Thermostatistics of Deformed Bosons and Fermions

Lavagno, Andrea; Swamy, P. Narayana

doi:10.1007/s10701-009-9363-0

Cited by 50 publications

(41 citation statements)

References 86 publications

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“…Similar Hamiltonians were also considered by several other authors [30][31][32][33][34][35][36][37][38][39][40][41][67][68][69][70][71][72][73]75,76]. We should concisely point out that the form in Eq.…”

Section: High Temperature Thermostatistics Of the Vpjc-oscillatorssupporting

confidence: 58%

“…(20). Moreover, these functions are different from the functions of [68][69][70]. In order to compare the behaviors of the q-deformed functions and the standard functions , in Figs.…”

Section: High Temperature Thermostatistics Of the Vpjc-oscillatorsmentioning

confidence: 99%

“…However, it is impossible to obtain a similar behavior either in the one-parameter deformed -fermion gas model [63] or in the undeformed fermion gas. Moreover, thermodynamical and statistical consequences of the one-parameter deformed bosonic and fermionic oscillator algebras without quantum group symmetries have been recently studied by Lavagno and Narayana Swamy [67][68][69][70]. In these works, they have shown that the thermostatistics of one-dimensional q-deformed bosonic and fermionic oscillators can be built on the formalism of q-calculus.…”

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confidence: 99%

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High-temperature behavior of a deformed Fermi gas obeying interpolating statistics

Algin

Şenay

2012

Phys. Rev. E

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An outstanding idea originally introduced by Greenberg is to investigate whether there is equivalence between intermediate statistics, which may be different from anyonic statistics, and q-deformed particle algebra. Also, a model to be studied for addressing such an idea could possibly provide us some new consequences about the interactions of particles as well as their internal structures. Motivated mainly by this idea, in this work, we consider a q-deformed Fermi gas model whose statistical properties enable us to effectively study interpolating statistics. Starting with a generalized Fermi-Dirac distribution function, we derive several thermostatistical functions of a gas of these deformed fermions in the thermodynamical limit. We study the high-temperature behavior of the system by analyzing the effects of q deformation on the most important thermostatistical characteristics of the system such as the entropy, specific heat, and equation of state. It is shown that such a deformed fermion model in two and three spatial dimensions exhibits the interpolating statistics in a specific interval of the model deformation parameter 0 < q < 1. In particular, for two and three spatial dimensions, it is found from the behavior of the third virial coefficient of the model that the deformation parameter q interpolates completely between attractive and repulsive systems, including the free boson and fermion cases. From the results obtained in this work, we conclude that such a model could provide much physical insight into some interacting theories of fermions, and could be useful to further study the particle systems with intermediate statistics.

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Section: High Temperature Thermostatistics Of the Vpjc-oscillatorssupporting

confidence: 58%

“…(20). Moreover, these functions are different from the functions of [68][69][70]. In order to compare the behaviors of the q-deformed functions and the standard functions , in Figs.…”

Section: High Temperature Thermostatistics Of the Vpjc-oscillatorsmentioning

confidence: 99%

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confidence: 99%

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High-temperature behavior of a deformed Fermi gas obeying interpolating statistics

Algin

Şenay

2012

Phys. Rev. E

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“…Whenever the above stability conditions are not respected, the system becomes unstable and the phase transition takes place [20,21]. The coexistence line of a system with one conserved charge becomes in this case a two dimensional surface in (T, P, y) space, enclosing the region where mechanical and diffusive instabilities occur.…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

Lavagno

2018

EPJ Web Conf.

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Abstract. We study the presence of thermodynamic instabilities in a nuclear medium at finite temperature and density where nuclear phase transitions can take place. Such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the electric charge concentration). Similarly to the liquid-gas phase transition, the nucleonic and the ∆-matter phase have a different isospin density in the mixed phase. In the liquid-gas phase transition, the process of producing a larger neutron excess in the gas phase is referred to as isospin fractionation. A similar effects can occur in the nucleon-∆ matter phase transition due essentially to a ∆ − excess in the ∆-matter phase in asymmetric nuclear matter. In this context we also discuss the relevance of ∆-isobar and hyperon degrees of freedom in the bulk properties of the protoneutron stars at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos.

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“…In paper [37], two-parameter deformed Bose gas model was proposed to find the correlation functions of the particle. In a series of papers, the thermodynamics of ideal Bose and Fermi systems [38][39][40] was studied. In paper [41], the phenomenon of the Bose-Einstein condensation of the relativistic ideal Bose gas with deformed commutation relations for positions and momenta operators is investigated.…”

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confidence: 99%

The theory of a many boson system with the deformed Heisenberg algebra

Vakarchuk¹,

Panochko²

2015

Condens. Matter Phys.

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We propose to consider nonlinear fluctuations in the theory of liquid 4 He deforming the commutation relations between the generalized coordinates and momenta. Generalized coordinates are coefficients of density fluctuations of Bose particles. The deformation parameter takes into account the effects of three-and four-particle correlations in the behavior of a system. This parameter is defined from the experimental values of the elementary excitation spectrum and the structure factor extrapolated to T = 0 K. The numerical estimation of the ground state energy and the Bose condensate fraction is made. The elementary excitation spectrum and the potential of interaction between the helium atoms are recovered.

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Thermostatistics of Deformed Bosons and Fermions

Cited by 50 publications

References 86 publications

High-temperature behavior of a deformed Fermi gas obeying interpolating statistics

High-temperature behavior of a deformed Fermi gas obeying interpolating statistics

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

The theory of a many boson system with the deformed Heisenberg algebra

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