Non-hydrodynamic modes in viscoelastic behaviour of simple fluids

References

• J.-P. Hansen and I.R. McDonald, Theory of Simple Liquids, Academic, London, 1986.
   Google Scholar
• J.-P. Boon and S. Yip, Molecular Hydrodynamics, McGraw-Hill, New-York, 1980.
   Google Scholar
• T. Scopigno, G. Ruocco, and F. Sette, Microscopic dynamics in liquid metals: The experimental point of view, Rev. Mod. Phys. 77 (2005), pp. 881–933. doi: 10.1103/RevModPhys.77.881
   Web of Science ®Google Scholar
• I.M. deSchepper, E.G.D. Cohen, C. Bruin, J.C. van Rijs, W. Montfrooij, and L.A. de Graaf, Hydrodynamic time correlation functions for a Lennard-Jones fluid, Phys. Rev. A 38 (1988), pp. 271–287. doi: 10.1103/PhysRevA.38.271
   PubMed Web of Science ®Google Scholar
• I.M. Mryglod, I.P. Omelyan, and M.V. Tokarchuk, Generalized collective modes for the Lennard-Jones fluid, Mol. Phys. 84 (1995), pp. 235–259. doi: 10.1080/00268979500100181
   Web of Science ®Google Scholar
• T. Bryk, Non-hydrodynamic collective modes in liquid metals and alloys, Eur. Phys. J. Spec. Top. 196, (2011), pp. 65–83; Erratum 227 (2019), p. 2689. doi: 10.1140/epjst/e2011-01419-x
   Web of Science ®Google Scholar
• R.A. MacPhail and D. Kivelson, Generalized hydrodynamic theory of viscoelasticity, J. Chem. Phys.80 (1984), pp. 2102–2114. doi: 10.1063/1.446976
   Web of Science ®Google Scholar
• T. Bryk and I. Mryglod, Optic-like excitations in binary liquids: Transverse dynamics, J. Phys.: Condens. Matter. 12 (2000), pp. 6063–6076.
   Web of Science ®Google Scholar
• T. Bryk, I. Mryglod, G. Ruocco, and T. Scopigno, Comment on ‘Emergence and evolution of the k gap in spectra of liquid and supercritical states’, Phys. Rev. Lett. 120 (2018), p. 219601. doi: 10.1103/PhysRevLett.120.219601
   PubMed Web of Science ®Google Scholar
• T. Scopigno, U. Balucani, G. Ruocco, and F. Sette, Density fluctuations in molten lithium: Inelastic x-ray scattering study, J. Phys.: Condens. Matte 12 (2000), pp. 8009–8034.
   Web of Science ®Google Scholar
• T. Bryk, I. Mryglod, T. Scopigno, G. Ruocco, F. Gorelli, and M. Santoro, Collective excitations in supercritical fluids: Analytical and molecular dynamics study of positive and negative dispersion, J. Chem. Phys. 133 (2010), p. 024502. doi: 10.1063/1.3442412
   PubMed Web of Science ®Google Scholar
• Yu. D. Fomin, V.N. Ryzhov, E.N. Tsiok, V.V. Brazhkin, and K. Trachenko, Crossover of collective modes and positive sound dispersion in supercritical state, J. Phys.: Condens. Matt. 28 (2016), p. 43LT01.
   PubMed Web of Science ®Google Scholar
• T. Bryk, F.A. Gorelli, I. Mryglod, G. Ruocco, M. Santoro, and T. Scopigno, Behavior of supercritical fluids across the frenkel line, J. Phys. Chem. Lett. 8 (2017), pp. 4995–5001. doi: 10.1021/acs.jpclett.7b02176
   PubMed Web of Science ®Google Scholar
• T. Bryk and I. Mryglod, Collective dynamics in liquid lead: Generalized propagating excitations, Phys. Rev. E 63 (2001), p. 051202. doi: 10.1103/PhysRevE.63.051202
   Web of Science ®Google Scholar
• I.M. Mryglod and I.P. Omelyan, Generalized mode approach 3. Generalized transport coefficients of a Lennard-Jones fluid, Mol. Phys. 92 (1997), pp. 913–927. doi: 10.1080/00268979709482162
   Web of Science ®Google Scholar
• I.M. Mryglod and I.P. Omelyan, Generalized collective modes for a Lennard-Jones fluid in higher-mode approximations, Phys. Lett. A 205 (1995), pp. 401–406. doi: 10.1016/0375-9601(95)00577-P
   Web of Science ®Google Scholar
• S. Kambayashi and G. Kahl, Dynamic properties of liquid cesium near the melting point: A molecular-dynamics study, Phys. Rev. A 46 (1992), pp. 3255–3275. doi: 10.1103/PhysRevA.46.3255
   PubMed Web of Science ®Google Scholar
• T. Bryk, I. Mryglod, and G. Kahl, Generalized collective modes in a binary He0.65–Ne0.35 mixture, Phys. Rev. E 56 (1997), pp. 2903–2915. doi: 10.1103/PhysRevE.56.2903
   Web of Science ®Google Scholar
• P. Schofield, Wavelength-dependent fluctuations in classical fluids: I. The long wavelength limit, Proc. Phys. Soc. 88 (1966), pp. 149–170. doi: 10.1088/0370-1328/88/1/318
   Google Scholar
• Yu.D. Fomin, V.N. Ryzhov, E.N. Tsiok, J.E. Proctor, C. Prescher, V.B. Prakapenka, K. Trachenko, and V.V. Brazhkin, Dynamics, thermodynamics and structure of liquids and supercritical fluids: Crossover at the Frenkel line, J. Phys.: Condens. Matt. 30 (2018), p. 134003.
   PubMed Web of Science ®Google Scholar
• J.G. Powles, G. Rickayzen, and D.M. Heyes, Purely viscous fluids, Proc. R. Soc. Lond. A 455 (1999), pp. 3725–3742. doi: 10.1098/rspa.1999.0474
   Web of Science ®Google Scholar
• E.W. Lemmon, M.O. McLinden, and D.G. Friend, Thermophysicalproperties of fluid systems, in NIST Chemistry WebBook, NISTStandard Reference Database Number 69, P.J. Linstrom and W.G. Mallard, eds., National Institute of Standards and Technology, Gaithersburg, MD, p. 20899. Availabla at http://webbook.nist.gov.
   Google Scholar
• T. Bryk and I. Mryglod, Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes, Condens. Matter Phys. 11 (2008), pp. 139–154. doi: 10.5488/CMP.11.1.139
   Web of Science ®Google Scholar
• D.D. Joseph and L. Preziosi, Heat waves, Rev. Mod. Phys. 61 (1989), pp. 41–73. doi: 10.1103/RevModPhys.61.41
   Web of Science ®Google Scholar
• T. Bryk and G. Ruocco, Generalised hydrodynamic description of the time correlation functions of liquid metals: Ab initio molecular dynamics study, Mol. Phys. 111 (2013), pp. 3457–3464. doi: 10.1080/00268976.2013.838313
   Web of Science ®Google Scholar
• B.G. del Rio and L.E. Gonzlez, Longitudinal, transverse, and single-particle dynamics in liquid Zn: Ab initio study and theoretical analysis, Phys. Rev. B 95 (2017), p. 224201. doi: 10.1103/PhysRevB.95.224201
   Web of Science ®Google Scholar
• T. Bryk, T. Demchuk, and N. Jakse, Atomistic structure and collective dynamics in liquid Pb the melting line up to 70 GPa: A first-principles molecular dynamics study, Phys. Rev. B 99 (2019), p. 014201. doi: 10.1103/PhysRevB.99.014201
   Web of Science ®Google Scholar