The generalized-kinetics-based equilibrium distribution function for composite particles

Comptes Rendus - Mecanique

Volumn 331, Issue 7, 2003, Pages 461-467

  Bellomo, Nicola ^a   Calander, Nils ^b   Mamontov, Eugen ^b   Willander, Magnus ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

Boson; Composite particle; Composon; Distribution function; Fermion; Fluid mechanics, quantum mechanics; Generalized kinetics; Isakov's coefficient; Q commutation relation; Quon

Indexed keywords

COMPOSITE;

COMPOSITE MATERIAL; ELECTROCHEMISTRY; ELEMENTARY PARTICLE; ENERGY; EQUILIBRIUM CONSTANT; HIGH TEMPERATURE; LIQUID; MATHEMATICAL MODEL; PARTICULATE MATTER; QUANTUM MECHANICS; REVIEW; TECHNIQUE; TRANSPORT KINETICS;

EID: 0043173622     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(03)00111-6     Document Type: Article

References (27)

1. E.M. Lifshitz, L.P. Pitaevskii, Statistical Physics, Part 1, Pergamon Press, Oxford, 1980.
2. O. Nairz, M. Arndt, A. Zeilinger, Experimental verification of the Heisenberg uncertainty principle for fullerence molecules, Phys. Rev. A 65 (2002) 032109/1-032109/4.
3. H.A. Bethe, R. Jackiw, Intermediate Quantum Mechanics, Benjamin-Cummings, Menlo Park, 1986.
4. P. Ehrenfest, J.R. Oppenheimer, Notes on the statistics of nuclei, Phys. Rev. 37 (4) (1931) 333-338.
5. S.B. Isakov, Generalization of quantum statistics in statistical mechanics, Int. J. Theor. Phys. 32 (5) (1993) 737-767.
6. N. Bellomo, M. Lo Schiavo, Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models, World Scientific, Singapore, 2000.
7. L. Arlotti, N. Bellomo, E. De Angelis, Generalized kinetic (Boltzmann) models: Mathematical structures and applications, Math. Models Methods Appl. Sci. 12 (4) (2002) 567-591.
8. N. Bellomo, E. Mamontov, M. Willander, On the generalized kinetic modelling of a multicomponent "real-life" fluid by means of a single distribution function, Math. Comput. Modelling (2003) 21 pp., accepted.
9. I. Bialynicki-Birula, M. Cieplak, J. Kaminski, Theory of Quanta, Oxford University Press, New York-Oxford, 1992.
10. E. Leader, Spin in Particle Physics, Cambridge University Press, Cambridge, 2001.
11. O.W. Greenberg, Example of infinite statistics, Phys. Rev. Lett. 64 (7) (1990) 705-708.
12. O.W. Greenberg, Particles with small violations of Fermi or Bose statistics, Phys. Rev. D 43 (12) (1991) 4111-4120.
13. F.D.M. Haldane, "Fractional statistics" in arbitrary dimensions: a generalization of the Pauli principle, Phys. Rev. Lett. 67 (8) (1991) 937-940.
14. S.B. Isakov, Generalization of statistics for several species of identical particles, Mod. Phys. Lett. B 8 (5) (1994) 319-327.
15. Y.-S. Wu, Statistical distribution for generalized ideal gas of fractional-statistics particles, Phys. Rev. Lett. 73 (7) (1994) 922-925.
16. 165, Phys. Rev. 136 (5B) (1964) B1285-B1288.
17. J. Eichler, F. Djadali, Measurement of the average circular γ-polarization and determination of spins for compound states formed in thermal neutron capture, Nucl. Phys. A 147 (1) (1970) 150-160.
18. x crystals, Phys. Lett. A 91 (7) (1982) 361-364.
19. L.S. Finn, Gravitational waves from solar oscillations: Proposal for a transition-zone test of general relativity, Class. Quantum Grav. 2 (3) (1985) 381-402.
20. P. George, J. Beetlestone, J.S. Griffith, Ferrihemoprotein hydroxides: a correlation between magnetic and spectroscopic properties, Rev. Mod. Phys. 36 (1) (1964) 441-458.
21. A. Feis, M.P. Marzocchi, M. Paoli, G. Smulevich, Spin state and axial ligand bonding in the hydroxide complexes of metmyoglobin, methemoglobin, and horseradish peroxidase at room and low temperatures, Biochemistry 33 (15) (1994) 4577-4583.
22. 5+ cluster, Chem. Phys. 213 (1-3) (1996) 45-62.
23. B. DeMarco, D.S. Jin, Onset of Fermi degeneracy in a trapped atomic gas, Science 285 (1999) 1703-1706.
24. B. DeMarco, S.B. Papp, D.S. Jin, Pauli blocking of collisions in a quantum degenerate atomic Fermi gas, Phys. Rev. Lett. 86 (24) (2001) 5409-5412.
25. H.B. Dwight, Tables of Integrals and Other Mathematical Data, Macmillan, New York, 1961.
26. J.W. Goodison, D.J. Toms, The canonical partition function for quons, Phys. Lett. A 195 (1) (1994) 38-42.
27. A. Inomata, Quon gas with the boson, fermion, and near-classical limits, Phys. Rev. A 52 (2) (1995) 932-935.