Abstract
A short review of analytical and numerical results, obtained for collective dynamics in liquid metals and alloys within a theoretical approach of Generalized Collective Modes (GCM) is presented. The GCM approach permits to represent dynamic structure factors in wide ranges of wave numbers and frequencies as a sum of contributions from hydrodynamic and non-hydrodynamic processes. The origin of collective modes that make important contributions to dynamic structure factors beyond the hydrodynamic regime in liquid metals and alloys is discussed.
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08 May 2018
"A misprint has been found in paper [1] in expression for the propagation gap for transverse collective excitations, equation (24). The power index ���2��� at the shear viscosity was missing."
08 May 2018
A misprint has been found in paper [1] in expression for the propagation gap for transverse collective excitations, equation (24). The power index ���2��� at the shear viscosity was missing. The correct expression reads:
References
J.-P. Boon, S. Yip, Molecular Hydrodynamics (McGraw-Hill, 1980)
J.-P. Hansen, I.R. McDonald, Theory of Simple Liquids (Academic, 1986)
C. Cohen, J.W.H. Sutherland, J.M. Deutch, Phys. Chem. Liq. 2, 213 (1971)
U. Balucani, M. Zoppi, Dynamics of the liquid state (Clarendon, 1994)
I.M. deSchepper, E.G.D. Cohen, C. Bruin, J.C. van Rijs, W. Montfrooij, L.A. de Graaf, Phys. Rev. A 38, 271 (1988)
I. Mryglod, Condens. Matter Phys. 1, 753 (1998)
I.M. Mryglod, I.P. Omelyan, M.V. Tokarchuk, Mol. Phys. 84, 235 (1995)
T. Bryk, I. Mryglod, G. Kahl, Phys. Rev. E 56, 2903 (1997)
T. Scopigno, G. Ruocco, F. Sette, Rev. Mod. Phys. 77, 881 (2005)
T. Bryk, I. Mryglod, Condens. Matter Phys. 7, 471 (2004)
D.D. Joseph, L. Preziosi, Rev. Mod. Phys. 61, 41 (1989)
F. Bencivenga, A. Cunsolo, M. Krisch, G. Monaco, G. Ruocco, F. Sette, Europhys. Lett. 75, 70 (2006)
J.-F. Wax, R. Albaki, J.-L. Bretonnet, Phys. Rev. B 62, 14818 (2000)
T. Bryk, I. Mryglod, T. Scopigno, G. Ruocco, F. Gorelli, M. Santoro, J. Chem. Phys. 133, 024502 (2010)
T. Bryk, I. Mryglod, Phys. Rev. E 64, 322021 (2001)
T. Bryk, I. Mryglod, J. Phys.: Condens. Matter. 13, 1343 (2001)
G.G. Simeoni, T. Bryk, F.A. Gorelli, M. Krisch, G. Ruocco, M. Santoro, T. Scopigno, Nature Phys. 6, 503 (2010)
T. Bryk, I. Mryglod, Condens. Matter Phys. 11, 139 (2008)
N.H. March, M.P. Tosi, Coulomb Liquids (Academic Press, 1984)
T. Bryk, I. Mryglod, Phys. Rev. E 62, 2188 (2000)
T. Bryk, I. Mryglod, Phys. Rev. E 63, 051202 (2001)
A.B. Bhatia, D.E. Thornton, N.H. March, Phys. Chem. Liq. 4, 97 (1974)
T. Bryk, I. Mryglod, J. Phys.: Condens. Matter. 12, 6063 (2000)
T. Bryk, I. Mryglod, J. Phys.: Condens. Matter. 14, L445 (2002)
P.H.K. de Jong, P. Verkerk, C.F. de Vroege, L.A. de Graaf, W.S. Howells, S.M. Bennington, J. Phys.: Condens. Matt. 6, L681 (1994)
J. Bosse, G. Jacucci, M. Ronchetti, W. Schirmacher, Phys. Rev. Lett. 57, 3277 (1986)
A. Campa, E.G.D. Cohen, Phys. Rev. Lett. 61, 853 (1988)
W. Montfrooij, P. Westerhuijs, V.O. de Haan, I.M. de Schepper, Phys. Rev. Lett. 63, 544 (1989)
H.E. Smorenburg, R.M. Crevecoeur, I.M. de Schepper, Phys. Lett. A 211, 118 (1996)
T. Bryk, I. Mryglod, Condens. Matter Phys. 7, 285 (2004)
T. Bryk, I. Mryglod, J. Phys.: Condens. Matter. 17, 413 (2005)
T. Bryk, J.-F. Wax, Phys. Rev. B 80, 184206 (2009)
R. Fernandez-Perea, M. Alvarez, F.J. Bermejo, P. Verkerk, B. Roessli, E. Enciso, Phys. Rev. E 58, 4568 (1998)
E. Enciso, N.G. Almarza, P. Dominguez, M.A. Gonzalez, F.J. Bermejo, Phys. Rev. Lett. 74, 4233 (1995)
N.H. March, M.P. Tosi, Ann. Phys. 81, 414 (1973)
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Bryk, T. Non-hydrodynamic collective modes in liquid metals and alloys. Eur. Phys. J. Spec. Top. 196, 65–83 (2011). https://doi.org/10.1140/epjst/e2011-01419-x
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DOI: https://doi.org/10.1140/epjst/e2011-01419-x