Fibonacci oscillators and two-parameter generalized thermostatistics

Algin, Abdullah

doi:10.1016/j.cnsns.2009.05.058

Cited by 15 publications

(13 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to [4,13,[15][16][17][18]25,26], the virial coefficients within the DBGMs studied therein depend only on the deformation parameter(s), which in our interpretation are interrelated with nonideality factors and thus should not depend on the temperature. On the other hand, the virial coefficients for a gas with interaction manifest a temperature dependence [27].…”

Section: Introductionmentioning

confidence: 81%

See 1 more Smart Citation

Virial coefficients in the(μ̃,q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem

Gavrilik

Mishchenko

2014

Phys. Rev. E

View full text Add to dashboard Cite

We establish the relation of the second virial coefficient of a recently proposed (μ[over ̃],q)-deformed Bose gas model [A. M. Gavrilik and Yu. A. Mishchenko, Ukr. J. Phys. 58, 1171 (2013)] to the interaction and compositeness parameters when either of these factors is taken into account separately. When the interaction is dealt with, the deformation parameter becomes linked directly to the scattering length and the effective radius of interaction (in general, to scattering phases). The additionally arising temperature dependence is a feature absent in the deformed Bose gas model within the adopted interpretation of the deformation parameters μ[over ̃] and q. Here the problem of the temperature dependence is analyzed in detail and its possible solution is proposed.

show abstract

Section: Introductionmentioning

confidence: 81%

“…The thermodynamics of the q-DBGMs was studied, e.g., in [16,17]; for the Bose condensation of the deformed gases see [18]. The DBGMs and many-body systems of q bosons were applied to phonon gas in 4 He [10], to excitons in [19], and to a study of pairing correlations in nuclei [20].…”

Section: Introductionmentioning

confidence: 99%

Virial coefficients in the(μ̃,q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem

Gavrilik

Mishchenko

2014

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…3 Similarly to refs. [27,29] and others, we initially take the particle kinetic energy as that of non-relativistic free particle. But, the very particles in the model are not the usual bosons, because of the deformation of thermodynamics that uses µ-calculus.…”

Section: Thermodynamics Of µ-Bose Gas Modelmentioning

confidence: 99%

“…There are diverse deformed Bose gas models, see e.g. [17,18,20,21,22,23,24,25,26,27,28,29]. As usual, the deformations are based on respective deformed oscillator (DO) models such as q-oscillators [30,31] or the 2-parameter p, q-deformed (or Fibonacci) oscillators [32].…”

Section: Introductionmentioning

confidence: 99%

Condensate of μ-Bose gas as a model of dark matter

Gavrilik

Качурик

Khelashvili

et al. 2018

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called µ-Bose gas model (µ-BGM) as a model of dark matter, able to treat weak points. Within µ-BGM, the µ-dependence of thermodynamics arises through the respective µ-calculus (it generalizes usual differential calculus) and enters the partition function, total number of particles, internal energy, etc. We study thermodynamic geometry of the µ-BGM and find singular behavior of (scalar) curvature, confirming Bose-like condensation. The critical temperature of condensation T (µ) c for µ = 0 is higher than the boson T c . We find other important virtues of µ-thermodynamics versus usual bosons and conclude: the condensate of µ-Bose gas can serve as (an effective) model of galactic-halos dark matter.

show abstract

“…This puzzle can be partially solved within a deformation of a usual statistics. Such an approach was made in several previous works, for example, the q-deformations of commutation relations between the creation and annihilation operators [26,27,28,29] are frequently used.…”

Section: Introductionmentioning

confidence: 99%

Modeling free anyons at the bosonic and fermionic ends

Vasiuta

Rovenchak

2018

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

The topology of two-dimensional movement allows for existing of anyons -- particles obeying statistics intermediate between that of bosons and fermions. In this article, the functional form of the occupation numbers of free anyons is suggested as a modification of the Gibbs factor in the Bose and Fermi statistics. The proposed expressions are studied in the bosonic and fermionic limits. The obtained virial coefficients coincide with those of free anyons up to the fourth and fifth virial coefficients (the proposed approach can be extended for higher ones as well) and up to the second order in the anyonic parameter. The effective excitation spectrum corresponding to anyons is calculated.Comment: 17 pages, 6 figure

show abstract

Fibonacci oscillators and two-parameter generalized thermostatistics

Cited by 15 publications

References 37 publications

Virial coefficients in the(μ̃,q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem

Virial coefficients in the(μ̃,q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem

Condensate of μ-Bose gas as a model of dark matter

Modeling free anyons at the bosonic and fermionic ends

Contact Info

Product

Resources

About