Hyperbolicity in extended thermodynamics of Fermi and Bose gases

DOI10.1007/s00161-004-0180-6zbMath1114.82018OpenAlexW2053865833MaRDI QIDQ2576534

Yanyan Li

Publication date: 13 December 2005

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-004-0180-6

zbMATH Keywords

hyperbolic systemsdegenerate gasesExtended Thermodynamics

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Foundations of thermodynamics and heat transfer (80A05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of time-dependent statistical mechanics (82C03) First-order hyperbolic systems (35L40)

Related Items (12)

Stability of Flows of Real Monoatomic Gases ⋮ The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars ⋮ Hyperbolicity of a model for polyatomic gases in relativistic extended thermodynamics ⋮ Relativistic extended thermodynamics from the Lagrangian view-point ⋮ On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media ⋮ Quantum maximum entropy principle and quantum statistics in extended thermodynamics ⋮ A rational extended thermodynamics model for metal electrons in bounded domains ⋮ On a model in radiation hydrodynamics ⋮ Mathematical theory of compressible, viscous, and heat conducting fluids ⋮ On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force ⋮ Second-order approximation of extended thermodynamics of a monatomic gas and hyperbolicity region ⋮ New extended thermodynamics balance equations for an electron gas confined in a metallic body

Uses Software

• Fermi-Dirac
• Algorithm 745

Cites Work

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• Papers on probability, statistics and statistical physics. Ed. by R. D. Rosenkrantz
• Galilean invariance and entropy principle for systems of balance laws
• The accurate evaluation of a particular Fermi-Dirac integral
• Moment equations in the kinetic theory of gases and wave velocities
• Domain of definition of Levermore's five-moment system
• Hyperbolicity and wave propagation in extended thermodynamics
• On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Maximisation of the entropy in non-equilibrium
• Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2
• Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
• Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
• The computation of Fermi-Dirac functions
• Fermi-Dirac functions of integral order
• Note on the Bose-Einstein Integral Functions
• Hyperbolic Conservation Laws in Continuum Physics
• Hyperbolicity region in extended thermodynamics with 14 moments

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