Self-Organized Criticality in Nanotribology

2003 ◽  
Vol 782 ◽  
Author(s):  
Micha Adler ◽  
John Ferrante ◽  
Alan Schilowitz ◽  
Dalia Yablon ◽  
Fredy Zypman
Keyword(s):  
Dry Friction ◽  
Sliding Friction ◽  
Stick Slip ◽  
Slip Mechanism ◽  
Flat Surfaces ◽  
Self Organized ◽  
Atomic Force ◽  
Lateral Forces ◽  
Self Organized Criticality ◽  
Sliding Distance

ABSTRACTWe present experimental results on dry friction, which are consistent with the hypothesis that the stick-slip mechanism for energy release is described by self-organized criticality. The data, obtained with an Atomic Force Microscope set to measure lateral forces– examines the variation of the friction force as a function of time – or sliding distance. The materials studied were nominally flat surfaces of mica, quartz, silica and steel. An analysis of the data shows that the probability distribution of slip sizes follows a power law. Our data strongly supports the existence of self-organized criticality for nano-stick-slip in dry sliding friction.

Self-Organized Criticality in a Stick-Slip Process

1991 ◽  
Vol 67 (2) ◽  
pp. 283-283 ◽  
Author(s):  
Hans Jacob S. Feder ◽  
Jens Feder
Keyword(s):  
Stick Slip ◽  
Self Organized ◽  
Self Organized Criticality

scholarly journals Self-Organized Criticality in Stick-Slip Models with Periodic Boundaries

1998 ◽  
Vol 80 (9) ◽  
pp. 1916-1919 ◽  
Author(s):  
Kwan-tai Leung ◽  
Jørgen Vitting Andersen ◽  
Didier Sornette
Keyword(s):  
Stick Slip ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Periodic Boundaries

The contribution of micro/nano-tribology to the interpretation of dry friction

2000 ◽  
Vol 214 (1) ◽  
pp. 11-22 ◽  
Author(s):  
K. L. Johnson
Keyword(s):  
Dry Friction ◽  
Sliding Friction ◽  
Surface Force ◽  
The Real ◽  
Real Area Of Contact ◽  
Atomic Force ◽  
Dislocation Mechanics ◽  
Asperity Contacts ◽  
Friction Measurements

Fundamental studies of the mechanics and physics of dry sliding friction between solid surfaces have been impeded in the past by surface roughness and the difficulty of determining the real area of contact. The last decade has seen an explosive development of techniques to study friction at single-asperity contacts in which the real and apparent contact areas coincide. The contribution of these developments to interpreting dry friction is discussed in this paper. Experiments with smooth compliant rubber led to an appreciation of the role of adhesive forces and to including its effects in contact mechanics. Atomically smooth surfaces are obtained in the surface force apparatus (SFA) through the property of mica to cleave on atomic planes, and in the atomic force/friction microscope (AFM) by the use of nanometre size contacts on single crystals. Based on friction measurements in the SFA and AFM, a hypothesis is advanced that sliding of atomically smooth contacts takes place by the nucleation and propagation of dislocation-like defects through the interface. An analysis by Hurtado and Kim [29] using dislocation mechanics suggests a ‘scale effect’ in which friction is governed by resistance to nucleation in very small contacts and by resistance to propagation in larger contacts.

scholarly journals Statistics of Sliding on Periodic and Atomically Flat Surfaces

2021 ◽  
Vol 7 ◽  
Author(s):  
Maja Srbulovic ◽  
Konstantinos Gkagkas ◽  
Carsten Gachot ◽  
András Vernes
Keyword(s):  
Equations Of Motion ◽  
Two Dimensions ◽  
Analytical Models ◽  
Fourier Series Expansion ◽  
Stick Slip ◽  
Time Resolved ◽  
Flat Surfaces ◽  
Atomic Force ◽  
Reaction Forces ◽  
Atomically Flat

Among the so-called analytical models of friction, the most popular and widely used one, the Prandtl-Tomlinson model in one and two dimensions is considered here to numerically describe the sliding of the tip within an atomic force microscope over a periodic and atomically flat surface. Because in these PT-models, the Newtonian equations of motion for the AFM-tip are Langevin-type coupled stochastic differential equations the resulting friction and reaction forces must be statistically correctly determined and interpreted. For this, it is firstly shown that the friction and reaction forces as averages of the time-resolved ones over the sliding part, are normally (Gaussian) distributed. Then based on this, an efficient numerical scheme is developed and implemented to accurately estimate the means and standard deviations of friction and reaction forces without performing too many repetitions for the same sliding experiments. The used corrugation potential is the simplest one obtained from the Fourier series expansion of the two-dimensional (2D) periodic potential, e.g., for an fcc(111) surface, which permits sliding on both commensurate and incommensurate paths. In this manner, it is proven that the PT-models predict both frictional regimes, namely the structural superlubricity and stick-slip along (in)commensurate sliding paths, if the ratio of mean corrugation and elastic energies is properly set.

Self-organized criticality in a stick-slip process

1991 ◽  
Vol 66 (20) ◽  
pp. 2669-2672 ◽  
Author(s):  
Hans Jacob S. Feder ◽  
Jens Feder
Keyword(s):  
Stick Slip ◽  
Self Organized ◽  
Self Organized Criticality

scholarly journals ON SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN LATTICE MODELS OF COUPLED DYNAMICAL SYSTEMS

1996 ◽  
Vol 10 (10) ◽  
pp. 1111-1151 ◽  
Author(s):  
CONRAD J. PÉREZ ◽  
ÁLVARO CORRAL ◽  
ALBERT DÍAZ-GUILERA ◽  
KIM CHRISTENSEN ◽  
ALEX ARENAS
Keyword(s):  
Dynamical Systems ◽  
Critical Phenomena ◽  
Collective Behavior ◽  
Phase Locking ◽  
Lattice Models ◽  
Stick Slip ◽  
Integrate And Fire ◽  
Self Organized ◽  
Self Organized Criticality ◽  
The Individual

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more complicated attractors. In some cases, these states are identified with self-organized critical phenomena. In other situations, they are identified with clusterization or phase-locking. The conditions leading to such different behaviors in models of integrate-and-fire oscillators and stick-slip processes are reviewed.

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