The book consists of the abstracts of plenary, oral and poster contri- butions to the XXXI International Conference on Equations of State for Matter (March 1{6, 2016, Elbrus, Kabardino-Balkaria, Russia). The conference is devoted to the 70th anniversary of birth of Alek- sey Vladimirovich Bushman (October 16, 1946{December 6, 1993). The reports deal with the contemporary investigations in the field of physics of extreme states of matter. The topics are as follows: equa- tions of state and constitutive equations for matter at high pressures and temperatures; shock waves, detonation and combustion physics; interaction of intense laser, x-ray and microwave radiation, powerful ion and electron beams with matter; techniques of intense energy fluxes generation; experimental methods of diagnostics of ultrafast processes; low-temperature plasma physics; physical issues of power engineering and technology aspects. The conference is supported by the Russian Academy of Sciences and the Russian Foundation for Basic Research (grant No. 16-02- 20029). Edited by academician Fortov V.E., Karamurzov B.S., Efremov V.P., Khishchenko K.V., Sultanov V.G., Kadatskiy M.A., Andreev N.E., Dyachkov L.G., Iosilevskiy I.L., Kanel G.I., Levashov P.R., Mint- sev V.B., Savintsev A.P., Shakhray D.V., Shpatakovskaya G.V. The editorial board announces with deep regret the death of the colleague and friend, Prof. Vladimir Grigorievich Novikov (July 4, 1950{October 2, 2015), who was a regular and active participant of the Conferences on Equations of State for Matter and Interaction of Intense Energy Fluxes with Matter starting with one of the first meeting. ISBN 978-5-7558-0567-4 CONTENTS Chapter 1. Equations of State for Matter Fortov V.E. On mechanical measurements in high-energy- density physics . 32 Lomonosov I.V. A V Bushman and equation-of-state problem 32 Khishchenko K.V. Wide-range equations of state for com- pounds at high dynamic pressures . 33 Shpatakovskaya G.V., Karpov V.Ya. Atomic number scal- ing of electron spectra in semiclassical free atoms . 34 Degtyareva V.F. Complex structures of dense lithium: Elec- tronic origin . 35 Iosilevskiy I.L., Gryaznov V.K. Binodal layer and rarefac- tion shock in retrograde adiabatic expansion of warm dense matter in two-phase region of non-congruent phase transition . 36 Baidakov V.G. Mechanical stability of solids at negative pressures . 37 Ternovoi V.Ya., Nikolaev D.N., Kvitov S.V., Pyalling A.A. Nitrogen phase transformation under quasi-isentropic compression up to 130 GPa . 38 Levashov P.R., Minakov D.V., Chentsov A.V. Deuterium compression isentrope: Analysis of temperature and electrical conductivity . 39 Knyazev D.V., Levashov P.R. Thermodynamic and trans- port properties of CH2 plasma in the two-temperature case . 40 Minakov D.V., Levashov P.R. Thermodynamic properties of LiD under compression with different pseudopoten- tials for lithium . 41 Kadatskiy M.A., Khishchenko K.V. Equation-of-state cal- culation for LiH and LiD based on quantum-statistical models . 42 Dyachkov S.A., Levashov P.R., Minakov D.V. Region of validity of the Thomas{Fermi model with quantum, exchange and shell corrections . 43 Akzyanov R.S., Dyachkov S.A. Density of states on the surface of topological insulator with impurities based on the Thomas{Fermi theory . 44 3 Kyarov A.Kh., Savintsev A.P. Static polarizability in com- bined Thomas{Fermi model . 45 Azeddine B. One-dimensional analytical solution of the Schr¨odingerequation using the periodic delta potential 46 Belkheeva R.K. The models for description of the Gr¨uneisen coefficient . 47 Kraus E.I., Shabalin I.I. A few-parameter equation of state of the condensed matter . 48 Maevskii K.K., Kinelovskii S.A. Thermodynamic parame- ters of heterogeneous materials under shock-wave load- ing in presentation of equilibrium model . 49 Degtjarjov A.A., Smirnov E.B., Kostitsyn O.V., Stankevich A.V., Muzyrya A.K., Badretdinova L.Kh., Ten K.A., Pruuel E.R., Kashkarov A.O. Hydrostatic and shock- wave compression of a molecular crystal . 50 Basharin A.Yu., Dozhdikov V.S., Levashov P.R. Diamond high-temperature destruction mechanism . 51 Efremov V.P., Zakatilova E.I. Thermodynamic stability of detonation nanodiamonds . 52 Dozhdikov V.S., Basharin A.Yu., Levashov P.R., Minakov D.V. Liquid carbon properties and structure: Modeling by quantum and classical molecular dynamics . 53 Norman G.E., Saitov I.M. Fluid–fluid–solid triple point on melting lines at high temperatures . 54 Krasnikov V.S., Mayer A.E. Two-scale model of aluminum melting and its application for problem of electron beam irradiation . 55 Chingina E.A., Volkov N.B. Dynamics of phonon spectrum and anomaly of the curve of melting of sodium at pressures 0{60 GPa . 56 Vervikishko P.S., Sheindlin M.A. Recent advances in laser- pulse melting of graphite . 57 Rakhel A.D. The melting curve of graphite . 58 Orekhov N.D., Stegailov V.V. On the kinetics of graphite melting: A molecular modeling approach . 59 Vaulina O.S., Koss X.G. Melting of fcc and bcc lattices for the systems with various isotropic pair potentials . 60 Rykov V.A., Rykov S.V. Equation of state based on linear model and phenomenological theory of the critical point 61 4 Kudryavtseva I.V., Rykov V.A., Rykov S.V. Fundamental equation of state of perfluoropropane . 62 Rykov S.V., Kudryavtsev D.A., Rykov V.A. The fundamen- tal equation of state for R32 that meets the require- ments of the scale theory . 63 Kudryavtseva I.V., Rykov S.V., Rykov V.A. The equation of state of argon taken into account the asymmetry of the liquid relative to the critical isochore . 64 Ustyuzhanin E.E., Vorobev V.S., Shishakov V.V. A com- parative study of scaling models for the densities on the coexistence curve . 65 Petrik G.G. Critical factor of compressibility: The charac- teristic of the equation of state and a physical parameter 66 Narkevich I.I., Farafontova E.V. Practicing the two-level molecular-statistical method for describing the struc- ture and thermodynamic properties of molecular medium in different aggregative states . 67 Lenev D.Y., Norman G.E. Attachment and accommodation at cluster growth in metal vapor . 68 Khomkin A.L., Shumikhin A.S. Conductivity of metal va- pors in vicinity of critical point . 69 Chigvintsev A.Yu., Iosilevskiy I.L., Noginova L.Yu. Pseud- ocritical point in anomalous phase diagrams of simple plasma models . 70 Melnikova N.V., Volkova Ya.Yu. Effect of high pressure on the crystal structure of chalcogenides based on layered semiconductors . 71 Kurochka K.V., Melnikova N.V. Study of temperature de- pendences of electric properties of amorphous silver chalcogenides containing carbon nanotubes . 72 Zaikova V.E., Melnikova N.V., Kurochka K.V., Kheifets O.L. Study of electrical properties of multicomponent silver and copper chalcogenide glasses at temperatures range 300{400 K . 73 Yakovleva E.A., Melnikova N.V., Chupakhina T.I., Kady- rova N.I. Influence of external effects on the dielectric properties of Ln2−xSrxNi1−yMyO4 ........... 74 Adiguzel O. Martensitic transformation and nanoscale as- pects in shape memory alloys . 75 5 Efimchenko V.S., Galitskaya Y.A., Fedotov V.K., Mele- tov K.P., Barkovskii N.V. The hydrogen solubility in silicates at high pressure . 76 Korotaev P.Yu., Pokatashkin P.A., Yanilkin A.V. The be- havior of boron carbide under non-hydrostatic stress . 77 Senchenko V.N., Belikov R.S., Popov V.S., Melnikov S.A. Experimental investigation of thermophysical proper- ties of carbides of refractory metals at high temperatures 78 Senchenko V.N., Belikov R.S., Popov V.S. High-speed mul- tichannel pyrometer for high temperatures properties investigations . 79 Rusin S.P. Temperature determination in an isothermal sys- tem of opaque bodies from a thermal radiation spectrum 80 Lepeshkin A.R., Vaganov P.A. Investigations of thermal conductivity of metals in the field of centrifugal and vibration accelerations . 81 Maltsev M.A., Kulikov A.N., Morozov I.V. Thermodynamic properties of vanadium and cobalt argide ions, VAr+ and CoAr+ ........................ 82 Khlyupin A.N., Dinariev O.Y. Equation of state of fluid monolayer absorbed on a stochastic surface . 83 Tarala V.A., Akhmatov Z.A., Khokonov A.Kh. Synthesis and thermal properties of pristine and hydrogenated carbon graphene-like materials . 84 Magomedov R.A., Meilanov R.P., Akhmedov E.N., Aliver- diev A.A. About application of derivatives of fractional order to taking into account the principle of local dise- quilibrium . 85 Manykin E.A., Grichuk E.S., Kuzmina M.G. Neuromorphic approach for information processing of image recon- straction . 86 Kravchenko I.V., Patlazhan S.A. Bifurcation of viscous fluid flow in a channel with sudden contraction and expansion 87 Vagner S.A., Patlazhan S.A. Hydrodynamics of power-law fluid in microchannel with superhydrophobic wall . 88 Khokonov A.Kh. The viscosity and surface tension of nu- clear matter and quark-gluon plasma . 89 Bolesta A.V., Fomin V.M. Molecular-dynamics modeling of phase transformation in copper under shock conditions 90 6 Fortova S.V., Shepelev V.V., Pronina A.P., Utkin P.S. Nu- merical simulation of the high-speed impact of two metal plates . 91 Krasnova P.A., Levashov P.R., Povarnitsyn M.E. Equation of state of aluminum consistent with molecular dynamic potential . 92 Lopanitsyna N.Yu., Kuksin A.Yu. Nucleation and spall strength of liquid metals . 93 Fidanyan K.S., Stegailov V.V. Diffusion of vacancies in bcc metals and its dependence on temperature . 94 Kirova E.M., Pisarev V.V. Molecular dynamics study of vis- cosity during glass transition of aluminum melt . 95 Galiullina G.M., Orekhov N.D., Stegailov V.V. Nucleation of carbon nanostructures: Molecular dynamics with reactive potentials .