Analysis and mathematical simulation of motion of dislocations in aluminum single crystals

The motion of Frenkel-Kontorova dislocation in aluminum monocrystals is studied at low temperatures. With use of the sine-Gordon equation the mathematical simulation of comparative motion of dislocations is performed both with the Peierls barrier and without it. It is shown that if this barrier in aluminum is taken into account, the dislocation is moving along the direction glide by way of quantum tunneling of kink. The quantitative estimation of the possibility of such effect is done.