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2015 | 127 | 6 | 1648-1656
Article title

A Microscopic Study of One-Dimensional Solid ^4He Using the Static Fluctuation Approximation

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EN
Abstracts
EN
In this work, solid helium is studied within the framework of the static fluctuation approximation. The closed set of nonlinear coupled equations, which is an inherent feature of this approximation, is derived for one-dimensional solid ^{4}He. This set is solved numerically by an iteration method for a realistic interhelium potential. The central aim is to determine the chemical potential μ , condensate fraction N_{0}/N, total energy U, heat capacity C, and entropy S of the system. The effects of temperature T, total number of particles N, frequency ω and lattice constant R on these properties are emphasized and explained. Below 80 mK: (1) as N or ω increases, μ increases; (2) as N increases, U, C, and S increase; whereas N_{0}/N, U/N, C/Nk_{B} and S/Nk_{B} decrease (k_{B} being Boltzmann's constant); (3) as ω increases, N_{0}/N, U, C, and S increase; whereas U/N, C/Nk_{B} and S/Nk_{B} are hardly affected; and (4) as T → 0, the effect of R on N_{0}/N increases. These results are presented in a set of figures.
Keywords
EN
Publisher

Year
Volume
127
Issue
6
Pages
1648-1656
Physical description
Dates
published
2015-06
received
2014-11-20
Contributors
author
  • College of Education - Zulfi, Majmaah University, Saudi Arabia
author
  • Department of Physics, Faculty of Science, The Hashemite University, Zarqa, Jordan
author
  • Department of Physics, The University of Jordan, Amman, Jordan
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv127n615kz
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