Classical time crystals.

@article{Shapere2012ClassicalTC,
  title={Classical time crystals.},
  author={Alfred Shapere and Frank Wilczek},
  journal={Physical review letters},
  year={2012},
  volume={109 16},
  pages={
          160402
        }
}
  • A. Shapere, F. Wilczek
  • Published 12 February 2012
  • Materials Science, Physics, Mathematics, Medicine
  • Physical review letters
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… 

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