Skip to main content
Log in

Analytical Study of Quantum Magnetic and Ion Viscous Effects on p11B Fusion in Plasma Focus Devices

  • Original Research
  • Published:
Journal of Fusion Energy Aims and scope Submit manuscript

Abstract

In this article we studied the feasibility of proton-boron (p11B) fusion in plasmoids produced by plasma pinch devices like plasma focus facility as commercially sources of energy. In plasmoids fusion power for 76 keV < Ti < 1,500 keV exceeds bremsstrahlung loss (W/Pb = 5.39). In such situation gain factor and the ratio of Te to Ti for a typical 150 kJ plasma focus will be 7.8 and 4.8 respectively. Also with considering the ion viscous heating effect W/Pb and Ti/Te will be 2.7 and 6 respectively. Strong magnetic field will reduces ion–electron collision rate due to quantization of electron orbits. While approximately there is no change in electron–ion collision rate, The effect of quantum magnetic field makes ions much hotter than electrons which enhances the fraction of fusion power to bremsstrahlung loss.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. S. Son, Reaction rates and other processes in dense plasma, UMI Number: 3180070, (2005)

  2. E.J. Lerner et al., Theory and Experimental Program for p-B11 Fusion with the Dense Plasma Focus. J. Fusion Energ. 30, 367–376 (2011)

    Article  Google Scholar 

  3. J.R. McNALLY, Simple physical model for the effect of a magnetic field on the coulomb logarithm for test ions slowing down on electrons in a plasma. Nucl. Fusion 15, 344 (1975)

    Article  ADS  Google Scholar 

  4. J.M. Martinez-Val et al., Fusion burning waves in proton-boron- 11 plasmas. Phys. Lett. A 216, 142–152 (1996)

    Article  ADS  Google Scholar 

  5. E.J. Lerner, R.E. Terry, Advances towards PB11 fusion with the dense plasma focus, Current Trends in International Fusion Research. Proceeding of the Sixth Symposium

  6. S. Son, N.J. Fisch, Controlled fusion with hot-ion mode in degenerate plasma. Phys. Lett. A 356, 65–71 (2006)

    Article  ADS  Google Scholar 

  7. R. Thomas et al., Advancements in Dense Plasma Focus (DPF) for Space Propulsion. AIP Conf. Proc. 746, 536–543 (2005). doi:10.1063/1.1867170

    Article  ADS  Google Scholar 

  8. E.J. Lerner, Prospects for PB11 fusion with the dense plasma focus: new results, Current Trends in International Fusion Research—5th Symposium

  9. M.A. Alabraba, et al., Energy Distribution in the Plasma Focus, European J. Sci. Res., ISSN 1450-216X 22(4):553–561, (2008)

    Google Scholar 

  10. R.W. Nelson et al., Nonthermal cyclotron emission from low-luminosity accretion on to magnetic neutron stars. Astrophys. J. 418, 874–893 (1993)

    Article  ADS  Google Scholar 

  11. J.W. Mather in Methods of Experimental Physics, vol. 9B, Plasma Physics, Academic Press, pp. 187–248 (1970)

  12. J.W. Mather, Formation of high-density deuterium plasma focus. Phys. Fluids 8(2), 366–377 (1965)

    Article  ADS  Google Scholar 

  13. H.R. Yousefi, Simulations of effective heating in heavy-ion beam-fusion: high density plasmas in plasma focus devices. Phys. Lett. A 373, 2360–2363 (2009)

    Article  ADS  MATH  Google Scholar 

  14. K. Niu, K. Suqiura, Nuclear fusion (Cambridge University Press, New York, 2009)

    Google Scholar 

  15. M.G. Haines et al., Ion Viscous Heating in a Magnetohydrodynamically Unstable Z Pinch at Over 2 × 109 Kelvin. PRL 96, 075003 (2006)

    Article  ADS  Google Scholar 

  16. J.P. Freidberg, Plasma physics and Fusion energy (Cambridge University press, New York, 2007)

    Book  Google Scholar 

  17. S. Lee, A. Serban, Dimensions and lifetime of the plasma focus. IEEE Transactions on plasma science, 24(3), 1101–1105 (1996)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Habibi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abolhasani, S., Habibi, M. & Amrollahi, R. Analytical Study of Quantum Magnetic and Ion Viscous Effects on p11B Fusion in Plasma Focus Devices. J Fusion Energ 32, 189–195 (2013). https://doi.org/10.1007/s10894-012-9547-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10894-012-9547-z

Keywords

Navigation