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Theory of Thermal Grooving
Abstract
A theory is presented which describes the development of surface grooves at the grain boundaries of a heated polycrystal. The mechanisms of evaporation-condensation and surface diffusion are discussed with the use of the Gibbs-Thompson formula and the assumption that the properties of an interface do not depend on its orientation. For the idealized case in which only one of the mechanisms is operative, the groove profile is shown to have a time-independent shape whose linear dimensions are proportional to t½ for evaporation-condensation, and to t½ for surface diffusion. The proportionality constants are evaluated, and criteria are developed which permit one to estimate which process predominates in practice. Order of magnitude agreement is obtained with estimates of actual grooving speeds and profiles.
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“The decay of the conductance is considered to arise from the surface diffusion of Ag caused by the Gibbs -Thomson effect 41 -45 .”
From Enhanced analog synaptic behavior of SiNx/a-Si bilayer memristors through Ge implantation (2020) · cites this paper as [41]
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Research works printed but not linked: 4
- 1950, Proc. Phys. Soc. B, 63, 350
- 1949, J. Metals, 1, 169
- 1948, Proc. Roy. Soc. (London) A, 193, 465
- 1951, J. Inst. Metals, 79, 415
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Items 1,001–1,002 of 1,002
Theory of Grain Boundary Grooving in the Convective-Diffusive Regime
Ratke, L., & Vogel, H. (1991) · doi:10.1016/0956-7151(91)90291-8 · Cited by 11
Beegum, K. A. B., Sasi, S., Mathew, A., Asha, A. S., & Reshmi, R. (2021) · Physica Scripta · doi:10.1088/1402-4896/abea31 · Cited by 8
Metadata
- Authors
- Mullins, W. W.
- Affiliations
- Westinghouse Electric (United States) (US)
- Corresponding author
- Mullins, W. W.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1957-03-01
- Volume
- 28
- Issue
- 3
- Pages
- 333-339
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2017334281
- Cited by
- 2,629
- References
- 8
- Citations by year
- 2026: 62 · 2025: 72 · 2024: 73 · 2023: 55 · 2022: 63 · 2021: 102 · 2020: 84 · 2019: 68 · 2018: 57 · 2017: 72 · 2016: 71 · 2015: 57 · 2014: 78 · 2013: 74 · 2012: 71
- FWCI
- 11.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Applied Physics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Thin Films
- Physical Sciences › Materials Science › Metals and Alloys › Thermodynamic and Structural Properties of Metals and Alloys
- Physical Sciences › Materials Science › Materials Chemistry › Solidification and crystal growth phenomena
- Keywords
- thermal grooving, grain boundaries, polycrystalline materials, evaporation and condensation, surface diffusion, Gibbs-Thomson equation, groove profile
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