The Effect of External Force on Surface Stability by the Self-Consistent Einstein Model | Zendy

Masaru Sugiyama | Zendy; Hiroshi Okamoto | Zendy

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The Effect of External Force on Surface Stability by the Self-Consistent Einstein Model

Author(s) -

Masaru Sugiyama,

Hiroshi Okamoto

Publication year - 1980

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.64.1945

Subject(s) - physics , anharmonicity , instability , einstein , force constant , classical mechanics , lattice vibration , vibration , surface (topology) , square lattice , lattice (music) , condensed matter physics , mechanics , quantum mechanics , ising model , geometry , molecule , phonon , acoustics , mathematics

Effects of an external force on the surface lattice dynamics, such as anharmonic surface vibration, surface relaxation of the lattice constant and thermal stability of the surface, are studied by the use of the one-dimensional self-consistent Einstein model with emphasis on material strength. A new numerical method to solve the basic equations revealed surface instability phenomena. Above a critical temperature determined by the external force, the mean square displacements and the lattice constants satisfying the basic equations are not found. Under a tensile f"Orce, the system is unstable and will fracture when the force is stronger than a critical one which is cosiderably lower than the ideal strength.

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