Exact solution of the one-dimensional deterministic fixed-energy sandpile.

@article{DallAsta2006ExactSO,
  title={Exact solution of the one-dimensional deterministic fixed-energy sandpile.},
  author={Luca Dall'Asta},
  journal={Physical review letters},
  year={2006},
  volume={96 5},
  pages={058003}
}
By reason of the strongly nonergodic dynamical behavior, universality properties of deterministic fixed-energy sandpiles are still an open and debated issue. We investigate the one-dimensional model, whose microscopical dynamics can be solved exactly, and provide a deeper understanding of the origin of the nonergodicity. By means of exact arguments, we prove the occurrence of orbits of well-defined periods and their dependence on the conserved energy density. Further statistical estimates of… CONTINUE READING