Abstract
Herein, frictional phonon dissipation in monolayer/bilayer graphene was modeled using phonon spectra based on molecular dynamics simulations. The results indicate that the number of excited acoustic phonon modes is the primary reason for increased friction. Specifically, the frequencies of flexural acoustic modes shifted to high levels as thickness increased during the sliding process, resulting in increased friction. The increase in friction with sliding velocity is caused by an increase in the number of in-plane acoustic modes. Higher normal loads can increase both the in-plane and flexural acoustic modes, leading to increased friction. Our observations further suggest that the variation in temperature at the friction interface results from the competition between frictional energy and thermal conductivity. Both high normal loads and thick layers increase the thermal conductivity, ultimately improving the friction dissipation efficiency. Hence, it can be concluded that the increase in thermal conductivity is the reason for the counterintuitive decrease in the interfacial temperature resulting from high friction.
Graphical Abstract
Similar content being viewed by others
References
Berman, D., Deshmukh, S.A., Sankaranarayanan, S.K., Erdemir, A., Sumant, A.V.: Macroscale superlubricity enabled by graphene nanoscroll formation. Science 348, 1118–1122 (2015)
Li, S., Li, Q., Carpick, R.W., Gumbsch, P., Liu, X.Z., Ding, X., et al.: The evolving quality of frictional contact with graphene. Nature 539, 541–545 (2016)
Xu, J., Luo, T., Chen, X., Zhang, C., Luo, J.: Nanostructured tribolayer-dependent lubricity of graphene and modified graphene nanoflakes on sliding steel surfaces in humid air. Tribol. Int. 145, 106203 (2020)
Kumar, D., Jain, J., Gosvami, N.N.: Macroscale to nanoscale tribology of magnesium-based alloys: a review. Tribol. Lett. 70, 1–29 (2022)
Bai, L., Meng, Y., Zhang, V., Khan, Z.A.: Effect of surface topography on ZDDP Tribofilm formation during running-in stage subject to boundary lubrication. Tribol. Lett. 70, 1–16 (2022)
Krim, J.: Atomic-scale origins of friction. Langmuir 12, 4564–4566 (1996)
Dong, Y., Tao, Y., Feng, R., Zhang, Y., Duan, Z., Cao, H.: Phonon dissipation in friction with commensurate–incommensurate transition between graphene membranes. Nanotechnology 31, 285711 (2020)
Dong, Y., Duan, Z., Tao, Y., Wei, Z., Gueye, B., Zhang, Y., et al.: Friction evolution with transition from commensurate to incommensurate contacts between graphene layers. Tribol. Int. 136, 259–266 (2019)
Hu, Y.-Z., Ma, T.-B., Wang, H.: Energy dissipation in atomic-scale friction. Friction 1, 24–40 (2013)
Wei, Z., Duan, Z., Kan, Y., Zhang, Y., Chen, Y.: Phonon energy dissipation in friction between graphene/graphene interface. J. Appl. Phys. 127, 015105 (2020)
Dong, Y., Ding, Y., Rui, Z., Lian, F., Hui, W., Wu, J., et al.: Tuning the interfacial friction force and thermal conductance by altering phonon properties at contact interface. Nanotechnology 33, 235401 (2022)
Krim, J., Solina, D., Chiarello, R.: Nanotribology of a Kr monolayer: a quartz-crystal microbalance study of atomic-scale friction. Phys. Rev. Lett. 66, 181 (1991)
Cieplak, M., Smith, E.D., Robbins, M.O.: Molecular origins of friction: the force on adsorbed layers. Science 265, 1209–1212 (1994)
Persson, B., Ryberg, R.: Brownian motion and vibrational phase relaxation at surfaces: CO on Ni (111). Phys. Rev. B 32, 3586 (1985)
Sokoloff, J.: Possible nearly frictionless sliding for mesoscopic solids. Phys. Rev. Lett. 71, 3450 (1993)
Torres, E.S., Gonçalves, S., Scherer, C., Kiwi, M.: Nanoscale sliding friction versus commensuration ratio: molecular dynamics simulations. Phys. Rev. B 73, 035434 (2006)
Prasad, M.V., Bhattacharya, B.: Phononic origins of friction in carbon nanotube oscillators. Nano Lett. 17, 2131–2137 (2017)
Chen, Y., Yang, J., Wang, X., Ni, Z., Li, D.: Temperature dependence of frictional force in carbon nanotube oscillators. Nanotechnology 20, 035704 (2008)
Cook, E.H., Buehler, M.J., Spakovszky, Z.S.: Mechanism of friction in rotating carbon nanotube bearings. J. Mech. Phys. Solids 61, 652–673 (2013)
Cannara, R.J., Brukman, M.J., Cimatu, K., Sumant, A.V., Baldelli, S., Carpick, R.W.: Nanoscale friction varied by isotopic shifting of surface vibrational frequencies. Science 318, 780–783 (2007)
Wada, N., Ishikawa, M., Shiga, T., Shiomi, J., Suzuki, M., Miura, K.: Superlubrication by phonon confinement. Phys. Rev. B 97, 161403 (2018)
Liu, X.-Z., Ye, Z., Dong, Y., Egberts, P., Carpick, R.W., Martini, A.: Dynamics of atomic stick-slip friction examined with atomic force microscopy and atomistic simulations at overlapping speeds. Phys. Rev. Lett. 114, 146102 (2015)
Fan, X., Hu, Z., Huang, W.: In-situ TEM studies on stick-slip friction characters of sp2 nanocrystallited carbon films. Friction (2022). https://doi.org/10.1007/s40544-021-0551-z
Zong, K., Qin, Z., Chu, F.: Modeling of frictional stick-slip of contact interfaces considering normal fractal contact. J. Appl. Mech. 89, 031003 (2022)
Duan, Z., Wei, Z., Huang, S., Wang, Y., Sun, C., Tao, Y., et al.: Resonance in atomic-scale sliding friction. Nano Lett. 21, 4615–4621 (2021)
Filleter, T., McChesney, J.L., Bostwick, A., Rotenberg, E., Emtsev, K.V., Seyller, T., et al.: Friction and dissipation in epitaxial graphene films. Phys. Rev. Lett. 102, 086102 (2009)
Seol, J.H., Jo, I., Moore, A.L., Lindsay, L., Aitken, Z.H., Pettes, M.T., et al.: Two-dimensional phonon transport in supported graphene. Science 328, 213–216 (2010)
Chen, J., Walther, J.H., Koumoutsakos, P.: Strain engineering of Kapitza resistance in few-layer graphene. Nano Lett. 14, 819–825 (2014)
Zhang, Y.-Y., Pei, Q.-X., Jiang, J.-W., Wei, N., Zhang, Y.-W.: Thermal conductivities of single-and multi-layer phosphorene: a molecular dynamics study. Nanoscale 8, 483–491 (2016)
Li, X., Maute, K., Dunn, M.L., Yang, R.: Strain effects on the thermal conductivity of nanostructures. Phys. Rev. B 81, 245318 (2010)
Ishikawa, M., Wada, N., Miyakawa, T., Matsukawa, H., Suzuki, M., Sasaki, N., et al.: Experimental observation of phonon generation and propagation at a Mo S 2 (0001) surface in the friction process. Phys. Rev. B 93, 201401 (2016)
Wang, J., Zhu, L., Chen, J., Li, B., Thong, J.T.: Suppressing thermal conductivity of suspended tri-layer graphene by gold deposition. Adv. Mater. 25, 6884–6888 (2013)
Medyanik, S.N., Liu, W.K., Sung, I.-H., Carpick, R.W.: Predictions and observations of multiple slip modes in atomic-scale friction. Phys. Rev. Lett. 97, 136106 (2006)
Zhang, H., Guo, Z., Gao, H., Chang, T.: Stiffness-dependent interlayer friction of graphene. Carbon 94, 60–66 (2015)
Lee, C., Wei, X., Kysar, J.W., Hone, J.: Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321, 385–388 (2008)
Lebedeva, I.V., Knizhnik, A.A., Popov, A.M., Ershova, O.V., Lozovik, Y.E., Potapkin, B.V.: Fast diffusion of a graphene flake on a graphene layer. Phys. Rev. B 82, 155460 (2010)
Lindsay, L., Broido, D.: Optimized Tersoff and Brenner empirical potential parameters for lattice dynamics and phonon thermal transport in carbon nanotubes and graphene. Phys. Rev. B 81, 205441 (2010)
Tersoff, J.: New empirical approach for the structure and energy of covalent systems. Phys. Rev. B 37, 6991 (1988)
Plimpton, S.: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)
Singer, I.L., Pollock, H.: Fundamentals of friction: macroscopic and microscopic processes. Springer Science & Business Media (2012)
Buldum, A., Leitner, D., Ciraci, S.: Model for phononic energy dissipation in friction. Phys. Rev. B 59, 16042 (1999)
Mo, Y., Turner, K.T., Szlufarska, I.: Friction laws at the nanoscale. Nature 457, 1116 (2009)
Sun, J., Lu, Y., Feng, Y., Lu, Z., Zhang, G.A., Yuan, Y., et al.: Friction-load relationship in the adhesive regime revealing potential incapability of AFM investigations. Tribology Letters 68, 1–8 (2020)
Xu, L., Ma, T.-B., Hu, Y.-Z., Wang, H.: Vanishing stick–slip friction in few-layer graphenes: the thickness effect. Nanotechnology 22, 285708 (2011)
Ma, F., Zheng, H., Sun, Y., Yang, D., Xu, K., Chu, P.K.: Strain effect on lattice vibration, heat capacity, and thermal conductivity of graphene. Appl. Phys. Lett. 101, 111904 (2012)
Bonini, N., Garg, J., Marzari, N.: Acoustic phonon lifetimes and thermal transport in free-standing and strained graphene. Nano Lett. 12, 2673–2678 (2012)
Huang, P., Castellanos-Gomez, A., Guo, D., Xie, G., Li, J.: Frictional characteristics of suspended MoS2. The Journal of Physical Chemistry C 122, 26922–26927 (2018)
Mounet, N., Marzari, N.: First-principles determination of the structural, vibrational and thermodynamic properties of diamond, graphite, and derivatives. Phys. Rev. B 71, 205214 (2005)
Woods, C., Britnell, L., Eckmann, A., Ma, R., Lu, J., Guo, H., et al.: Commensurate–incommensurate transition in graphene on hexagonal boron nitride. Nat. Phys. 10, 451 (2014)
Shibuta, Y., Elliott, J.A.: Interaction between two graphene sheets with a turbostratic orientational relationship. Chem. Phys. Lett. 512, 146–150 (2011)
Lin, G.-R., Lo, T.-C., Tsai, L.-H., Pai, Y.-H., Cheng, C.-H., Wu, C.-I., et al.: Finite silicon atom diffusion induced size limitation on self-assembled silicon quantum dots in silicon-rich silicon carbide. J. Electrochem. Soc. 159, K35–K41 (2011)
Patsha, A., Dhara, S.: Size-dependent localized phonon population in semiconducting Si nanowires. Nano Lett. 18, 7181–7187 (2018)
Li, J., Li, Y., Cao, P.-C., Qi, M., Zheng, X., Peng, Y.-G., et al.: Reciprocity of thermal diffusion in time-modulated systems. Nat. Commun. 13, 1–8 (2022)
Guo, X., Tian, Q., Wang, Y., Liu, J., Jia, G., Dou, W., et al.: Phonon anharmonicities in 7-armchair graphene nanoribbons. Carbon 190, 312–318 (2022)
Zhou, Y., Dong, Z.-Y., Hsieh, W.-P., Goncharov, A.F., Chen, X.-J.: Thermal conductivity of materials under pressure. Nature Reviews Physics 4, 1–17 (2022). https://doi.org/10.1038/s42254-022-00423-9
Zhang, Y., Wang, W., Zhang, F., Huang, L., Dai, K., Li, C., et al.: Micro-diamond assisted bidirectional tuning of thermal conductivity in multifunctional graphene nanoplatelets/nanofibrillated cellulose films. Carbon 189, 265–275 (2022)
Qian, X., Zhou, J., Chen, G.: Phonon-engineered extreme thermal conductivity materials. Nat. Mater. 20, 1188–1202 (2021)
Acknowledgements
We are grateful for the support provided by the National Natural Science Foundation of China (52065037, 51665030, and 52065036), Chinese Postdoctoral Science Foundation (2021MD703810), Postdoctoral Science Foundation of Gansu Academy of Sciences (BSH202101), Doctoral Foundation of Lanzhou University of Technology (062101), and Educational Unveiling Leadership Project of Gansu Province of China (2021jyjbgs01).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
The authors declare that there is no competing financial interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Dong, Y., Hui, W., Lian, F. et al. Phononic Friction in Monolayer/Bilayer Graphene. Tribol Lett 70, 72 (2022). https://doi.org/10.1007/s11249-022-01612-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11249-022-01612-4