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Al-Sugheir, M. K.; Ghassib, H. B.; Nigmatullin, Raoul R.

doi:10.1023/a:1004143309850

Cited by 36 publications

(39 citation statements)

References 16 publications

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“…The underlying physical meaning is that the quantum-mechanical spectrum of this operator is replaced with a distribution around its mean value [44]. In this work, SFA is used to explore the properties of one-dimensional solid 4 He, with special emphasis on the eects of dimensionality.…”

Section: Torsional-oscillator Measurements Have Indicated Thatmentioning

confidence: 99%

A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation

Alhami¹,

Al-Sugheir²,

Ghassib³

2015

Acta Phys. Pol. A

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In this work, solid helium is studied within the framework of the static uctuation 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 N0/N, total energy U , heat capacity C, and entropy S of the system. The eects 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 N0/N , U/N , C/N kB and S/N kB decrease (kB being Boltzmann's constant); (3) as ω increases, N0/N , U , C, and S increase; whereas U/N , C/N kB and S/N kB are hardly aected; and (4) as T → 0, the eect of R on N0/N increases. These results are presented in a set of gures.

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Section: Torsional-oscillator Measurements Have Indicated Thatmentioning

confidence: 99%

A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation

Alhami¹,

Al-Sugheir²,

Ghassib³

2015

Acta Phys. Pol. A

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“…The basic assumptions in SFA are based on [1]: the square of the local-eld operator uctuation ∆Ê 2 k can be replaced by its mean value ∆Ê…”

Section: Static Uctuation Approximationmentioning

confidence: 99%

“…Most of the many-body approaches are well established at low temperatures or for weakly interacting systems. In this work we shall use the static uctuation approximation (SFA) approach [1] to calculate the condensate fraction and critical temperature for neutral many-bosonic system. The role of the potential parameters, the potential strength of the repulsive part, range of the repulsive interaction, depth of the attractive part, and range of the attractive potential on these quantities are investigated.…”

Section: Introductionmentioning

confidence: 99%

On the Effects of the Interaction Potential Parameters on Bose-Einstein Condensation

et al. 2012

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In this work the eect of the potential parameters on the condensate fraction and the critical temperature of neutral many-bosonic system are investigated. A many-body technique called the static uctuation approximation is used in this study. The interaction potential is modeled by two linear terms. The condensation fraction and critical temperature were found to decrease with increasing the strength or the range of the repulsive part of the potential. On the other hand, the condensation fraction and critical temperature increase with increasing the depth or range of the attractive part of the potential.

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“…The closed set of nonlinear integral equations describing any infinite homogeneous Bose system is [2,3]:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…The validity of the static fluctuation approximation (SFA) [2][3][4] for arbitrary systems (strongly or weakly interacting systems) and at any finite temperature gives us the opportunity to study Bose gases at different potential strengths and ranges. The dynamics of weakly interacting Bose gases is modeled by the mean-field theories [5].…”

Section: Introductionmentioning

confidence: 99%

Bose-Einstein Condensation of Hard Sphere Homogeneous Gas in Static Fluctuation Approximation

Al-Sugheir

Gasymeh²,

Shatnawi³

et al. 2009

Acta Phys. Pol. A

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The condensation fraction, transition temperature, and energy per particle for a hard sphere interacting homogeneous Bose gas using the static fluctuation approximation have been determined. The transition temperature at liquid helium density has been found to be lower than that for the noninteracting gas. Both superfluidity and the Bose-Einstein condensation have been found to occur at the same transition temperature. Our results are consistent with results obtained by other methods.

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Untitled

Cited by 36 publications

References 16 publications

A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation

A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation

On the Effects of the Interaction Potential Parameters on Bose-Einstein Condensation

Bose-Einstein Condensation of Hard Sphere Homogeneous Gas in Static Fluctuation Approximation

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Untitled

Cited by 36 publications

References 16 publications

A Microscopic Study of One-Dimensional Solid4He Using the Static Fluctuation Approximation

A Microscopic Study of One-Dimensional Solid4He Using the Static Fluctuation Approximation

On the Effects of the Interaction Potential Parameters on Bose-Einstein Condensation

Bose-Einstein Condensation of Hard Sphere Homogeneous Gas in Static Fluctuation Approximation

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A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation

A Microscopic Study of One-Dimensional Solid⁴He Using the Static Fluctuation Approximation