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Friction and second-order phase transitions.

Mario Einax1, Michael Schulz, Steffen Trimper

  • 1Abteilung Theoretische Physik, Universität Ulm, D-89069 Ulm, Germany. mario.einax@physik.uni-ulm.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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This study numerically models wearless dry friction using a double-chain model. It reveals a critical interaction strength, analogous to a second-order phase transition, determining the onset of static friction between interfaces.

Area of Science:

  • Physics
  • Materials Science
  • Tribology

Background:

  • Understanding dry friction at the atomic scale is crucial for material design and performance.
  • Previous models often overlook microscopic details of interface interactions.

Purpose of the Study:

  • To numerically investigate wearless dry friction in idealized contact interfaces.
  • To analyze the transition from a frictionless to a static friction state.
  • To establish an analogy between friction behavior and second-order phase transitions.

Main Methods:

  • Utilized a microscopic double-chain model with Lennard-Jones interactions.
  • Introduced an order parameter function to characterize system states.
  • Analyzed critical behavior and calculated critical exponents.

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Main Results:

  • Identified a critical interaction strength (εc) separating frictionless and static friction states.
  • Demonstrated that the transition to static friction is analogous to a second-order phase transition.
  • Linked the breakdown of analyticity in a hull function to this phase transition.

Conclusions:

  • The study provides a microscopic understanding of wearless dry friction onset.
  • The analogy to phase transitions offers a new perspective on tribological phenomena.
  • Finite-size scaling validity was confirmed, supporting the model's predictions.