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

@article{Kolomeisky2000BreakingAO,
  title={Breaking a one-dimensional chain: Fracture in 1+1 dimensions},
  author={Eugene B. Kolomeisky and Joseph P Straley},
  journal={Physical Review B},
  year={2000},
  volume={62},
  pages={301-307}
}
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
Ground-state properties of one-dimensional matter and quantum dissociation of a Luttinger liquid
Motivated by emerging experimental possibilities to confine atoms and molecules in quasi-one-dimensional geometries, we analyze ground-state properties of strictly one-dimensional molecular matter
Cluster structure in light neutron-rich nuclei
Recently, discussions of the well-developed cluster structure are extended to the neutron-rich C isotopes, and the role of valence neutrons which stabilize the linear-chain structure has been pointed

References

SHOWING 1-2 OF 2 REFERENCES
Theory of elasticity
This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an
Quantum Mechanics and Path Integrals