%0 Journal Article
%T Analysis of the Motion of Frenkel-Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier
%A Mileta Arakelyan
%J Open Access Library Journal
%V 5
%N 3
%P 1-11
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104390
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">The regularities of the motion of a one-dimensional
Frenkel-Kontorova dislocation in pure aluminum at helium temperatures are
studied. Computer simulation was carried out using the sine Gordon equation,
written in dime</span><span style="line-height:1.5;">nsionless variables. It is proven that when the transition to
dimensionless variables the discreteness of the model is preserved. The dependence
of the true values of stresses on deformation in the Euler variables, as well
as the velocity distribution of the dislocation fragments along the coordinate
for successive instants of time, are obtained. It is shown that under these
conditions dislocation motion is realized by quantum tunneling of the
dislocation bends. The quantum-mechanical estimate confirms the possibility of
quantum tunneling of the kink of dislocations in aluminum at low temperatures.</span>
</div>
%K Aluminum
%K Frenkel-Kontorova Dislocation
%K Sine Gordon Equation
%K Computer Simulation
%K Dislocation Kinks
%K Quantum Tunneling
%U http://www.oalib.com/paper/5293132