## 3 Citations

### On Quantum Superstatistics and the Critical Behavior of Nonextensive Ideal Bose Gases

- PhysicsEntropy
- 2018

The most important consequence of the generalized Bose gas is that the critical temperature predicted for the condensation changes in comparison with the usual quantum BoseGas, which is close to those of non-extensive statistical mechanics for q∼1, but they differ and cannot be matched for any q.

### Generalized Fokker-Planck equations derived from nonextensive entropies asymptotically equivalent to Boltzmann-Gibbs.

- PhysicsPhysical review. E
- 2020

This work derives generalized Fokker-Planck equations (FPEs) based on two nonextensive entropy measures S_{±} that depend exclusively on the probability and finds that there are models regarding biological sciences, for the study of congregation and aggregation behavior, the structure of which coincides with the one of the models derived.

### Condensation of nonextensive ideal Bose gas and critical exponents

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2019

## References

SHOWING 1-10 OF 23 REFERENCES

### Perturbative thermodynamic geometry of nonextensive ideal classical, Bose, and Fermi gases.

- PhysicsPhysical review. E
- 2016

It is argued that the nonextensive parameter induces an attractive (repulsive) statistical interaction for zz^{*}, where the sign of thermodynamic curvature is changed for an ideal classical gas.

### Riemannian geometry in thermodynamic fluctuation theory

- Physics
- 1995

Although thermodynamic fluctuation theory originated from statistical mechanics, it may be put on a completely thermodynamic basis, in no essential need of any microscopic foundation. This review…

### Thermodynamic curvature and ensemble nonequivalence

- Computer Science
- 2014

This work is able to prove on a general footing a conjecture first formulated by Liu, L\"u, Luo, and Shao stating that different Hessian metrics can correspond to different behaviors in the various ensembles.

### Thermodynamic curvature: pure fluids to black holes

- Physics
- 2012

Thermodynamics unavoidably contains fluctuation theory, expressible in terms of a unique thermodynamic information metric. This metric produces an invariant thermodynamic Riemannian curvature scalar…

### Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relations

- Physics
- 1975

It is shown that the classical Gibbs–Duhem relation can be regarded, in the abstract metric framework proposed recently, as expressing the obvious geometric impossibility of finding r + 1 linearly…

### Metric geometry of equilibrium thermodynamics

- Physics
- 1975

It is shown that the principal empirical laws of equilibrium thermodynamics can be brought into correspondence with the mathematical axioms of an abstract metric space. This formal correspondence…

### Superstatistics and Gravitation

- PhysicsEntropy
- 2010

A generalized Newton’s law of gravitation is then obtained following the entropic force formulation and some of the difficulties to try to get an associated theory of gravity are discussed.

### Possible generalization of Boltzmann-Gibbs statistics

- Physics
- 1988

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the…

### Generalized Entanglement Entropy and Holography

- Physics
- 2015

A nonextensive statistical mechanics entropy that depends only on the probability distribution is proposed in the framework of superstatistics. It is based on a Γ(χ2) distribution that depends on β…