Breaking a one-dimensional chain: Fracture in 1+1 dimensions

  title={Breaking a one-dimensional chain: Fracture in 1+1 dimensions},
  author={Eugene B. Kolomeisky and Joseph P Straley},
  journal={Physical Review B},
The breaking rate of an atomic chain stretched at zero temperature by a constant force can be calculated in a quasiclassical approximation by finding the localized solutions (``bounces'') of the equations of classical dynamics in imaginary time. We show that this theory is related to the critical cracks of stressed solids, because the world lines of the atoms in the chain form a two-dimensional crystal and the bounce is a crack configuration in (unstable) mechanical equilibrium. Thus the… 
3 Citations
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