# Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model

@article{Algn2017EffectiveAF, title={Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model}, author={Abdullah Algın and Ali Serdar Arikan}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2017}, volume={2017} }

A deformed fermion gas model aimed at taking into account thermal and electronic properties of quasiparticle systems is devised. The model is constructed by the fermionic Fibonacci oscillators whose spectrum is given by a generalized Fibonacci sequence. We first introduce some new properties concerning the Fibonacci calculus. We then investigate the low-temperature thermostatistical properties of the model, and derive many of the deformed thermostatistical functions such as the chemical…

## 12 Citations

### Thermodynamic geometry, condensation and Debye model of two-parameter deformed statistics

- Physics
- 2017

We consider the statistical distribution function of a two parameter deformed system, namely qp-deformed bosons and fermions. Using a thermodynamic geometry approach, we derive the thermodynamic…

### Description of the properties of dark matter by deformed statistics

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We consider the condensate of q-deformed bosons as a model of dark matter. Our observations demonstrate that for all q values, the system condenses below a q-dependent critical temperature Tcq . The…

### Fluctuations of a q-deformed fermion gas

- Physics
- 2018

The theory of q-deformed fermions is one of the theories of q-deformed oscillators. Within the framework of this theory and the traditional fluctuation theory, we investigate fluctuations of…

### Self-localized solitons of a q-deformed quantum system

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2021

### Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases

- Physics
- 2018

In statistical mechanics, for a system with a fixed number of particles, e.g. a finite-size system, strictly speaking, the thermodynamic quantity needs to be calculated in the canonical ensemble.…

### Dynamical Manifestation of Chaotic Behaviour in a q-Tsallis Harmonic Oscillator

- PhysicsInternational Journal of Theoretical Physics
- 2022

Recently, the q-deformed coherent states based on the non-extensive thermodynamics approach have been constructed (Chung et al. 2021 ; Jagannathan and Khan 2020 ; Bendjeffal et al. 2019 ). In this…

### Dynamics of observables in a q-deformed harmonic oscillator

- PhysicsThe European Physical Journal D
- 2020

Chaos in classical systems has been studied in plenty over many years. Although the search for chaos in quantum systems has been an area of prominent research over the last few decades, the detailed…

### Thermoelectric properties of BiSbTe alloy nanofilms produced by DC sputtering: experiments and modeling

- Materials ScienceJournal of Materials Science
- 2019

Thermoelectricity refers to the conversion of thermal energy into electrical energy and vice versa, which relies on three main effects: Seebeck, Peltier and Thomson, all of which are manifestations…

### Quadrature operator eigenstates and energy eigenfunctions of f-deformed oscillators

- PhysicsIndian Journal of Physics
- 2022

This paper obtains the quadrature operator eigenstates and energy eigenfunctions of the prevailing f-deformed oscillators. A definition for quadrature operator for deformed algebra is derived to…

### q-Deformed three-level quantum logic

- PhysicsQuantum Inf. Process.
- 2020

Following Schwinger representation and using q-deformed harmonic oscillators, three-level quantum system (qutrits), as well as one-, two- and three- qutrit q- deformed quantum logic gates are constructed.

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