DOI: 10.1063/1.1714360. Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface Diffusion

Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface Diffusion

10.1063/1.1714360

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

The partial differential equation describing morphological changes of a surface of revolution due to capillarity-induced surface diffusion has been derived under the assumption of isotropy of surface tension and surface self-diffusion coefficient. A stable, convergent finite-difference method has been developed for the general case of an arbitrary surface of revolution and solutions have been obtained for the specific problems of the blunting of field-emission tips and the sintering of spheres. Spheroidization of cylindrical rods, as well as field-emission tips with taper below a certain critical value, is predicted; for tapers above the critical value, steady-state shapes are predicted and equations describing the blunting and recession of the tips are presented. If the sintering results for spheres are represented by a plot of log x/a vs log t, it is found that the inverse slope varies from approximately 5.5 to approximately 6.5 for the range 0.05≤x/a≤0.3, in contrast with the constant value of 7 found by Kuczynski from an order-of-magnitude analysis. At higher values of x/a, n increases steadily and without bound.

Bibliography

Nichols, F. A., & Mullins, W. W. (1965). Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface Diffusion. Journal of Applied Physics, 36(6), 1826â1835.

Authors 2

F. A. Nichols (first)
W. W. Mullins (additional)

References 25 Referenced 601

10.1016/S0065-2539(08)61226-3 / Advan. Electron. Electron Phys. (1956)
10.1063/1.1722742 / J. Appl. Phys. (1957)
10.1016/0001-6160(62)90049-4 / Acta Met. (1962)
10.1103/PhysRev.117.1452 / Phys. Rev. (1960)
{'key': '2024020208224617600_r5', 'first-page': '169', 'volume': '185', 'year': '1949', 'journal-title': 'Trans. AIME'} / Trans. AIME (1949)
{'key': '2024020208224617600_r6'}
{'key': '2024020208224617600_r7'}
{'key': '2024020208224617600_r8'}
{'key': '2024020208224617600_r9'}
{'key': '2024020208224617600_r10'}
{'key': '2024020208224617600_r11'}
{'key': '2024020208224617600_r12'}
{'key': '2024020208224617600_r13'}
10.1063/1.1699658 / J. Appl. Phys. (1950)
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10.1002/j.1538-7305.1951.tb03688.x / Bell System Tech. (1951)
{'key': '2024020208224617600_r18', 'first-page': '74', 'volume': '13', 'year': '1961', 'journal-title': 'J. Metal.'} / J. Metal. (1961)
{'key': '2024020208224617600_r19', 'first-page': '20', 'volume': '35', 'year': '1964', 'journal-title': 'J. Appl. Phys.'} / J. Appl. Phys. (1964)
10.1063/1.1734979 / J. Appl. Phys. (1959)
{'key': '2024020208224617600_r21'}
{'key': '2024020208224617600_r22'}
10.1016/0001-6160(59)90069-0 / Acta Met. (1959)
{'key': '2024020208224617600_r24', 'first-page': '589', 'volume': '224', 'year': '1962', 'journal-title': 'Trans. AIME'} / Trans. AIME (1962)
{'key': '2024020208224617600_r25', 'first-page': '1057', 'volume': '9', 'year': '1964', 'journal-title': 'Acta. Met.'} / Acta. Met. (1964)

Dates

Type	When
Created	20 years, 4 months ago (April 22, 2005, 12:39 p.m.)
Deposited	1 year, 6 months ago (Feb. 2, 2024, 4:46 a.m.)
Indexed	3 weeks, 6 days ago (July 27, 2025, 3:48 a.m.)
Issued	60 years, 2 months ago (June 1, 1965)
Published	60 years, 2 months ago (June 1, 1965)
Published Print	60 years, 2 months ago (June 1, 1965)

Funders 0

None

BibTeX

@article{Nichols_1965, title={Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface Diffusion}, volume={36}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.1714360}, DOI={10.1063/1.1714360}, number={6}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Nichols, F. A. and Mullins, W. W.}, year={1965}, month=jun, pages={1826–1835} }

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