Kis, A. Radenovic, Nature 536, 197 (2016)
M. Terraneo, M. Peyrard, G. Casati, Phys. Rev. Lett. 88, 094302 (2002)
B. Li, L. Wang, G. Casati, Phys. Rev. Lett. 93, 184301 (2004)
D. Segal, A. Nitzan, Phys. Rev. Lett. 94, 034301 (2005)
B. Li, L. Wang, G. Casati, Appl. Phys. Lett. 88, 143501 (2006)
L. Wang, B. Li, Phys. Rev. Lett. 99, 177208 (2007)
L. Wang, B. Li, Phys. Rev. Lett. 101, 267203 (2008)
D. Segal, A. Nitzan, Phys. Rev. E 73, 026109 (2006)
F. Zhan, N. Li, S. Kohler, P. Hänggi, Phys. Rev. E 80, 061115 (2009)
N. Li, P. Hänggi, B. Li, Europhys. Lett. 84, 40009 (2008)
N. Li, F. Zhan, P. Hänggi, B. Li, Phys. Rev. E 80, 011125 (2009)
B.Q. Ai, D. He, B. Hu, Phys. Rev. E 81, 031124 (2010)
P. Reimann, Phys. Rep. 361, 57 (2002)
P. Hänggi, F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009)
N. Li, J. Ren, L. Wang, G. Zhang, P. Hänggi, B. Li, Rev. Mod. Phys. 84, 1045 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Romero-Bastida, M., Guerrero-Gonzalez, S. Thermal resonance and energy transport in a biharmonically driven Frenkel–Kontorova lattice. Eur. Phys. J. B 92, 5 (2019). https://doi.org/10.1140/epjb/e2018-90524-7
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2018-90524-7