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Analysis of the Motion of Frenkel-Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier

DOI: 10.4236/oalib.1104390, PP. 1-11

Subject Areas: Mechanics, Modern Physics

Keywords: Aluminum, Frenkel-Kontorova Dislocation, Sine Gordon Equation, Computer Simulation, Dislocation Kinks, Quantum Tunneling

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Abstract

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 dimensionless 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.

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Arakelyan, M. (2018). Analysis of the Motion of Frenkel-Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier. Open Access Library Journal, 5, e4390. doi: http://dx.doi.org/10.4236/oalib.1104390.

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