Condensation of nonextensive ideal Bose gas and critical exponents

Adli, Fereshteh; Mohammadzadeh, Hosein; Najafi, M. N.; Ebadi, Zahra

doi:10.1016/j.physa.2019.01.093

Cited by 15 publications

(9 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…24,28 More details on Tsallis entropy can be found in recent studies. 25,26,29,30 Definition 5. 31 For two density matrices 𝜌 and 𝛿, (I) the Tsallis-Lin quantum relative entropy of 𝜌 to 𝛿 is given by…”

Section: Definitionmentioning

confidence: 99%

Some applications of the Hermite–Hadamard inequality for log‐convex functions in quantum divergences

Hassanzad

Mehri‐Dehnavi

Agahi

2022

Math Methods in App Sciences

View full text Add to dashboard Cite

One of the beautiful and very simple inequalities for a convex function is the Hermite–Hadamard inequality. The concept of log‐convexity is a strong variant of convexity. In this paper, by the Hermite–Hadamard inequality, we introduce two‐parametric Tsallis quantum relative entropy, two‐parametric Tsallis–Lin quantum relative entropy, and two‐parametric quantum Jensen–Shannon divergence in quantum information theory. Then some properties of quantum Tsallis–Jensen–Shannon divergence for two density matrices are investigated by this inequality.

show abstract

Section: Definitionmentioning

confidence: 99%

Some applications of the Hermite–Hadamard inequality for log‐convex functions in quantum divergences

Hassanzad

Mehri‐Dehnavi

Agahi

2022

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…As expected, the case of q = 1 corresponds to E = sN T . Adding more terms in the expansions for the number of particles (23) and energy (24), we can obtain corrections to the classical limits for fugacity, energy, and specific heat.…”

Section: High Temperatures and Classical Limit For The Second Modelmentioning

confidence: 99%

“…Various formulations of nonadditive generalizations are known for quantum Bose-and Fermi-distributions [14][15][16][17][18][19][20][21]. Note that the Bosesystems are studied to a larger extent, perhaps due to the fascinating Bose-condensation phenomenon [22,23]. While the deformations of the Fermi-statistics are often studied alongside the Bose-statistics, in some works deformed fermions are a sole subject of analysis [15,19,24].…”

Section: Introductionmentioning

confidence: 99%

Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

Rovenchak

Sobko

2019

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

We compare two approaches to the generalization of the ordinary Fermi-statistics based on the nonadditive Tsallis q-exponential used in the Gibbs factor instead of the conventional exponential function. Both numerical and analytical calculations are made for the chemical potential, fugacity, energy, and the specific heat of the ideal gas obeying such generalized types of statistics. In the approach based on the Gibbs factor containing the chemical potential, high temperature behavior of the specific heat significantly deviates from the expected classical limit, while at low temperatures it resembles that of the ordinary ideal Fermi-gas. On the contrary, when the fugacity enters as a multiplier at the Gibbs factor, the high-temperature limit reproduces the classical ideal gas correctly. At low temperatures, however, some interesting results are observed, corresponding to non-zero specific heat at the absolute zero temperature or a finite (non-zero) minimal temperature. These results, though exotic from the first glance, might be applicable in effective modeling of physical phenomena in various domains.

show abstract

“…Also, the singular points of thermodynamic curvature can be evidence of the existence of phase transitions. For example, the thermodynamic geometry of ideal gases with particles that obey Bose-Einstein, q-deformed, Polychronakos, and non-extensive are singular at condensation transition point [13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry and complexity of black holes in theories with broken translational invariance

Babaei-Aghbolagh,

Mohammadzadeh,

Yekta

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider D dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with momentum relaxation that have a minimum for temperature and mass. We show that the singular points of the thermodynamic curvature of the black holes, as thermodynamic systems, correspond to the zero points of the action and volume complexity at the Lloyd bound. For such black holes with a single horizon, the complexity of volume and the complexity of action at minimum mass and minimum temperature are zero, respectively. We show that the thermodynamic curvature diverges at these minimal values. Because of the behaviour of action complexity and thermodynamic curvature at minimum temperature, we propose the action complexity as an order parameter of the black holes as thermodynamic systems. Also, we derive the critical exponent related to the thermodynamic curvature in different dimensions.

show abstract

Condensation of nonextensive ideal Bose gas and critical exponents

Cited by 15 publications

References 48 publications

Some applications of the Hermite–Hadamard inequality for log‐convex functions in quantum divergences

Some applications of the Hermite–Hadamard inequality for log‐convex functions in quantum divergences

Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

Thermodynamic geometry and complexity of black holes in theories with broken translational invariance

Contact Info

Product

Resources

About