Nonperturbative Thermodynamic Geometry of Anyon Gas
arXiv:0907.3899 · doi:10.1103/PhysRevE.80.011132
Abstract
Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H. Mohammadzadeh, Phys. Rev. E {\bf 78,} 021127 (2008)], we will derive nonperturbative thermodynamic curvature of a two-dimensional ideal anyon gas. At different values of the thermodynamic parameter space, some unique and interesting behaviors of the anyon gas are explored. A complete picture of attractive and repulsive phases of the anyon gas is given.
arXiv comment20 pages
References in corpus (17)
- Thermodynamic curvature and phase transitions in Kerr-Newman black holes
- Geometry of black hole thermodynamics
- Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
- Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
- Ruppeiner Geometry of RN Black Holes: Flat or Curved?
- Unified geometric description of black hole thermodynamics
- Information Geometry and Phase Transitions
- Information geometry in vapour-liquid equilibrium
- Haldane exclusion statistics and second virial coefficient
- Ruppeiner Geometry of Anyon Gas
- Boson-Fermion Transmutation and the Statistics of Anyons
- Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics
- Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities
- Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension"
- Specific heat of the ideal gas obeying the generalized exclusion statistics
- Correlators and fractional statistics in the quantum Hall bulk
- Statistical Interparticle Potential between Two Anyons
Cited by in corpus (33)
- Thermodynamic curvature measures interactions
- Thermodynamic curvature and black holes
- Microstructure and continuous phase transition of RN-AdS black hole
- On thermal molecular potential among micromolecules in charged AdS black holes
- Thermodynamic Geometry of Deformed Bosons and Fermions
- Thermodynamic Geometry of Fractional Statistics
- Microscopic Origin of Black Hole Reentrant Phase Transitions
- Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
- Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity
- Continuous phase transition and microstructure of charged AdS black hole with quintessence
- Universality class of alternative phase space and Van der Waals criticality
- Geometro-thermodynamics of tidal charged black holes
- Condensation of an ideal gas obeying non-Abelian statistic
- Information geometry for Fermi-Dirac and Bose-Einstein quantum statistics
- Perturbative Thermodynamic Geometry of Nonextensive Ideal Classical, Bose and Fermi Gases
- Phase transition and thermodynamic stability in extended phase space and charged Hořava-Lifshitz black holes
- Thermodynamic Geometric Stability of Quarkonia states
- Stability and anyonic behavior of systems with M-statistics
- Thermodynamic curvature of the Schwarzschild-AdS black hole and Bose condensation
- Scalar curvature of systems with fractal distribution functions
- Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
- Geometry of Quantum Group invariant systems
- Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
- Fluctuations and thermodynamic geometry of the chiral phase transition
- Thermodynamic geometry of pure Lovelock black holes
- Phase transition of non-linear charged Anti-de Sitter black holes
- Thermodynamic Geometry of the Quark-Meson Model
- Microstructure of Charged AdS Black Hole with Minimal Length Effects
- Intrinsic Attractive and Repulsive Interactions: From Classical to Quantum Gases in the Generalized Maxwell-Boltzmann Distribution
- From Fractional Exclusion Statistics Back to Bose and Fermi Distributions
- Mittag-Leffler Quantum Statistics and Thermodynamic Anomalies
- Interacting systems with zero thermodynamic curvature
- Nonperturbative thermodynamic extrinsic curvature of the anyon gas