This paper is part of a study of the frictional dynamics of a confined solid lubricant film-modelled. as a ID chain of interacting particles confined between two ideally incommensurate substrates, one of which is driven relative to the other through an attached spring moving at constant velocity. This model system is characterized by three inherent length scales; depending on the precise choice of incommensurability among them it displays a strikingly different tribological behavior.Contrary to two length-scale systems such as the standard Frenkel-Kontorova (FK) model, for large chain stiffness one finds that here the most favorable (lowest friction) sliding regime is achieved by chain-substrate incommensurabilities belonging to the class of non-quadratic irrational numbers (e.g., the spiral mean). The well-known golden-mean (quadratic) incommensurability which slides best in the standard FK model shows instead higher kinetic friction values. The underlying reason lies in the pinning properties of the lattice of solitons formed by the chain with the substrate having the closest periodicity, with the other slider.

Lubricated friction between incommensurate substrates / Vanossi, A; Santoro, Giuseppe Ernesto; Manini, N; Tosatti, E; Braun, Om. - In: TRIBOLOGY INTERNATIONAL. - ISSN 0301-679X. - 41:9-10(2008), pp. 920-925. [10.1016/j.triboint.2007.11.008]

Lubricated friction between incommensurate substrates

Santoro, Giuseppe Ernesto;
2008-01-01

Abstract

This paper is part of a study of the frictional dynamics of a confined solid lubricant film-modelled. as a ID chain of interacting particles confined between two ideally incommensurate substrates, one of which is driven relative to the other through an attached spring moving at constant velocity. This model system is characterized by three inherent length scales; depending on the precise choice of incommensurability among them it displays a strikingly different tribological behavior.Contrary to two length-scale systems such as the standard Frenkel-Kontorova (FK) model, for large chain stiffness one finds that here the most favorable (lowest friction) sliding regime is achieved by chain-substrate incommensurabilities belonging to the class of non-quadratic irrational numbers (e.g., the spiral mean). The well-known golden-mean (quadratic) incommensurability which slides best in the standard FK model shows instead higher kinetic friction values. The underlying reason lies in the pinning properties of the lattice of solitons formed by the chain with the substrate having the closest periodicity, with the other slider.
2008
41
9-10
920
925
Vanossi, A; Santoro, Giuseppe Ernesto; Manini, N; Tosatti, E; Braun, Om
File in questo prodotto:
File Dimensione Formato  
Vanossi_Tribo08.pdf

non disponibili

Licenza: Non specificato
Dimensione 618.83 kB
Formato Adobe PDF
618.83 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15013
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
social impact