Friction and second-order phase transitions

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Author list: Einax M, Schulz M, Trimper S

Publisher: American Physical Society

Place: COLLEGE PK

Publication year: 2004

Journal: Physical review E (statistical, nonlinear, biological, and soft matter physics) (2470-0045)

Journal acronym: PHYS REV E

Volume number: 70

Issue number: 4

Number of pages: 9

ISSN: 2470-0045

eISSN: 2470-0053

Languages: English-Great Britain (EN-GB)

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Abstract

A microscopic model is studied numerically to describe wearless dry friction without thermal fluctuations between atomically flat contact interfaces. The analysis is based on a double-chain model with a Lennard-Jones interaction between the chains which are the respective upper flexible monolayers of the rigid bulk systems. Whereas below a critical interaction strength e, the system exhibits a frictionless state, it offers static friction above e, Introducing an appropriate order parameter function we demonstrate the analogy of the critical behavior to a phase transition of second order. The order parameter is related to a hull function describing uniquely the incommensurate ground state of the model. The breakdown of analyticity of the hull function is identified with the phase transition. Critical exponents are calculated and the validity of finite-size scaling is displayed.

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