Dislocations (Solitons) in anharmonic crystals

Static dislocations (solitons) in an anharmonic lattice are studied within the framework of the Frenkel-Kontorova model. The dislocation-induced fields corresponding to the displacement vector and the stress tensor are calculated, and their properties are analyzed. The process of soliton nucleation is discussed in terms of the kinetics of the excited phonon subsystem of a loaded crystal. The expressions describing the nucleation time and the force and the energy conditions of a dislocation (soliton) nucleation are derived.