Abstract
The thesis is concerned with three complementary problems. The first deals with a new interpretation of the elusive nature of the roton. This is motivated by the observation that the `rotonic` minimum in the dispersion curve, which is intimately related to the principal peak of the static structure factor, is a common feature not only for He II but also for He I and almost all other condensed systems. The second problem concerns the precise asymptotic behaviour of the pair correlation function for liquid sup 4 He, whose Fourier transform is essentially the long-wavelength liquid structure factor. The third problem deals with the implications of this new formulation as related to Bose-Einstein condensation and superfluidity, as well as to other physical properties of the system. The thesis concludes with a partial list of open problems and with two possible extensions, including a complete development of an exceedingly simple method for determining the second virial coefficient of the sup 4 He gas over a wide temperature range. 122 refs., 2 figs., 5 tabs. (A.M.H).
Citation Formats
Khalil, K Y.
The static structure factor of liquid {sup 4}He: some new aspects.
Jordan: N. p.,
1986.
Web.
Khalil, K Y.
The static structure factor of liquid {sup 4}He: some new aspects.
Jordan.
Khalil, K Y.
1986.
"The static structure factor of liquid {sup 4}He: some new aspects."
Jordan.
@misc{etde_10133808,
title = {The static structure factor of liquid {sup 4}He: some new aspects}
author = {Khalil, K Y}
abstractNote = {The thesis is concerned with three complementary problems. The first deals with a new interpretation of the elusive nature of the roton. This is motivated by the observation that the `rotonic` minimum in the dispersion curve, which is intimately related to the principal peak of the static structure factor, is a common feature not only for He II but also for He I and almost all other condensed systems. The second problem concerns the precise asymptotic behaviour of the pair correlation function for liquid sup 4 He, whose Fourier transform is essentially the long-wavelength liquid structure factor. The third problem deals with the implications of this new formulation as related to Bose-Einstein condensation and superfluidity, as well as to other physical properties of the system. The thesis concludes with a partial list of open problems and with two possible extensions, including a complete development of an exceedingly simple method for determining the second virial coefficient of the sup 4 He gas over a wide temperature range. 122 refs., 2 figs., 5 tabs. (A.M.H).}
place = {Jordan}
year = {1986}
month = {Aug}
}
title = {The static structure factor of liquid {sup 4}He: some new aspects}
author = {Khalil, K Y}
abstractNote = {The thesis is concerned with three complementary problems. The first deals with a new interpretation of the elusive nature of the roton. This is motivated by the observation that the `rotonic` minimum in the dispersion curve, which is intimately related to the principal peak of the static structure factor, is a common feature not only for He II but also for He I and almost all other condensed systems. The second problem concerns the precise asymptotic behaviour of the pair correlation function for liquid sup 4 He, whose Fourier transform is essentially the long-wavelength liquid structure factor. The third problem deals with the implications of this new formulation as related to Bose-Einstein condensation and superfluidity, as well as to other physical properties of the system. The thesis concludes with a partial list of open problems and with two possible extensions, including a complete development of an exceedingly simple method for determining the second virial coefficient of the sup 4 He gas over a wide temperature range. 122 refs., 2 figs., 5 tabs. (A.M.H).}
place = {Jordan}
year = {1986}
month = {Aug}
}