Long-lived complexes and chaos in ultracold molecular collisions

@article{Croft2014LonglivedCA,
  title={Long-lived complexes and chaos in ultracold molecular collisions},
  author={James F E Croft and John L. Bohn},
  journal={Physical Review A},
  year={2014},
  volume={89},
  pages={012714}
}
Estimates for the lifetime of collision complexes formed during ultracold molecular collisions based on density-of-states arguments are shown to be consistent with similar estimate based on classical trajectory calculations. In the classical version, these collisions are shown to exhibit chaos, and their fractal dimensions are calculated versus collision energy. From these results, a picture emerges that ultracold collisions are classically ergodic, justifying the density-of-states estimates… 

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References

SHOWING 1-10 OF 42 REFERENCES

Chaos in dynamical systems

Preface 1. Introduction and overview 2. One-dimensional maps 3. Strange attractors and fractal dimensions 4. Dynamical properties of chaotic systems 5. Nonattracting chaotic sets 6. Quasiperiodicity

Phys

  • Rev. A 85, 062712
  • 2012

Phys

  • Rev. A 87, 012709
  • 2013

Chaos in dynamical systems (Cambridge

  • 2002

Phys

  • Rev. E 79, 026215
  • 2009

New J

  • Phys. 11, 055049
  • 2009

Phys

  • Rev. A 82, 010502
  • 2010

Science 156

  • 636
  • 1967

Phys

  • 20, 352
  • 1952

Phys

  • Rev. 118, 349
  • 1960