The collective motion of interacting parallel straight edge dislocation was investigated. It was shown that the equation of motion of such a system could be cast into a canonical form. This led to a global condition which could be used to check whether the time step was sufficiently small during numerical integration of the equations of motion of the dislocations.

Derivation of the Equations of Motion of Interacting Parallel Edge Dislocations from a Hamiltonian. I.Groma: Physical Review B, 1995, 52[13], 9125-8