Dynamics of rotator chain with dissipative boundary
We study the deterministic dynamics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical simulation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the sin...
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Published in | Frontiers of physics Vol. 9; no. 4; pp. 511 - 518 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Higher Education Press
01.08.2014
Springer Nature B.V |
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Abstract | We study the deterministic dynamics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical simulation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked variance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited. |
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AbstractList | We study the deternfinistic dynanfics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical sinmlation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked wariance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited. We study the deterministic dynamics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical simulation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked variance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited. |
Author | Ke, Pu Zheng, Zhi-Gang |
AuthorAffiliation | Department of Physics and the Beijing Hong Kong Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China |
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Cites_doi | 10.1103/PhysRevLett.84.2144 10.1103/PhysRevB.16.4945 10.1103/PhysRevE.87.062109 10.1103/PhysRevE.84.061108 10.1103/PhysRevE.85.060102 10.1103/PhysRevLett.52.1861 10.1103/PhysRevLett.84.2381 10.1017/CBO9781139020411 10.1103/PhysRevE.67.041205 10.1016/S0370-1573(02)00558-6 10.1103/PhysRevLett.80.5313 10.1016/S0024-3795(99)00114-7 10.1080/00018730802538522 10.1103/PhysRevLett.78.1896 10.1088/1742-5468/2012/07/P07010 |
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Keywords | rotator chain energy conduction |
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Notes | We study the deternfinistic dynanfics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical sinmlation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked wariance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited. rotator chain, energy conduction 11-5994/O4 rotator chain Document accepted on :2014-05-06 energy conduction Document received on :2014-03-13 |
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References | Nelson, Fisher (CR9) 1977; 16 Yuan, Wang, Ma, Yuan, Ao (CR18) 2013; 87 CR17 Casati, Ford, Vivaldi, Visscher (CR3) 1984; 52 CR13 Gendelman, Savin (CR7) 2000; 84 Kulkarni, Schmidt, Tsui (CR11) 1999; 297 Savin, Gendelman (CR4) 2003; 67 Iacobucci, Legoll, Olla, Stoltz (CR8) 2011; 84 Haile (CR15) 1997 Lepri, Livi, Politi (CR16) 2003; 377 Anteneodo, Tsallis (CR10) 1998; 80 Giardinà, Livi, Politi, Vassalli (CR6) 2000; 84 Strogatz (CR14) 2001 Dhar (CR1) 2008; 57 Horn, Johnson (CR12) 2012 Lepri, Livi, Politi (CR2) 1997; 78 Ma, Tan, Yuan, Yuan, Ao (CR19) 2012 Zhong, Zhang, Wang, Zhao (CR5) 2012; 85 J M Haile (427_CR15) 1997 R Yuan (427_CR18) 2013; 87 Y Zhong (427_CR5) 2012; 85 D R Nelson (427_CR9) 1977; 16 C Giardinà (427_CR6) 2000; 84 D Kulkarni (427_CR11) 1999; 297 C Anteneodo (427_CR10) 1998; 80 Y Ma (427_CR19) 2012 S Lepri (427_CR2) 1997; 78 A Dhar (427_CR1) 2008; 57 O V Gendelman (427_CR7) 2000; 84 S H Strogatz (427_CR14) 2001 R A Horn (427_CR12) 2012 427_CR17 A Iacobucci (427_CR8) 2011; 84 S Lepri (427_CR16) 2003; 377 G Casati (427_CR3) 1984; 52 427_CR13 A V Savin (427_CR4) 2003; 67 |
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Rep. doi: 10.1016/S0370-1573(02)00558-6 contributor: fullname: S Lepri – volume: 80 start-page: 5313 issue: 24 year: 1998 ident: 427_CR10 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.80.5313 contributor: fullname: C Anteneodo – ident: 427_CR17 doi: 10.1088/1742-5468/2012/07/P07010 – volume: 52 start-page: 1861 issue: 21 year: 1984 ident: 427_CR3 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.52.1861 contributor: fullname: G Casati – volume: 297 start-page: 63 issue: 1–3 year: 1999 ident: 427_CR11 publication-title: Linear Algebra Appl. doi: 10.1016/S0024-3795(99)00114-7 contributor: fullname: D Kulkarni – volume: 57 start-page: 457 issue: 5 year: 2008 ident: 427_CR1 publication-title: Adv. Phys. doi: 10.1080/00018730802538522 contributor: fullname: A Dhar |
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SubjectTerms | Astronomy Astrophysics and Cosmology Atomic Condensed Matter Physics energy conduction Molecular Optical and Plasma Physics Particle and Nuclear Physics Physics Physics and Astronomy Research Article Rotation rotator chain Stability analysis 全球范围 同步转动 旋转状态 机械传动 稳定性分析 群同步 耗散边界 链 |
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