DOI: 10.1098/rspa.1969.0174. Stochastic theory of the interaction of ions and quantized vortices in helium II

Stochastic theory of the interaction of ions and quantized vortices in helium II

10.1098/rspa.1969.0174

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (175)

Abstract

The interaction of ions and quantized vortex lines in helium II is treated by imagining that the motion of the superfluid near a vortex line acts on an ion so as to produce a potential well. The ion itself is looked upon as a Brownian particle immersed in a gas of quasi-particles. The capture of ions is pictured as a process of sedimentation into the well. The escape of the ions from the well is treated as a problem of the escape of a Brownian particle over a potential barrier. A solution of the Fokker-Planck equation for a two-dimensional well is given. Comparison of the theory with a variety of experiments is presented.

Bibliography

Stochastic theory of the interaction of ions and quantized vortices in helium II. (1969). Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 312(1511), 519â551.

Authors 0

None

References 31 Referenced 78

10.1103/PhysRevLett.15.238
10.1016/0031-9163(62)90438-9
{'key': 'p_3', 'first-page': '1', 'article-title': 'Rev. M od', 'volume': '15', 'author': 'Chandrasekhar S.', 'year': '1943', 'journal-title': 'Phys.'} / Phys. / Rev. M od by Chandrasekhar S. (1943)
{'key': 'p_4', 'first-page': '39', 'article-title': 'P hys', 'volume': '14', 'year': '1965', 'journal-title': 'Rev. Lett.'} / Rev. Lett. / P hys (1965)
D onnelly R . J. 1967 Experim ental superfluidity. Chicago and London: U niversity o f Chicago Press.
10.1103/PhysRevLett.13.791
{'key': 'p_7', 'first-page': '429', 'article-title': 'P h ys', 'volume': '138', 'author': 'Fetter A. L.', 'year': '1963', 'journal-title': 'Rev.'} / Rev. / P h ys by Fetter A. L. (1963)
Fetter A. L. 1968 Proc. Sum m er In stit. Theor. P h ys. Boulder §4.
Fetter A. L. & D onnelly R. J. 1966 P h ys F Iuids 9 619. (10.1063/1.1761719)
{'key': 'p_10', 'first-page': '858', 'article-title': 'tion', 'volume': '7', 'author': 'Ginzburg Y. L.', 'year': '1958', 'journal-title': 'Soviet Phys. J E T P'} / Soviet Phys. J E T P / tion by Ginzburg Y. L. (1958)
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Grover F. W . 1946 Inductance calculations. N ew York: Van Nostrand Co.
Iordanskil S. V. 1965 J E T P 2 46 7 .) (10.1136/bmj.2.5452.46)
Kramers H . A. 1940 Physica 7 284. J.exp. theor. Phys. (U .S .S .R .) 48 709. (Translation; Soviet Phys. (10.1016/S0031-8914(40)90098-2)
Landau L. D . & Lifshitz E. M. 1959 F Iuid Mechanics. London: Pergamon Press.
10.1103/PhysRevLett.19.560
Modena I. Savoia A. & Scaramuzzi F. 1965 Low temperature physics (ed. J. G. D aunt D . O. Edwards F. J. Milford and M. Yaqub) p. 342. N ew York: Plenum Press.
10.1103/PhysRevLett.16.45
{'key': 'p_21', 'author': 'Rayfield G. W .', 'year': '1964', 'journal-title': 'Phys. Rev. 136, A 1194.'} / Phys. Rev. 136, A 1194. by Rayfield G. W . (1964)
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{'key': 'p_27', 'first-page': '139', 'article-title': 'P hys', 'volume': '155', 'author': 'Springett B. E.', 'year': '1967', 'journal-title': 'Rev.'} / Rev. / P hys by Springett B. E. (1967)
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10.1103/PhysRev.152.121
Thomson W. 1873 P hil. M ag. (4) 45 321. (10.1080/14786447308640865)
W atson G. N . 1962 Theory of Bessel functions (2nd ed.). Cambridge University Press.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 3:15 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 8:59 p.m.)
Indexed	1 year, 6 months ago (Feb. 9, 2024, 9:21 p.m.)
Issued	55 years, 10 months ago (Sept. 30, 1969)
Published	55 years, 10 months ago (Sept. 30, 1969)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	55 years, 10 months ago (Sept. 30, 1969)

Funders 0

None

BibTeX

@article{1969, volume={312}, ISSN={0080-4630}, url={http://dx.doi.org/10.1098/rspa.1969.0174}, DOI={10.1098/rspa.1969.0174}, number={1511}, journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1969}, month=sep, pages={519–551} }

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