NONLINEAR-THEORY OF POWER DISSIPATION DUE TO THE MOTION OF HEAVY INTERSTITIALS IN A FLUCTUATING INHOMOGENEOUS FIELD WITH A STRONG BIAS - SPECIAL REFERENCE TO THE SNOEK-KOSTER RELAXATION

Date

1987-08-01

Author

OGURTANI, TO
SEEGER, AK

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Atomic movements of heavy interstitials (octahedral sites) in an arbitrary time‐dependent and inhomogeneous field with a strong static bias have been described by a system of nonlinear autonomous first‐order differential equations for a body‐centered‐cubic lattice. The linearized form of these equations in the vicinity of the thermodynamic equilibrium state (equilibrium with respect to the strong and inhomogeneous static bias field) has been solved exactly, using the discrete Fourier k‐space transform supplemented by a Laplace transform with respect to time. The power dissipation associated with the hopping motion of interstitial species in the presence of either a simple harmonic vibration or of propagating acoustic waves in the media is also determined. The implications of the nonlinear theory for the effective activation enthalpy of the Snoek–Köster relaxation are also worked out for highly localized or delocalized static interaction fields, respectively. REFERENCES

Subject Keywords

Acoustic Waves , Integral Transforms, Equilibrium , Thermodynamics , Enthalpy , Crystal Structure

URI

https://hdl.handle.net/11511/65496

Journal

JOURNAL OF APPLIED PHYSICS

DOI

https://doi.org/10.1063/1.339689

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Department of Metallurgical and Materials Engineering, Article

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Citation Formats

T. OGURTANI and A. SEEGER, “NONLINEAR-THEORY OF POWER DISSIPATION DUE TO THE MOTION OF HEAVY INTERSTITIALS IN A FLUCTUATING INHOMOGENEOUS FIELD WITH A STRONG BIAS - SPECIAL REFERENCE TO THE SNOEK-KOSTER RELAXATION,” JOURNAL OF APPLIED PHYSICS, pp. 852–861, 1987, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65496.