# Virial coefficients in the (μ[over ̃],q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem.

@article{Gavrilik2014VirialCI, title={Virial coefficients in the ($\mu$[over ̃],q)-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem.}, author={Alexandre M. Gavrilik and Yuriy Mishchenko}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={90 5-1}, pages={ 052147 } }

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…

## 9 Citations

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

- Physics
- 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…

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

- Mathematics, PhysicsAnnals of Physics
- 2019

### Anyonic behavior of an intermediate-statistics fermion gas model.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

The results reveal that the present deformed (quasi)fermion model could be very efficient and effective in accounting for the nonlinear behaviors in interacting composite particle systems.

### Bose-Einstein condensate dark matter model with three-particle interaction and two-phase structure

- Physics
- 2020

We explore the consequences of including the repulsive three-particle interaction in the model of Bose-Einstein condensate dark matter model or fuzzy dark matter. Such a model based on properly…

### Statistics effects in extremal black holes ensemble

- Physics
- 2019

We consider a grand canonical ensemble of the static and extremal black holes, when an equivalence of electric charge and mass of individual black hole is assumed. Assuming a homogeneous distribution…

### Thermostatistics of bosonic and fermionic Fibonacci oscillators

- Physics
- 2017

In this work, we first introduce some new properties concerning the Fibonacci calculus. We then discuss the thermostatistics of gas models of two-parameter deformed oscillators, called bosonic and…

### Two-particle system in noncommutative space with preserved rotational symmetry

- Physics, Mathematics
- 2016

We consider a system of two particles in noncommutative space which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion…

## References

SHOWING 1-10 OF 20 REFERENCES

### Practical Quantum Mechanics

- Physics
- 1971

Part I: One-Body Problems without Spin. One-Dimensional Problems. Problems of Two or Three Degrees of Freedom without Spherical Symmetry. The Angular Momentum. Potentials of Spherical Symmetry. The…

### and Yu

- A. Mishchenko, J. Phys. A: Math. Theor. 44, 475303
- 2011

### Phys

- Rev. E 50, 4528 (1994); M. R. Ubriaco, Phys. Rev. E 57, 179
- 1998

### A: Math

- Gen. 22, 4581
- 1989

### A: Math

- Gen. 22, L873
- 1989

### Phys

- Lett. A 173, 17
- 1993

### Nucl

- Phys. B 402, 195
- 1993

### Phys

- Rev. Lett. 76, 1098
- 1996

### A: Math

- Gen. 26, 4017
- 1993