Abstract
Friction between solids is responsible for many phenomena such as earthquakes, wear or crack propagation1,2,3,4. Unlike macroscopic objects, which only touch locally owing to their surface roughness, spatially extended contacts form between atomically flat surfaces. They are described by the Frenkel–Kontorova model, which considers a monolayer of interacting particles on a periodic substrate potential5,6,7,8. In addition to the well-known stick–slip motion, such models also predict the formation of kinks and antikinks9,10,11,12, which greatly reduce the friction between the monolayer and the substrate. Here, we report the direct observation of kinks and antikinks in a two-dimensional colloidal crystal that is driven across different types of ordered substrate. We show that the frictional properties only depend on the number and density of such excitations, which propagate through the monolayer along the direction of the applied force. In addition, we also observe kinks on quasicrystalline surfaces, which demonstrates that they are not limited to periodic substrates but occur under more general conditions.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Configurable pixelated skyrmions on nanoscale magnetic grids
Communications Physics Open Access 02 December 2021
-
Emergent colloidal currents across ordered and disordered landscapes
Communications Physics Open Access 11 October 2021
-
Structural lubricity in soft and hard matter systems
Nature Communications Open Access 16 September 2020
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout




References
Scholz, C. H. Earthquakes and friction laws. Nature 391, 37–42 (1998).
Persson, B. N. J. Theory of friction and boundary lubrication. Phys. Rev. B 48, 18140–18158 (1993).
Raviv, U. et al. Lubrication by charged polymers. Nature 425, 163–165 (2003).
Rubinstein, S. M., Cohen, G. & Fineberg, J. Detachment fronts and the onset of dynamic friction. Nature 430, 1005–1009 (2004).
Frenkel, J. & Kontorova, T. On the theory of plastic deformation and twinning. Physik. Z. Sowietunion 13, 1–10 (1938).
Kontorova, T. & Frenkel, J. On the theory of plastic deformation and twinning. Zh. Eksp. Teor. Fiz. 8, 89–95 (1938).
Braun, O. M. & Kivshar, Y. S. Nonlinear dynamics of the Frenkel–Kontorova model. Phys. Rep. 306, 1–108 (1998).
Braun, O. M. & Kivshar, Y. S. The Frenkel–Kontorova Model: Concepts, Methods, and Applications (Springer, 2004).
Braun, O. M., Dauxois, T., Paliy, M. V. & Peyrard, M. Mobility and diffusivity in a generalized Frenkel–Kontorova model. Phys. Rev. B 54, 321–331 (1996).
Braun, O. M., Bishop, A. R. & Roder, J. Hysteresis in the underdamped driven Frenkel–Kontorova model. Phys. Rev. Lett. 79, 3692–3695 (1997).
Braun, O. M., Dauxois, T., Paliy, M. V. & Peyrard, M. Nonlinear mobility of the generalized Frenkel–Kontorova model. Phys. Rev. E 55, 3598–3612 (1997).
Tekic, J., Braun, O. M. & Hu, B. B. Dynamic phases in the two-dimensional underdamped driven Frenkel–Kontorova model. Phys. Rev. E 71, 026104 (2005).
Bowden, F. P. & Tabor, D. Friction and Lubrication of Solids (ClarendonPress, 1950).
Lee, C. et al. Frictional characteristics of atomically thin sheets. Science 328, 76–80 (2010).
Dienwiebel, M. et al. Superlubricity of graphite. Phys. Rev. Lett. 92, 126101 (2004).
Hirano, M., Shinjo, K., Kaneko, R. & Murata, Y. Observation of superlubricity by scanning tunneling microscopy. Phys. Rev. Lett. 78, 1448–1451 (1997).
Verhoeven, G. S., Dienwiebel, M. & Frenken, J. W. M. Model calculations of superlubricity of graphite. Phys. Rev. B 70, 165418 (2004).
Filippov, A. E., Dienwiebel, M., Frenken, J. W. M., Klafter, J. & Urbakh, M. Torque and twist against superlubricity. Phys. Rev. Lett. 100, 046102 (2008).
Janssen, T. Phonons and internal friction in incommensurate composites. J. Phys. Condens. Matter 14, 12411–12422 (2002).
Janssen, T., Radulescu, O. & Rubtsov, A.N. Phasons, sliding modes and friction. Eur. Phys. J. B 29, 85–95 (2002).
Benassi, A., Vanossi, A. & Tosatti, E. Nanofriction in cold ion traps. Nature Commun. 2, 236 (2011).
Mikhael, J., Roth, J., Helden, L. & Bechinger, C. Archimedean-like tiling on decagonal quasicrystalline surfaces. Nature 454, 501–504 (2008).
Vanossi, A., Bishop, A. R. & Bortolani, V. Role of substrate geometry in sliding friction. Nanotechnology 15, 790–794 (2004).
Park, J. Y. et al. High frictional anisotropy of periodic and aperiodic directions on a quasicrystal surface. Science 309, 1354–1356 (2005).
Dubois, J. M., Kang, S. S. & Vonstebut, J. Quasi-crystalline low-friction coatings. J. Mater. Sci. Lett. 10, 537–541 (1991).
Filippov, A. E., Vanossi, A. & Urbakh, M. Origin of friction anisotropy on a quasicrystal surface. Phys. Rev. Lett. 104, 074302 (2010).
Grimm, B., Hovel, H., Pollmann, M. & Reihl, B. Physisorbed rare-gas monolayers: Evidence for domain-wall tilting. Phys. Rev. Lett. 83, 991–994 (1999).
Bleil, S., von Grunberg, H. H., Dobnikar, J., Castaneda-Priego, R. & Bechinger, C. Strain-induced domain formation in two-dimensional colloidal systems. Europhys. Lett. 73, 450–456 (2006).
Vanossi, A. & Braun, O. M. Driven dynamics of simplified tribological models. J. Phys. Condens. Matter 19, 35017 (2007).
Braun, O. M., Paliy, M. V., Roder, J. & Bishop, A. R. Locked-to-running transition in the two-dimensional underdamped driven Frenkel–Kontorova model. Phys. Rev. E 63, 036129 (2001).
Vanossi, A., Roder, J., Bishop, A. R. & Bortolani, V. Driven, underdamped Frenkel–Kontorova model on a quasiperiodic substrate. Phys. Rev. E 63, 017203 (2001).
Peyrard, M. & Aubry, S. Critical-behaviour at the transition by breaking of analytiticity in the discrete Frenkel–Kontorova model. J. Phys. C 16, 1593–1608 (1983).
Brunner, M., Bechinger, C., Strepp, W., Lobaskin, V. & von Grunberg, H. H. Density-dependent pair interactions in 2D colloidal suspensions. Europhys. Lett. 58, 926–932 (2002).
Acknowledgements
We thank V. Blickle for helpful discussions. This work is financially supported by the Deutsche Forschungsgemeinschaft (BE 1788-10).
Author information
Authors and Affiliations
Contributions
T.B. carried out the experiment and analysed data, J.M. designed the experiment and C.B. designed the experiment and wrote the paper.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Supplementary Information
Supplementary Information (PDF 285 kb)
Supplementary Information
Supplementary Movie (MOV 2186 kb)
Supplementary Information
Supplementary Movie (MOV 3136 kb)
Supplementary Information
Supplementary Movie (MOV 3790 kb)
Supplementary Information
Supplementary Movie (MOV 2871 kb)
Rights and permissions
About this article
Cite this article
Bohlein, T., Mikhael, J. & Bechinger, C. Observation of kinks and antikinks in colloidal monolayers driven across ordered surfaces. Nature Mater 11, 126–130 (2012). https://doi.org/10.1038/nmat3204
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/nmat3204
This article is cited by
-
Configurable pixelated skyrmions on nanoscale magnetic grids
Communications Physics (2021)
-
Emergent colloidal currents across ordered and disordered landscapes
Communications Physics (2021)
-
Morphology selection kinetics of crystallization in a sphere
Nature Physics (2021)
-
Self-templating assembly of soft microparticles into complex tessellations
Nature (2020)
-
Structural lubricity in soft and hard matter systems
Nature Communications (2020)