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The Dynamics of Dislocation (Kink) in the Frenkel‐Kontorova Model in the Case of a Nonzero Environment Temperature
Author(s) -
Landau A. I.
Publication year - 1995
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221910107
Subject(s) - dislocation , condensed matter physics , dynamics (music) , monotonic function , peierls stress , thermal , physics , mechanics , atmospheric temperature range , molecular dynamics , materials science , classical mechanics , thermodynamics , quantum mechanics , dislocation creep , mathematics , mathematical analysis , acoustics
Computer simulation is used to study the dependence of the velocity of a dislocation (kink) on the applied motive force and temperature in the Frenkel‐Kontorova model (discrete sine‐Gordon system). The applied forces used exceed the Peierls‐Nabarro barrier. Heating of the atomic chain by the environment is simulated by introducing random thermal forces and frictional forces acting on individual atoms of the system into the Frenkel‐Kontorova equations. It is found that though in this model the velocity of a dislocation depends on temperature, this dependence is very weak. In the range of dislocation velocities studied, smaller velocities monotonically rise with growing temperature, while larger velocities depend on temperature nonmonotonically, first decreasing and then increasing with rising temperature.