NANOSCALE EFFECTS OF SURFACES AND LUBRICANTS ON FRICTION

2006 ◽  
Vol 13 (02n03) ◽  
pp. 235-240 ◽  
Author(s):  
TAKAAKI KAWAGUCHI ◽  
HIROSHI MATSUKAWA
Keyword(s):  
Phase Transition ◽  
Interaction Potential ◽  
Frictional Force ◽  
Lattice Model ◽  
Solid Surfaces ◽  
Lubricant Layer ◽  
Scaling Relation ◽  
Pinning Mechanism

Nanoscale frictional phenomena at solid–solid surfaces with lubricants are studied numerically using a lattice model which consists of two rigid substrates and a monolayer of lubricant molecules. The maximum static frictional force, which works on the driven upper solid, is always finite and obeys a certain scaling relation. The lubricant layer, however, shows a kind of phase transition from a pinned state to free sliding state when the strength of the interaction potential with the substrates decreases. We discuss the peculiar pinning mechanism of the upper substrate in the presence of a lubricant monolayer.

scholarly journals Bose-Einstein quantum phase transition in an optical lattice model

2004 ◽  
pp. 337-349 ◽  
Author(s):  
Michael Aizenman ◽  
Elliott H. Lieb ◽  
Robert Seiringer ◽  
Jan Philip Solovej ◽  
Jakob Yngvason
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Lattice Model ◽  
Optical Lattice ◽  
Quantum Phase ◽  
Bose Einstein

scholarly journals Generalized Independence in the q-Voter Model: How Do Parameters Influence the Phase Transition?

Entropy ◽  
2020 ◽  
Vol 22 (1) ◽  
pp. 120 ◽  
Author(s):  
Angelika Abramiuk ◽  
Katarzyna Sznajd-Weron
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Broad Spectrum ◽  
Order Parameter ◽  
Analytical Formula ◽  
Voter Model ◽  
Pair Approximation ◽  
Scaling Relation ◽  
Independent Behavior

We study the q-voter model with flexibility, which allows for describing a broad spectrum of independence from zealots, inflexibility, or stubbornness through noisy voters to self-anticonformity. Analyzing the model within the pair approximation allows us to derive the analytical formula for the critical point, below which an ordered (agreement) phase is stable. We determine the role of flexibility, which can be understood as an amount of variability associated with an independent behavior, as well as the role of the average network degree in shaping the character of the phase transition. We check the existence of the scaling relation, which previously was derived for the Sznajd model. We show that the scaling is universal, in a sense that it does not depend neither on the size of the group of influence nor on the average network degree. Analyzing the model in terms of the rescaled parameter, we determine the critical point, the jump of the order parameter, as well as the width of the hysteresis as a function of the average network degree ⟨ k ⟩ and the size of the group of influence q.

A Lattice Model for the Adsorption Kinetics of Proteins on Solid Surfaces

1994 ◽  
Vol 98 (18) ◽  
pp. 4906-4912 ◽  
Author(s):  
S. M. Ricci ◽  
J. Talbot ◽  
P. Schaaf ◽  
B. Senger ◽  
J. C. Voegel
Keyword(s):  
Adsorption Kinetics ◽  
Lattice Model ◽  
Solid Surfaces ◽  
Kinetics Of
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