Thermostatistics of q-deformed boson gas

Abstract

We show that a natural realization of the thermostatistics of q-bosons can be built on the formalism of q-calculus and that the entire structure of thermodynamics is preserved if we use an appropriate Jackson derivative in place of the ordinary thermodynamics derivative. This framework allows us to obtain a generalized q-boson entropy which depends on the q-basic number. We study the ideal q-boson gas in the thermodynamic limit which is shown to exhibit Bose-Einstein condensation with higher critical temperature and discontinuous specific heat.

19 pages, 5 figures. To appear in Phys. Rev. E

References in corpus (1)

• Thermodynamics of boson and fermion systems with fractal distribution functions

Cited by in corpus (43)

• Generalized thermodynamics of q-deformed bosons and fermions
• Multi Parametric Deformed Heisenberg Algebras: A Route to Complexity
• The imprints of nonextensive statistical mechanics in high energy collisions
• Thermodynamic Geometry of Deformed Bosons and Fermions
• Basic-deformed thermostatistics
• High temperature behavior of a deformed Fermi gas obeying interpolating statistics
• Thermostatistics of deformed bosons and fermions
• Classical and quantum q-deformed physical systems
• Intermediate statistics as a consequence of deformed algebra
• Basic-deformed quantum mechanics
• Deformed quantum mechanics and q-Hermitian operators
• q-deformed structures and generalized thermodynamics
• Thermal properties of a solid through q-deformed algebra
• q-Deformed Landau diamagnetism problem embedded in D-dimensions
• Interacting particles system revisited in the framework of the q-deformed algebra
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Heisenberg-type structures of one-dimensional quantum Hamiltonians
• Bose-Einstein Condensation in the Framework of $\kappa$-Statistics
• Some Electronic Properties of Metals through q-Deformed Algebras
• Thermal and electrical properties of a solid through Fibonacci oscillators
• Deformed quantum statistics in two-dimensions
• $q$-Deformed Einstein equations from entropic force
• Fibonacci Oscillators in the Landau Diamagnetism problem
• Virial coefficients in $(\tilde{\mu },q)$-Bose gas model related to compositeness of particles and their interaction: temperature-dependence problem
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• Bose Einstein condensation in a gas of the Fibonacci oscillators
• Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
• Thermoelectric Properties of BiSbTe Alloy Nanofilms Produced by DC Sputtering: Experiments and Modeling
• Non-extensive entropy of bosonic Fibonacci oscillators
• $q$-deformed Fermion in Many-Particle Systems and Its Application to BCS Theory
• Friedmann equations for deformed entropic gravity
• Entanglement and statistics in Hong-Ou-Mandel interferometry
• Thermostatistics of a q-deformed Relativistic Ideal Fermi Gas
• Intermediate statistics: addressing the thermoelectric properties of solids
• Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model
• Self-similarity degree of deformed statistical ensembles
• Coupling q-deformed dark energy to dark matter
• Finite Temperature Behaviors of q-deformed Fermi Gases
• q-Legendre Transformation: Partition Functions and Quantization of the Boltzmann Constant
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Interacting dark matter and q-deformed dark energy non-minimally coupled to gravity
• Permutation Phase and Gentile Statistics
• Total positivity and accurate computations related to $q$-Abel polynomials