Modified multi-dimensional q-deformed Newton oscillators: Algebra, interpolating statistics and thermodynamics

Chung, Won Sang; Algin, Abdullah

doi:10.1016/j.aop.2019.167911

Cited by 5 publications

(1 citation statement)

References 62 publications

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“…One of the variants of non-standard statistics is the deformation of commutation relations between the creation and annihilation operators [13][14][15][16][17][18][19]. The corresponding quantum algebras are now actively used to analyze complex physical systems [20]. For example, the thermodynamics of Bose systems and the phenomenon of the Bose condensation were studied with their help in works [21,22].…”

Section: Introductionmentioning

confidence: 99%

Ideal Bose Gas in Some Deformed Types of Thermodynamics. Correspondence between Deformation Parameters

Chubai

Rovenchak

2020

Ukr. J. Phys.

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Two approaches to the construction of thermodynamics in the framework of the q- and м-formalisms, which correspond to certain deformations of the algebra of the creation–annihilation operators, have been considered. By comparing the obtained results, an approximate, independent of the space dimension, correspondence was revealed between the second virial coefficients for the ideal q- and м-deformed Bose gases. The corresponding discrepancy arises only at the level of the third virial coefficient. A method for emulating the м-deformed Bose gas up to the third virial coefficient inclusive by means of the two-parametric nonadditive Polychronakos statistics is demonstrated.

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Section: Introductionmentioning

confidence: 99%

Ideal Bose Gas in Some Deformed Types of Thermodynamics. Correspondence between Deformation Parameters

Chubai

Rovenchak

2020

Ukr. J. Phys.

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On the Deformed Oscillator and the Deformed Derivative Associated with the Tsallis q-exponential

Jagannathan

Khan

2020

Int J Theor Phys

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Effective modeling of physical systems with fractional statistics

Sobko

Rovenchak

2022

Low Temperature Physics

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We consider two examples of real physical systems approximately described using fractional nonadditive Polychronakos statistics. The values of two statistics parameters are linked to properties of modeled systems using virial expansion. For a two-dimensional Fermi gas with contact interactions, accuracy up to the third virial coefficient is achieved. An approach to model the second virial coefficient of non-Abelian soft-core anyons is analyzed in detail.

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Modified multi-dimensional q-deformed Newton oscillators: Algebra, interpolating statistics and thermodynamics

Cited by 5 publications

References 62 publications

Ideal Bose Gas in Some Deformed Types of Thermodynamics. Correspondence between Deformation Parameters

Ideal Bose Gas in Some Deformed Types of Thermodynamics. Correspondence between Deformation Parameters

On the Deformed Oscillator and the Deformed Derivative Associated with the Tsallis q-exponential

Effective modeling of physical systems with fractional statistics

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