Computer simulation was used to study the dependence of the velocity of a dislocation (kink), upon applied force and temperature, in the Frenkel-Kontorova model. The applied force which was used exceeded the Peierls-Nabarro barrier. Heating of the atomic chain by the environment was simulated by introducing random thermal forces and frictional forces, that acted on individual atoms of the system, into the Frenkel-Kontorova equations. It was found that the dislocation velocity, according to this model, depended upon the temperature. But this dependence was very weak. Within the range of dislocation velocities which was studied, it was noted that lower velocities increased monotonically with temperature. Higher velocities exhibited a non-monotonic temperature dependence. That is, they first decreased and then increased with increasing temperature.
The Dynamics of a Dislocation (Kink) in the Frenkel-Kontorova Model in the Case of a Non-Zero Environment Temperature. A.I.Landau: Physica Status Solidi B, 1995, 191[1], 67-75