Commensurate sliding on a multiple-well substrate potential

In the context of microscopic solid friction phenomena, we study the underdamped dynamics of a Frenkel–Kontorova (FK) chain subject to an external dc force and a substrate potential defined by the sum of two sinusoidal functions with different periodicities. Particularly, focusing on mutually commen...

Full description

Saved in:
Bibliographic Details
Published in:Materials Science & Engineering C Vol. 23; no. 6; pp. 879 - 884
Main Authors: Vanossi, A., Röder, J., Bishop, A.R., Bortolani, V.
Format: Journal Article
Language:English
Published: Elsevier B.V 15.12.2003
Subjects:
Friction
Models of nonlinear phenomena
Tribology
Friction
Models of nonlinear phenomena
Tribology
ISSN:0928-4931, 1873-0191
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In the context of microscopic solid friction phenomena, we study the underdamped dynamics of a Frenkel–Kontorova (FK) chain subject to an external dc force and a substrate potential defined by the sum of two sinusoidal functions with different periodicities. Particularly, focusing on mutually commensurate choices for the three inherent length scales of the system allows us to consider the formation of commensurate structures during sliding over the multiple-well on-site potential. These structures characterize the dynamical states observed during the chain motion at different strengths of the imposed driving. We comment on the nature of the particle dynamics in the vicinity of the pinning–depinning transition point and investigate the role played by the coverage variable on the depinning mechanism. The dependence of the minimal force required to initiate the chain motion ( static friction) on the ratio of the model interaction strengths is analyzed and compared to the well-known case of the Frenkel–Kontorova model.
AbstractList In the context of microscopic solid friction phenomena, we study the underdamped dynamics of a Frenkel–Kontorova (FK) chain subject to an external dc force and a substrate potential defined by the sum of two sinusoidal functions with different periodicities. Particularly, focusing on mutually commensurate choices for the three inherent length scales of the system allows us to consider the formation of commensurate structures during sliding over the multiple-well on-site potential. These structures characterize the dynamical states observed during the chain motion at different strengths of the imposed driving. We comment on the nature of the particle dynamics in the vicinity of the pinning–depinning transition point and investigate the role played by the coverage variable on the depinning mechanism. The dependence of the minimal force required to initiate the chain motion ( static friction) on the ratio of the model interaction strengths is analyzed and compared to the well-known case of the Frenkel–Kontorova model.
Author Bortolani, V.
Röder, J.
Bishop, A.R.
Vanossi, A.
Author_xml – sequence: 1
  givenname: A.
  surname: Vanossi
  fullname: Vanossi, A.
  email: vanossi.andrea@unimore.it
  organization: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
– sequence: 2
  givenname: J.
  surname: Röder
  fullname: Röder, J.
  organization: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
– sequence: 3
  givenname: A.R.
  surname: Bishop
  fullname: Bishop, A.R.
  organization: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
– sequence: 4
  givenname: V.
  surname: Bortolani
  fullname: Bortolani, V.
  organization: INFM-S3 e Dipartimento di Fisica, Università di Modena e Reggio Emilia, Via Campi 213/A, 41100 Modena, Italy
BookMark eNp9j9tKxDAQhoOs4O7qC3jVF2idNG0O6I0snmDBG70O3XQiWdJ0SbKKb2_rei0DM_ww3zDfiizCGJCQawoVBcpv9tWQ0FQ1AKtAVZS1Z2RJpWAlUEUXZAmqlmWjGL0gq5T2AFwyUS_J7WYcBgzpGLuMRfKud-GjGEPRFcPRZ3fwWH6h90U67lL-XTqMGUN2nb8k57bzCa_-5pq8Pz68bZ7L7evTy-Z-W5pasVyqtpeirRUHywy30lJl7K6laEE0UwPTTjUnIYxoG8s7LoVUPTWmEdywNalPd00cU4po9SG6oYvfmoKe9fVez_p61teg9KQ_QXcnCKfPPh1GnYzDYLB3EU3W_ej-w38APrdmLQ
Cites_doi 10.1016/0167-2789(83)90129-X
10.1103/PhysRevE.63.017203
10.1103/PhysRevE.58.1601
10.1016/0167-2789(83)90233-6
10.1103/PhysRevLett.78.1295
10.1016/S0167-2789(00)00065-8
10.1103/PhysRevLett.79.3692
10.1103/PhysRevE.67.016605
10.1016/S0370-1573(98)00029-5
10.1103/PhysRevE.58.1612
ContentType Journal Article
Copyright 2003 Elsevier B.V.
Copyright_xml – notice: 2003 Elsevier B.V.
DBID AAYXX
CITATION
DOI 10.1016/j.msec.2003.09.135
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Anatomy & Physiology
EISSN 1873-0191
EndPage 884
ExternalDocumentID 10_1016_j_msec_2003_09_135
S0928493103002303
GroupedDBID --M
.~1
1~.
457
4G.
7-5
8P~
9JN
ABXDB
ADEZE
AEKER
AFTJW
ALMA_UNASSIGNED_HOLDINGS
BLXMC
EO8
EO9
EP2
EP3
FDB
FNPLU
G-Q
J1W
MO0
OAUVE
PC.
Q38
SDF
SDP
SMS
SPC
SPD
T5K
~G-
AAYXX
CITATION
ID FETCH-LOGICAL-c293t-95d8752960f3c6f8f19cfb51ef074ef00c5c5cef0777c754f6a68789d1cc476c3
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000187403500040&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0928-4931
IngestDate Sat Nov 29 03:07:37 EST 2025
Sat Apr 29 22:38:41 EDT 2023
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Issue 6
Keywords Friction
Models of nonlinear phenomena
Tribology
Language English
License https://www.elsevier.com/tdm/userlicense/1.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c293t-95d8752960f3c6f8f19cfb51ef074ef00c5c5cef0777c754f6a68789d1cc476c3
OpenAccessLink https://www.openaccessrepository.it/record/147242
PageCount 6
ParticipantIDs crossref_primary_10_1016_j_msec_2003_09_135
elsevier_sciencedirect_doi_10_1016_j_msec_2003_09_135
PublicationCentury 2000
PublicationDate 2003-12-15
PublicationDateYYYYMMDD 2003-12-15
PublicationDate_xml – month: 12
  year: 2003
  text: 2003-12-15
  day: 15
PublicationDecade 2000
PublicationTitle Materials Science & Engineering C
PublicationYear 2003
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Persson (BIB5) 1998
Braun, Kivshar (BIB8) 1998; 306
Röder, Bishop, Holian, Hammerberg, Mikulla (BIB11) 2000; 142
Strunz, Elmer (BIB2) 1998; 58
Vanossi, Röder, Bishop, Bortolani (BIB9) 2001; 63
Braun, Dauxois, Paliy, Peyrard (BIB3) 1997; 78
Braun, Bishop, Röder (BIB4) 1997; 79
Aubry, Le Daeron (BIB7) 1983; 8
Strunz, Elmer (BIB1) 1998; 58
Vanossi, Röder, Bishop, Bortolani (BIB10) 2003; 67
Aubry (BIB6) 1983; 7
Röder (10.1016/j.msec.2003.09.135_BIB11) 2000; 142
Aubry (10.1016/j.msec.2003.09.135_BIB7) 1983; 8
Braun (10.1016/j.msec.2003.09.135_BIB8) 1998; 306
Vanossi (10.1016/j.msec.2003.09.135_BIB10) 2003; 67
Aubry (10.1016/j.msec.2003.09.135_BIB6) 1983; 7
Braun (10.1016/j.msec.2003.09.135_BIB3) 1997; 78
Persson (10.1016/j.msec.2003.09.135_BIB5) 1998
Strunz (10.1016/j.msec.2003.09.135_BIB1) 1998; 58
Braun (10.1016/j.msec.2003.09.135_BIB4) 1997; 79
Strunz (10.1016/j.msec.2003.09.135_BIB2) 1998; 58
Vanossi (10.1016/j.msec.2003.09.135_BIB9) 2001; 63
References_xml – year: 1998
  ident: BIB5
  article-title: Sliding Friction: Physical Principles and Applications
– volume: 67
  start-page: 16605
  year: 2003
  ident: BIB10
  publication-title: Phys. Rev., E
– volume: 78
  start-page: 1295
  year: 1997
  ident: BIB3
  publication-title: Phys. Rev. Lett.
– volume: 8
  start-page: 381
  year: 1983
  ident: BIB7
  publication-title: Physica, D
– volume: 79
  start-page: 3692
  year: 1997
  ident: BIB4
  publication-title: Phys. Rev. Lett.
– volume: 58
  start-page: 1612
  year: 1998
  ident: BIB2
  publication-title: Phys. Rev., E
– volume: 63
  start-page: 17203
  year: 2001
  ident: BIB9
  publication-title: Phys. Rev., E
– volume: 142
  start-page: 306
  year: 2000
  ident: BIB11
  publication-title: Physica, D
– volume: 7
  start-page: 240
  year: 1983
  ident: BIB6
  publication-title: Physica, D
– volume: 306
  start-page: 1
  year: 1998
  ident: BIB8
  publication-title: Phys. Rep.
– volume: 58
  start-page: 1601
  year: 1998
  ident: BIB1
  publication-title: Phys. Rev., E
– year: 1998
  ident: 10.1016/j.msec.2003.09.135_BIB5
– volume: 7
  start-page: 240
  year: 1983
  ident: 10.1016/j.msec.2003.09.135_BIB6
  publication-title: Physica, D
  doi: 10.1016/0167-2789(83)90129-X
– volume: 63
  start-page: 17203
  year: 2001
  ident: 10.1016/j.msec.2003.09.135_BIB9
  publication-title: Phys. Rev., E
  doi: 10.1103/PhysRevE.63.017203
– volume: 58
  start-page: 1601
  year: 1998
  ident: 10.1016/j.msec.2003.09.135_BIB1
  publication-title: Phys. Rev., E
  doi: 10.1103/PhysRevE.58.1601
– volume: 8
  start-page: 381
  year: 1983
  ident: 10.1016/j.msec.2003.09.135_BIB7
  publication-title: Physica, D
  doi: 10.1016/0167-2789(83)90233-6
– volume: 78
  start-page: 1295
  year: 1997
  ident: 10.1016/j.msec.2003.09.135_BIB3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.78.1295
– volume: 142
  start-page: 306
  year: 2000
  ident: 10.1016/j.msec.2003.09.135_BIB11
  publication-title: Physica, D
  doi: 10.1016/S0167-2789(00)00065-8
– volume: 79
  start-page: 3692
  year: 1997
  ident: 10.1016/j.msec.2003.09.135_BIB4
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.79.3692
– volume: 67
  start-page: 16605
  year: 2003
  ident: 10.1016/j.msec.2003.09.135_BIB10
  publication-title: Phys. Rev., E
  doi: 10.1103/PhysRevE.67.016605
– volume: 306
  start-page: 1
  year: 1998
  ident: 10.1016/j.msec.2003.09.135_BIB8
  publication-title: Phys. Rep.
  doi: 10.1016/S0370-1573(98)00029-5
– volume: 58
  start-page: 1612
  year: 1998
  ident: 10.1016/j.msec.2003.09.135_BIB2
  publication-title: Phys. Rev., E
  doi: 10.1103/PhysRevE.58.1612
SSID ssj0068372
ssj0047218
ssj0001906
Score 1.4030018
Snippet In the context of microscopic solid friction phenomena, we study the underdamped dynamics of a Frenkel–Kontorova (FK) chain subject to an external dc force and...
SourceID crossref
elsevier
SourceType Index Database
Publisher
StartPage 879
SubjectTerms Friction
Models of nonlinear phenomena
Tribology
Title Commensurate sliding on a multiple-well substrate potential
URI https://dx.doi.org/10.1016/j.msec.2003.09.135
Volume 23
WOSCitedRecordID wos000187403500040&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  customDbUrl:
  eissn: 1873-0191
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001906
  issn: 0928-4931
  databaseCode: AIEXJ
  dateStart: 19950701
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELfKxgM8oLGBGAzkB8RLlaqOk9gWTx3aBBOaEIyqb1Hm2tomllRrmMYT__rubMfNNoQACUWyEquOXN8v57vzfRDy2nIhjOWoqaZZkgnDEmmlSoRNs2OrNKtcrcPpR3F4KGcz9Wkw-NnFwlx-E3Utr67U4r-SGvqA2Bg6-xfkji-FDrgHokMLZIf2jwiPIR9YvwJzQAxBinRRK-hzHJ0HE2ewWwLLcKlph4umRZ-h8OKuvFPV-tnGzx9B0ktfuLKvTqsatlrnFjAZxRMcPILfLeYeEgexf_d0edIs_G8_r3pBCwAl29WXGk5HN2wRHP06fDSmN5DdCZLxlkY04KnA7I3ns1KgG5cv1NUxYh94HADX56rS15vpNmhfU-4O7_dmiLPR-dK43JQcE9gynwzlVk7tLzgnnBKwOFTC-D2ynopcAVtcn3zYmx3EzZy5bPj-IQNtOR5RFaDZuyOq7t-FiCzvPHh7Dr-WenqSzNEGeRRUEDrx0HlMBqbeJFuTumqb8x_0DXVOwe60ZZM87BF8i7ztY4sGbNGmphW9gS0asUUjtp6Qr_t7R-_eJ6H6RqJBBGwTlc9Bl01Bw7VcF1ZaprQ9zpmxIHVCM9Y5XPgkhBZ5ZouqkEKqOdM6E4XmT8la3dTmGaEm17JShUotrDpzCZcyuB3DYK4zprfJsFudcuGTrJSd9-FZiWuJ1VJ5OVYlrOU2ybsFLIOY6MW_EpDwm3HP_3HcC_JghfUdstZefDcvyX192Z4uL14FwFwDOMKFng
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Commensurate+sliding+on+a+multiple-well+substrate+potential&rft.jtitle=Materials+Science+%26+Engineering+C&rft.au=Vanossi%2C+A.&rft.au=R%C3%B6der%2C+J.&rft.au=Bishop%2C+A.R.&rft.au=Bortolani%2C+V.&rft.date=2003-12-15&rft.pub=Elsevier+B.V&rft.issn=0928-4931&rft.eissn=1873-0191&rft.volume=23&rft.issue=6&rft.spage=879&rft.epage=884&rft_id=info:doi/10.1016%2Fj.msec.2003.09.135&rft.externalDocID=S0928493103002303
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0928-4931&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0928-4931&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0928-4931&client=summon