Collective Dynamics of an Alkali Metal: Liquid Na

Grima Dhingra¹

Section:Research Paper, Product Type: Journal-Paper
Vol.12 , Issue.6 , pp.1-6, Dec-2024

Online published on Dec 31, 2024

Copyright © Grima Dhingra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

Abstract :
The detailed coherent dynamical structure factor of liquid Na at 390 K, in the wave-vector range, 1.6 Ă…-1 ? ? 6.5 Ă…-1, has been predicted by the modified microscopic theory of the collective dynamics of a simple liquid. The wave-vector range corresponds to the primary peak position and the subsequent values of the static pair correlation function. The computed values of the dispersion relation, the velocity of sound and the diffusion coefficient have also been reported. The dynamical structure factors yielded by the modified microscopic theory satisfy the zeroth sum rule along with other sum rules of liquids.

Key-Words / Index Term :
Dynamical structure factor,, Diffusion coefficient; Modified microscopic theory, Dispersion relation, Interaction Potential, Current-current correlation function

References :
[1] C. Morkel and W. Glaser, “Single Particle Motion in Liquid Sodium”, Phys Rev. A, Vol.33, pp.3383-3389, 1986. https://doi.org/10.1103/PhysRevA.33.3383
[2] J.R.D. Copely and J.M. Rowe, “Short-Wavelength Collective Excitations in Liquid Rubidium Observed by Coherent Neutron Scattering”, Phys. Rev. Letters, Vol.32, pp.49-52, 1973. https://doi.org/10.1103/PhysRevLett.32.49
[3] A. Stangel, Chr. Morkel, U. Balucani and A. Torcini, “Single particle motion in a dense liquid: A competition of mode coupling effects”, Journal of Non- Cryst. Solids, Vol.205-207, pp.402-407, 1996. https://doi.org/10.1016/S0022-3093(96)00449-8
[4] T. Bodensteiner, C. Morkel, W. Glaser and B. Dorner, “Collective Dynamics in Liquid Cesium near the melting point”, Phys. Rev. A, Vol.45, pp.5709-5720, 1992. https://doi.org/10.1103/PhysRevA.45.5709
[5] T. Scopigno, U. Balucani, G. Ruocco and F. Sette, “Inelastic X-ray scattering study of the collective dynamics in liquid sodium”, Phys. Rev. E, Vol.65, pp. 031205-1-7, 2002. https://doi.org/10.1103/PhysRevE.65.031205
[6] J. Hubbard and J.L. Beeby, “Collective motion in liquids”, J. Phys. C, Vol.2, pp.556-574, 1969. https://doi.org/10.1088/0022-3719/2/3/318
[7] S.P. Tewari and Surya P. Tewari, “Theory of collective motion in liquids”, J. Phys. C: Solid State Physics, Vol.8, pp.L569-L572, 1975.https://doi.org/10.1088/0022-3719/8/24/001
[8] G. Dhingra, “Correlated Motion of Particles in Liquid Sodium Metal”, International Journal of Scientific Research and Reviews, Vol.8, Issue.1, pp.1085-1091, 2019. http://www.ijsrr.org/pdf/2063.pdf
[9] S.P. Tewari and Surya P. Tewari, “Theory of long wavelength collective motion in liquids”, Phys. Letters, Vol. 65A, pp.241-243, 1978. https://doi.org/10.1016/0375-9601(78)90162-7
[10] S.P. Tewari, G. Dhingra and P. Silotia, “Collective Dynamics of a Nanofluid: Fullerene, C60”, International J. of Mod. Phys. B., Vol.24, pp.4281-4292, 2010. https://doi.org/10.1142/S0217979210055974
[11] S.P. Tewari and Surya P. Tewari, “Zero frequency dynamical structure factor of liquids”, Phys. Letters, Vol.56A, pp.99-100, 1976. https://doi.org/10.1016/0375-9601(76)90157-2
[12] S.P. Tewari, J. Sood and P. Tandon, “Collective dynamics of liquid alkali metals Cs and Rb”, J. Non-Crystalline Solids, Vol.281, pp.72-80, 2001. https://doi.org/10.1016/S0022-3093(00)00437-3
[13] G. Dhingra, “Microscopic Transport Phenomena in a Liquid Alkali Metal: K39”, International Journal in Scientific Research in Physics and Applied Sciences, Vol.7, Issue.1, pp.56-59, 2019. https://doi.org/10.26438/ijsrpas/v7i1.5659
[14] S.P. Tewari, G. Dhingra, P. Silotia and J. Sood, “Theory of collective dynamics of liquid polyvalent metal: Hg”, Phys. Letters A, Vol.368, pp.412-418, 2007. https://doi.org/10.1016/j.physleta.2007.04.035
[15] S.P. Tewari, G. Dhingra, P. Silotia and J. Sood, “Microdynamics of a monoatomic liquid metal”, J. Non-Crystalline Solids Vol. 355, pp.2522-2527, 2009. https://doi.org/10.1016/j.jnoncrysol.2009.08.014
[16] S.P. Tewari, and J. Sood, “Collective Dynamics of Liquid Al”, Modern Phys. Letters, Vol.18, pp.811-816, 2004. https://doi.org/10.1142/S0217984904007293
[17] A. Paskin and A. Rahman, “Effects of a Long-Range Oscillatory Potential on the Radial Distribution Function and the Constant of Self-Diffusion in Liquid Na”, Phys. Rev. Lett., Vol.16 pp.300-303, 1966. https://doi.org/10.1103/PhysRevLett.16.300
[18] M.J. Hujiben and W. van der Lugt, “X-ray and Neutron Diffraction from Liquid Alkali Metals”, Acta Cryst. A, Vol.35, pp.431-445, 1979. https://doi.org/10.1107/S0567739479001042