Classical Time Crystals

Details Classical Time Crystals Classical Time Crystals

2012-02-12

arxiv.org/abs/1202.2537v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 1 figure

Scientific paper

We consider the possibility that classical dynamical systems display motion in their lowest energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves.

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