Thermostatistics of deformed bosons and fermions
arXiv:0912.4596 · doi:10.1007/s10701-009-9363-0
Abstract
Based on the q-deformed oscillator algebra, we study the behavior of the mean occupation number and its analogies with intermediate statistics and we obtain an expression in terms of an infinite continued fraction, thus clarifying successive approximations. In this framework, we study the thermostatistics of q-deformed bosons and fermions and show that thermodynamics can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are replaced by the use of an appropriate Jackson derivative and q-integral. Moreover, we derive the most important thermodynamic functions and we study the q-boson and q-fermion ideal gas in the thermodynamic limit.
14 pages, 2 figures
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Cited by in corpus (14)
- Thermodynamic Geometry of Deformed Bosons and Fermions
- High temperature behavior of a deformed Fermi gas obeying interpolating statistics
- A comparative study on q-deformed fermion oscillators
- Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
- Some Electronic Properties of Metals through q-Deformed Algebras
- Thermal and electrical properties of a solid through Fibonacci oscillators
- Statistical field theories deformed within different calculi
- Fibonacci Oscillators in the Landau Diamagnetism problem
- -Deformed Einstein equations from entropic force
- Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
- Intermediate statistics: addressing the thermoelectric properties of solids
- Hermite polynomials and Fibonacci Oscillators
- Non-Archimedean Quantum Mechanics via Quantum Groups
- Theory of a many-boson system with deformed Heisenberg algebra