Dynamics of rotator chain with dissipative boundary

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.

Graphical abstract

Keywords

rotator chain / energy conduction

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Higher Education Press and Springer-Verlag Berlin Heidelberg