Effect of Bohm potential on a charged gas

• Authors: Domiziano Mostacci , Vincenzo Molinari , Francesco Pizzio
• Languages of publication: EN

Abstracts

EN

Bohm’s interpretation of Quantum Mechanics leads to the derivation of a Quantum Kinetic Equation (QKE): in the present work, propagation of waves in charged quantum gases is investigated starting from this QKE. Dispersion relations are derived for fully and weakly degenerate fermions and bosons (for the latter above critical temperature) and the differences discussed. Use of a kinetic equation permits investigation of “Landau-type” damping: it is found that the presence of damping in fermion gases is dependent upon the degree of degeneracy, whereas it is always present in boson gases. In fully degenerate fermions a phenomenon appears that is akin to the “zero sound” propagation.

Keywords

EN

Bohm potential   quantum kinetic equation   wave propagation in quantum plasmas   dispersion relation   Landau damping  

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 5
• Pages: 709-716

Dates

published

1 - 10 - 2010

online

22 - 7 - 2010

References

• [1] Y. D. Jung, Phys. Plasmas 8, 3842 (2001) http://dx.doi.org/10.1063/1.1386430[Crossref]
• [2] L. Stenflo, P. K. Shukla, M. Marklund, Europhys. Lett. 74, 844 (2006) http://dx.doi.org/10.1209/epl/i2006-10032-x[Crossref]
• [3] F. Haas, G. Manfredi, M. Feix, Phys. Rev. E 62, 2763 (2000)
• [4] D. Anderson, B. Hall, M. Lisak, M. Marklund, Phys. Rev. E 65, 046417 (2002)
• [5] G. Manfredi, F. Haas, Phys. Rev. B 64, 075316 (2001)
• [6] G. Brodin, M. Marklund, Phys. Plasmas, arXiv:0804.0335v1
• [7] D. Mostacci, V. Molinari, F. Pizzio, Europhys. Lett. 82, 20002 (2008) http://dx.doi.org/10.1209/0295-5075/82/20002[Crossref]
• [8] D. Mostacci, V. Molinari, F. Pizzio, Transport. Theor. Stat. 37, 589 (2008) http://dx.doi.org/10.1080/00411450802526269[Crossref]
• [9] L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968) 431
• [10] L. D. Landau, J. Phys.-USSR 10, 25 (1946)
• [11] N. A. Krall, A. W. Trivelpiece, Principles of Plasma Physics (McGraw-Hill, New York, 1973) 375
• [12] V. Molinari, P. Peerani, Nuovo Cimento D 10, 119 (1988) http://dx.doi.org/10.1007/BF02450093[Crossref]
• [13] R. L. Liboff, Kinetic Theory. Classical, Quantum, Relativistic Descriptions (Prentice Hall, Englewood Cliffs, USA, 1990) 363
• [14] E. M. Lifshitz, L. P. Pitaevskii, Physical Kinetics (Pergamon Press, Oxford, UK, 1981) 166
• [15] S. H. Glenzeretal., Phys. Rev. Lett. 98, 065002 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.065002[Crossref]
• [16] Yu. L. Klimontovich, V. P. Silin, Zh. Eks. Teor. Fiz. + 23, 151 (1952)
• [17] E. M. Lifshitz, L. P. Pitaevskii, Statistical Physics, part 2 (Pergamon Press, Oxford, UK, 1980) Chap. 1
• [18] R. P. Feynman, Statistical Mechanics - Frontiers in Physics (W. A. Benjamins INC, Reading, Mass., 1972) 30
• [19] R. K. Pathria, Statistical Mechanics (Pergamon Press, Oxford, UK, 1972)
• [20] T. M. Sanders, Contemp. Phys. 42, 151 (2001) http://dx.doi.org/10.1080/00107510110052250[Crossref]
• [21] J. Steinhauer, R. Ozeri, N. Katz, N. Davidson, Phys. Rev. Lett 88, 120407 (2002) http://dx.doi.org/10.1103/PhysRevLett.88.120407[Crossref]
• [22] M. L. Chiofalo, S. Conti, S. Stringari, M. P. Tosi, J. Phys.-Condens. Mat. 7, L85 (1995) http://dx.doi.org/10.1088/0953-8984/7/7/001[Crossref]

Identifiers

DOI

10.2478/s11534-009-0160-3