helium surface
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Author(s):  
Th. B. Möller ◽  
P. Moroshkin ◽  
K. Kono ◽  
E. Scheer ◽  
P. Leiderer

AbstractWe have studied the spatial distribution of charges trapped at the surface of superfluid helium in the inhomogeneous electric field of a metallic tip close to the liquid surface. The electrostatic pressure of the charges generates a deformation of the liquid surface, leading to a “hillock” (called “Taylor cone”) or “dimple”, depending on whether the tip is placed above or below the surface. We use finite element simulations for calculating the surface profile and the corresponding charge density in the vicinity of the tip. Typical electric fields E are in the range of a few kV/cm, the maximum equilibrium surface deformations have a height on the order of (but somewhat smaller than) the capillary length of liquid 4He (0.5 mm), and the maximum number density of elementary charges in a hillock or dimple, limited by an electrohydrodynamic instability, is some 1013 m−2. These results can be used to determine the charge density at a liquid helium surface from the measured surface profile. They also imply that inhomogeneous electric fields at a bulk helium surface do not allow one to increase the electron density substantially beyond the limit for a homogeneous field, and are therefore not feasible for reaching a density regime where surface state electrons are expected to show deviations from the classical behavior. Some alternative solutions are discussed.



Author(s):  
Zhiwei Wang ◽  
Chunlei Feng ◽  
Liang Gao ◽  
Chen Liu ◽  
Hongbin Ding


2020 ◽  
Vol 101 (24) ◽  
Author(s):  
K. Moskovtsev ◽  
M. I. Dykman
Keyword(s):  


2020 ◽  
Vol 54 (3) ◽  
pp. 164-169
Author(s):  
E. B. Gordon ◽  
A. B. Karabulin ◽  
V. I. Matyushenko ◽  
M. E. Stepanov ◽  
I. I. Khodos


2019 ◽  
Vol 123 (29) ◽  
pp. 17829-17841 ◽  
Author(s):  
Adrian Ruckhofer ◽  
Anton Tamtögl ◽  
Michael Pusterhofer ◽  
Martin Bremholm ◽  
Wolfgang E. Ernst


2019 ◽  
Vol 195 (3-4) ◽  
pp. 307-318
Author(s):  
A. D. Chepelianskii ◽  
Masamitsu Watanabe ◽  
Kimitoshi Kono


2018 ◽  
Vol 121 (23) ◽  
Author(s):  
Ethan I. Kleinbaum ◽  
Stephen A. Lyon


2018 ◽  
Vol 678 ◽  
pp. 25-31 ◽  
Author(s):  
Anton Tamtögl ◽  
Michael Pusterhofer ◽  
Martin Bremholm ◽  
Ellen M.J. Hedegaard ◽  
Bo B. Iversen ◽  
...  


2018 ◽  
Vol 98 (2) ◽  
Author(s):  
Matthew C. Schram ◽  
Eric J. Heller




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