Origin of Friction Anisotropy on a Quasicrystal Surface

Aleksander E. Filippov, Andrea Vanossi, and Michael Urbakh

Phys. Rev. Lett. 104, 074302 – Published 19 February 2010; Erratum Phys. Rev. Lett. 104, 149901 (2010)

Abstract

Wearless friction force experiments [Science 309, 1354 (2005)] have recently demonstrated that tribological response in quasicrystals could be related to the exotic atomic structure of the bulk material. Here, by numerical simulations, we address the origin of the experimentally observed friction anisotropy on a twofold decagonal quasicrystal surface. We predict the distinct stick-slip patterns in the lateral force along the periodic and quasiperiodic directions, specifically exploring the temperature dependence that rules the transitions between single and multiple-slip regimes of motion.

Received 17 September 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.074302

Erratum

Erratum: Origin of Friction Anisotropy on a Quasicrystal Surface [Phys. Rev. Lett. 104, 074302 (2010)]

Aleksander E. Filippov, Andrea Vanossi, and Michael Urbakh

Phys. Rev. Lett. 104, 149901 (2010)

Authors & Affiliations

Aleksander E. Filippov¹, Andrea Vanossi^2,3, and Michael Urbakh⁴

¹Donetsk Institute for Physics and Engineering of NASU, 83144, Donetsk, Ukraine
²International School for Advanced Studies (SISSA) and CNR-IOM Democritos National Simulation Center, Via Beirut 2-4, 34014 Trieste, Italy
³CNR-INFM National Research Center S3 and Department of Physics, University of Modena and Reggio Emilia, Via Campi 213/A, 41100 Modena, Italy
⁴School of Chemistry, Tel Aviv University, 69978 Tel Aviv, Israel

Comments & Replies

Comment on “Origin of Friction Anisotropy on a Quasicrystal Surface”

K. McLaughlin, D. Rabson, and P. Thiel

Phys. Rev. Lett. 107, 209401 (2011)

Filippov, Vanossi, and Urbakh Reply:

Aleksander E. Filippov, Andrea Vanossi, and Michael Urbakh

Phys. Rev. Lett. 107, 209402 (2011)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 104, Iss. 7 — 19 February 2010

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Images

Figure 1
Collage of the STM image of a fragment of twofold Al-Ni-Co surface [6] with the numerically generated potential (3). Al atomic rows along the periodic $y$ axis exhibit periodicity of $a = 0.4 nm$ . In the aperiodic $x$ direction, these rows are separated by short and long distances ( $S = 0.8 nm$ , $L = 1.3 nm$ ) following the Fibonacci sequence. The surface topography is well reproduced by a surface potential (3) composed of a set of anisotropic Gaussian functions.Reuse & Permissions
Figure 2
Dependence of the mean friction force (bold curves) and its projections on the periodic (open circles) and aperiodic (dots) axes on the pulling direction. (a) Numerical results for the twofold Al-Ni-Co surface shown in Fig. 1; (b) numerical results for a model quasicrystal surface which exhibits identical corrugation lengths along the periodic and aperiodic directions; i.e., $S \equiv a = 0.4 nm$ and $L = τ S$ . Other parameters: $γ = 5 \times 10^{- 6} kg / s$ , $U_{0} = 4 \times 10^{- 20} J$ , $m = 5 \times 10^{- 11} kg$ , $V = 150 nm / s$ , $K = 1.5 N / m$ , $T = 40 ° K$ .Reuse & Permissions
Figure 3
Time series of friction forces and corresponding tip trajectories, obtained for the pulling at the angle $ϑ = π / 4$ . Panels (a),(b) and (c),(d) show the friction response in the $x$ -aperiodic and $y$ -periodic directions, respectively. Dashed lines in (b) and (d) mark two characteristic length scales, $S = 2 a$ and $L = 2 τ a$ , observed for the stick-slip motion in the aperiodic direction and three lengths, $a$ , $2 a$ , $3 a$ for the periodic directions. All parameters are as in Fig. 2.Reuse & Permissions
Figure 4
Probability distribution functions (PDFs) for slip lengths in aperiodic (a) and periodic (b) directions for the same parameters as in Fig. 3. Solid and dashed curves correspond to low and high temperatures, $T = 40$ and 400 K, respectively. Maxima in the PDFs correspond to the characteristic lengths marked in Fig. 3. The parameters are as in Fig. 2.Reuse & Permissions
Figure 5
Temperature dependencies of the mean friction force in the aperiodic (a) and periodic (b) directions for three pulling velocities: $V = 75 nm / s$ (squares), $150 nm / s$ (circles), and $300 nm / s$ (dots). Solid lines in (a) show analytical estimations according to the equation, $⟨ F ⟩ = F_{c} - B T^{2 / 3} {ln }^{2 / 3} (B T / V)$ . In the panel (b) temperature intervals exhibiting distinct velocity dependencies of the friction force are marked by the oppositely oriented arrows, which show a direction of velocity increase. The parameters are as in Fig. 2.Reuse & Permissions

Physical Review Letters