Skip to main content
Log in

Viscosity: From air to hot nuclei

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

After a brief review of the history of viscosity from classical to quantal fluids, a discussion of how the shear viscosity η of a finite hot nucleus is calculated directly from the width and energy of the giant dipole resonance (GDR) of the nucleus is given in this paper. The ratio η/s with s being the entropy volume density, is extracted from the experimental systematic of GDR in copper, tin and lead isotopes at finite temperature T. These empirical results are compared with the results predicted by several independent models, as well as with almost model-independent estimations. Based on these results, it is concluded that the ratio η/s in medium and heavy nuclei decreases with increasing T to reach \((1.3 - 4) \times \hbar /(4\pi k_{\mathrm {B}})\) at T = 5 MeV, which is almost the same as that obtained for quark-gluon plasma at T > 170 MeV.

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.

Figure 1
Figure 2

Similar content being viewed by others

References

  1. PHENIX Collaboration: K Adcox et al, Nucl. Phys. A 757, 184 (2005) B B Back et al, ibid. 757, 28 (2005) BRAHMS Collaboration: J Arsene et al, ibid. 757, 1 (2005) STAR Collaboration: J Adams et al, ibid. 757, 102 (2005)

  2. ALICE Collaboration: K Arnold et al, Phys. Rev. Lett. 105, 252302 (2010) ATLAS Collaboration: G Aad et al, ibid. 105, 252303 (2010)

  3. P K Kovtun, D T Son and A O Starinets, Phys. Rev. Lett. 94, 111601 (2005)

  4. N Auerbach and S Shlomo, Phys. Rev. Lett. 103, 172501 (2009)

  5. J C Maxwell, Philos. Mag. 19, 19 (1860), ibid. 20, 21 (1860)

  6. R Johnson, World’s slowest-moving drop caught on camera at last, Nature News, 18 July 2013

  7. E M Purcell, Am. J. Phys. 45, 3 (1977)

  8. N Dinh Dang, Phys. Rev. C 84, 034309 (2011)

  9. A Schiller and M Thoennessen, At. Data Nucl. Data Tables 93, 548 (2007)

  10. N Auerbach and A Yeverechyahu, Ann. Phys. (New York) 95, 35 (1975)

  11. K T R Davies, A J Sierk and J R Nix, Phys. Rev. C 13, 2385 (1976)

  12. ND Dang and A Arima, Phys. Rev. Lett. 80, 4145 (1998); ibid. Nucl. Phys. A 636, 427 (1998)

  13. N D Dang and A Arima, Phys. Rev. C 68, 044303 (2003)

  14. Z M Drebi et al, Phys. Rev. C 52, 578 (1995)

  15. M Kicińska-Habior et al, Phys. Rev. C 36, 612 (1987) E F Garman et al, Phys. Rev. C 28, 2554 (1983)

  16. A Bracco et al, Phys. Rev. Lett. 62, 2080 (1989)

  17. G Enders et al, Phys. Rev. Lett. 69, 249 (1992)

  18. T Baumann et al, Nucl. Phys. A 635, 428 (1998)

  19. P Heckmann et al, Phys. Lett. B 555, 43 (2003)

  20. M P Kelly et al, Phys. Rev. Lett. 82, 3404 (1999)

  21. D R Chakrabarty et al, Phys. Rev. Lett. 58, 1092 (1987)

  22. W E Ormand et al, Nucl. Phys. A 614, 217 (1997)

  23. D Kusnezov, Y Alhassid and K A Snover, Phys. Rev. Lett. 81, 542 (1998)

  24. L G Moretto, Phys. Lett. B 40, 1 (1972)

  25. N D Dang and A Arima, Phys. Rev. C 68, 014318 (2003)

  26. N Dinh Dang and N Quang Hung, Phys. Rev. C 77, 064315 (2008)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to NGUYEN DINH DANG.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

DANG, N.D. Viscosity: From air to hot nuclei. Pramana - J Phys 83, 683–693 (2014). https://doi.org/10.1007/s12043-014-0857-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-014-0857-8

Keywords

PACS Nos

Navigation