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

• Authors: E. Alhami , M. Al-Sugheir , H. Ghassib
• Languages of publication: 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

67.80.B-; 67.25.de; 67.10.Ba

Discipline

• 67.10.Ba: Boson degeneracy(for ultracold, trapped gases, see 67.85.-d)
• 67.25.de: Thermodynamic properties
• 67.80.B-: Solid 4He

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 6
• Pages: 1648-1656

Dates

published

2015-06

received

2014-11-20

Contributors

author

E. Alhami

• College of Education - Zulfi, Majmaah University, Saudi Arabia

author

M. Al-Sugheir

• Department of Physics, Faculty of Science, The Hashemite University, Zarqa, Jordan

author

H. Ghassib

• Department of Physics, The University of Jordan, Amman, Jordan

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Identifiers

DOI

10.12693/APhysPolA.127.1648