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...
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| Vydané v: | Materials Science & Engineering C Ročník 23; číslo 6; s. 879 - 884 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
15.12.2003
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| ISSN: | 0928-4931, 1873-0191 |
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| 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. |
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| 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 |
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| 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 |
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| Keywords | Friction Models of nonlinear phenomena Tribology |
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| 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 |
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underdamped dynamics of a Frenkel–Kontorova (FK) chain subject to an external dc force and... |
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| Title | Commensurate sliding on a multiple-well substrate potential |
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