Abstract
Modeling the behavior of matter under various influences requires a knowledge of the equation of state. Equations of state are often required to cover a wide range, including solid, liquid, gas, and plasma states. If the material is chemically complicated, it is necessary to take possible chemical reactions into account. The problem of calculation of an equation of state from basic principles has not yet been solved by modern methods. This causes practical use of various semi-empirical models having free parameters that are chosen based on the description of experimental and theoretical data. Forms of model equations are rather varied [1]. The models have different kinds of complication, different numbers of free parameters, and describe a variety of states. Desirable properties of models are a wide range of applicability, simplicity, and the capability to describe limiting situations of high pressure and temperature where theoretical techniques of calculation are suitable. It is rather difficult to reach such a compromise, which is why models often have either local validity, agreeing with experimental data within only narrow ranges of states, or are complicated and have a large number of free parameters whose selection is often difficult because of lack of the information needed to carry it out.
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References
A.V. Bushman and V.E. Fortov, Soy. Phys.—Usp. 26(6) pp. 465–496, (1983). [trans. from: Usp. FiiNauk 140(2) pp. 177–232 (1983).]
V.P. Kopyshev, J. Appt Mech Tech. Phys. 12(1) pp. 103–107 (1971). [trans. from Zh. Prikl. Mekh. Tekh. Fiz 12(1) pp. 119–122 (1971).]
A.B. Medvedev, VoprosyAtomnoi Nauki Tekh. Ser. Teor. Prikl. Fiz. (1), pp. 23–29 (1990).
A.B. Medvedev, VoprosyAtomnoi Nauki Tekh. Ser. Teor. PrikL Fiz. (1), pp. 12–19 (1992).
V.P. Glushko (ed.), Thermodynamic Properties of Individual Substances, Vols. 1–4, Science, (1978–1982). (in Russian)
W.J. Nellis, A. Mitchell, M. van Thiel, et al., J. Chem. Phys. 79(3), YPP. 1480–1486 (1983).
H. Shimizu, E. Brody, H. Mao, and P. Bell, Phys. Rev. Lett. 47 (2), pp. 128–131 (1981).
R.F. Trunin, MV. Zhemokletov, N.F. Kuznetsov et al., Soy. J. Chem. Phys. 11(3) p. 606–609 (1992). [trans. from Khim. Fiz. 11(3) pp. 424–432 (???).]
S.P. Marsh (ed.), LASL ShockHugoniotData, Univ. Calif. Press, Berkley, (1980).
W.J. Nellis and A.C. Mitchell, J. Chem. Phys. 73 (12), pp. 6137–6145 (1980).
V.N. Zubarev and G.S. Telegin, Dokl. Phys. Chem. Section 147(2) pp. 867–870 (1962). [trans. fromDokl. Acad. NaukSSSR 142(2) pp. 309–312 (1962).]
G.L. Schott, High Pressure Research 6 (3), pp 187–200 (1991).
W.J. Nellis, F.H. Ree, A.C. Mitchell, and M. van Thiel, J. Chem. Phys. 75 (6), pp. 3055–3063 (1981).
N.B. Vargaftik, Handbook on Thermophysical Properties of Gases and Fluids, FIFML (1963). (in Russian)
B.I. Verkin (ed.), Properties of Condensed Phases of Hydrogen and Oxygen, Naukova Dumka, Kiev, (1984). (in Russian)
V.P. Kopyshev and V.V. Khrustalev, Zh. Prikl. Mekh. Tekh. Fiz. 1, pp. 122–128 (1971).
M.P. Vukalovich and I.I. Novikov, Equation of State ofReal Gases, Gosenergoizat, (1948). (in Russian)
C.L. Mader, Numerical Modeling ofDetonations, University of California Press, Berkeley (1979), p. 270.
Dobratz B.M. LLNL Explosives Handbook LLL Calif.: Univ. Calif., 1981.
H. Hornberg, Propellants, Explosives, Pyrotechnics, 11 (1), pp. 23–31 (1986).
I-Feng Lan, Sheng-Chin Hung, Chun-Yu Cher, et al., Propellants, Explosives, Pyrotechnics, 18, pp. 18–24 (1993).
A.B. Medvedev, Khim. Fin 14 (2–3), pp. 56–64 (1995).
A.V. Bushman B.N. Lomakin, V.A. Sechenov, V.E. Fortov, O.E. Shchekotov, and I.I. Sharipdzhanov, Sov. Phys.-JETP 42(5), pp. 828–831(1976) [trans. from Zh. Eksp. Teor. Fiz. 69 (5), pp. 1624–1633 (1975).
I.Ya. Dikhter and V.A. Zeigarnik, High Temperature 15(1) pp.167–169 (1977). [trans. from Teplofiz. Vys. Temp. 15(1) pp.196–198 (1977).]
I.N. Makasenko, H.M. Nikolaenko, and S.M. Stishov: Liquid Metals-1976 (ed. R. Evans and D.A. Greenwood) Institute of Physics, Bristol, (1977), pp. 79–89.
V.F. Kozhevnikov, Sov. Phys.-JETP 70(2) pp. 298–310 (1990). [Trans. from Zh. Eksp. Teor. Fiz. 97(2) pp. 541–558 (1990).]
N.B. Vargaftik, L.D. Volyak, V.G. Stepanov, V. D. Sheherbakov and P.I. Baumshtein, High Temperature 15(1) pp. 550–556 (1977). [trans. from Teplofiz. Vys. Temp. 23(4) pp. 692–698 (1985).]
B.G. Braviy, S.P. Vetchinin, A.V. Kirillin, and A.T. Kunavin High Temperature 15(1) pp. 1–6 (1977). [trans. from Teplofiz. Vys. Temp. 15(1) pp. 1–7 (1977).]
V.P. Kopyshev and A.B. Medvedev, Soy. Tech. Rev. B. Therm. Phys. Rev. 5, pp. 37–93 (1993).
V.P. Kopyshev and A.B. Medvedev, Thermodynamic Model of Compressed Covolume, VNIIEF, Sarov (1995), p. 121.
M.V. Zhemokletov, A.B. Medvedev, and G.V. Simakov, Khim. Fiz. 14(2–3) pp. 49–55 (1995).]
R.F. Trunin and G.V. Simakov, Math Modelirovanie 5 (8), pp. 108–117 (1993).
L.V. Al’tshuler, A.A. Bakanova, I.P. Dudoladov, E.A. Dynin, R.F. Trunin, and B.S. Chekin, J. Appl. Mech. Tech. Phys. 22(2) pp. 145–169 (1981). [trans. from Prikl. Mekh. Tekh. Fiz. 2 pp. 3–34 (1981).]
K.K. Krupnikov, A.A. Bakanova, M.I. Brazhnik, and R.F. Trunin, Soy. Phys. Doklady (Physics) 8(2), pp. 205–208 (1963). [trans. from Dokl. Acad. Nauk SSSR 148(6), pp. 1302–1305 (1963).]
Modification of the van der Waals Model for Dense States of Matter 433
L.V. Altshuler, A.A. Bakanova, and R.F. Trunun, Sov. Phys.-JETP 42(1) pp. 91104 (1962).]
L.V. Al’tshuler, K.K. Krupnikov, and M.I. Brazhnik, Sov. Phys.-JETP 34(7), pp. 614–619 (1958). [Trans. from, Zh. Eksp. Teor. Fiz. 34(4), pp. 886–893 (1958).]
L.V. Alttshuler, S.B. Kormer, A.A. Bakanova, and R.F. Trunin, Sov. Phys.-JETP 11, pp. 573–579 (1960). [trans from Zh. Eksp. Teor. Fiz. 38(3), pp. 790–798 (1960).]
L.V. Altshuler and B.S. Chekin, in: The first All-Union Symposium on Pulse Pressures VNIIFTRI, (1974), pp. 5–22.
A.C. Mitchell and W.J Nellis, J. Appl. Phys. 52 (5), p. 3363–3374, (1981).
L.V. Al’thhuler, S.B. Kormer, M.I. Brazhnik, L.A. Vladimirov
M.P. Speranskaya, and A.I. Funtikov, Sov. Phys.-JETP 11 pp. 766–775 (1960). [trans. from: Zh. Eksp: Teor. Fiz. 38(4) pp. 1061–1073 (1960).]
L.V. Altthhuler, B.N. Moiseev, L.V. Popov, G.V. Simakov, and R.F. Trunin, Soy. Phys.-JETP 27 pp. 420–422 (1968). [trans. from: Zh. Eksp. Teor. Fiz. 54(3), pp. 785–789 (1968).]
R.F. Trunin, M.A. Podurets, B.N. Moiseyev, G.V. Simakov, and L.V. Popov, Sov. Phys.JIfIP 29(4), pp. 630–631 (1969). [trans. from Zh. Eksp. Teor. Fiz. 56(4), pp. 1172–1174 (1969).]
R.F.Trunin, M.A. Podurets, G.V. Simakov, L.V. Popov, and B.N. Moiseev, Sov. Phys.-JETP 35, pp. 550–552 (1972). [trans. from Zh. Eksp. Teor. Fiz. 62(3), pp. 1043–1048 (1972).]
C.E. Ragan, Phys. Rev. A 25(6), pp.. 3360–3375 (1982).
C.E. Ragan, Phys. Rev. A. 29 (3), pp. 1391–1402 (1984).
B.L. Glushak, A.P. Zharkov, M.V. Zhernokletov, V.Ya. Ternovoi, A.S. Filmonov, and V.E. Fortov, Sov. Phys.-JETP 69(4), pp. 739–749 (1989). [trans. from Zh. Eksp. Teor. Fiz. 96(4), pp. 1301–1318 (1989).]
B.K. Vodolaga XXVIII EHPRG annual meeting “Materials and high pressures”. Booklet of the abstracts. Bordeanx. France. 1990.
A.C. Mitchell, W.J. Nellis, N.C. Holmes, et al. in: Shock waves in Condensed Matter-1983 (eds. J.R. Asay, R.A. Graham, and G.K. Straub) North-Holland, Amsterdam (1984), pp. 81–83.
V.A. Simonenko, N.P. Voloshin, A.S. Vladimirov, A.P. Nagibin, V.N. Nogin, V.A. Popov, V.A. Vasilenko, and Yu. A. Shoidin, Sov. Phys.-JETP 61(4), pp. 869–873 (1985). [trans. from Zh. Eksp. Teor. Fiz. 88(4), pp. 1452–1469 (1985).]
L.P. Volkov, N.P. Voloshin, A.S. Vladimirov, V.N. Nogin and V.A. Simonenko, Soy. Phys.-JETP Letters 31(11), pp. 588–592 (1980). [trans. from: Pis ‘ma Zh. Eksp. Teor. Fiz. 31(11), pp. 623–627 (1980).]
S.B. Kormer, A.I. Funtikov, V.D. Urlin, and A.N. Kolesnikova, Sov. Phys.-JETP 15, pp. 477–488 (1962). [trans. from Zh. Eksp. Teor. Fiz 42(3), pp. 686–702 (1962).]
L.V. Alttshuler and A.A. Bakanova, Sov. Phys.-Usp. 11(5), pp. 678–689, (1968). [trans. from Usp. Fizich. Nauk 96(2), pp. 193–215 (1968).]
R.F. Trunin, Izvestiya Earth Phys. 22(2) p. 103 (1986). [transi. from Izvestia Akad. NaukSSSRFizika Zemli. (2) p. 26 (1986).]
R.G. McQueen, J.N. Fritz, and C.E. Morris, in: Shock Compression of Condensed Matter-1983 (eds. J.R. Asay, R.A. Graham, and G.K. Straub), North-Holland, Amsterdam, pp. 95–98 (1984).
J.M.Brown and R.G. McQueen, Geophys. Res. Lett. 91, p. 7485–7494 (1986).
R.S. Hixson, D.A. Boness, J.W. Shaner, and J.A. Moriarty, Phys. Rev. Lett. 62 (6), p. 637–640 (1989).
J.M. Brown and J.W. Shaner, in: Shock Compression of Condensed Matter-1983 (eds. J.R. Asay, R.A. Graham, and G.K. Straub), North-Holland, Amsterdam, pp. 91–94 (1984).
D.A. Boness, J.M. Brown, and J.W. Shaner, in: Shock Waves in Condensed Matter-1987 (eds. S.C. Schmidt and N.C. Holmes) North-Holland (1988), pp. 115–118.
E.N. Avrorin, B.K. Vodolaga, N.P. Voloshin, V. F. Kuropatenko, G.V. Kovalenko, V.A. Simonenko, and B.T. Chemovolyuk, JETP Letters 43(5) pp. 308–311 (1986). [trans. from: Pis ‘ma Zh. Eksp. Teor. Fiz. 43(5) pp. 241–244 (1986).]
I.Sh. Model’, A.T. Narozhny, A.I. Kharchenko, S.A. Kholin, and V.V. Khrustalev, JETP Letters 41(6), pp. 332–334 (1985). [trans. from Pis ‘ma Zh. Eksp. Teor. Fiz. 41 (6), pp. 270–272 (1985).
A.S. Vladimorov, N.P. Voloshin, V.N. Nogin, V.A. Nogin, A.V. Petrovtsev, and V.A. Simonenko, JETP Letters 39(2) pp. 82–85 (1984). [trans. from Pis ‘ma Zh. Eksp. Teor. Fiz. 39(2) pp. 69–72 (1984).]
N.N. Kalitkin, Soy. Phys.-JETP 11(5) pp. 1106–1110 (1960) [trans. from Zh. Eksp. Teor. Fiz. 38(5) pp., 1534–1540 (1960).
V.P. Kopyshev, in: Numerical Methods of Continuous Media Mechanics 8(6) (1977), pp. 54–67. (in Russian)
H.K. Mao, P.M. Bell, J.W. Shaner, and D.J. Steinberg, J. Appl. Phys. 49 (6) pp. 3276–3283 (1978).
J. Wu, H.K. Mao, and P.M. Bell, High Temp. High Press. 16, pp. 495–499 (1984).
H.K. Mao, Y. Wu, L.C. Chen, et al. in: High Pressure Science and Technology. (ed. W.B. Holzapfel and P.G. Johansen) Gordon and Breach, New York (1989), pp. 773–775.
L.V. Al’tshuler, M.I. Brazhnik, and G.S. Telegin, J. AppL Mech Tech. Phys. 12 pp. 921–926 (1971). [trans. from Prikl. Mekh. Tekh. Fiz. 6 pp. 159–166 (1971).]
M.V. Zhemokletov, V.N. Zubarev, and Yu.N. Sutulov, AppL Mech. Tech. Phys. 25(1) pp. 107–110 (1984). [trans. from Prikl. Mekh. Tekh. Fiz. 25(1) pp. 119–123 (1984).]
R.F. Trunin, G.V. Simakov, Yu.N. Sutulov, A.B. Medvedev, B.D. Rogozkir, and Yu.E. Fedorov, Sov. Phys. JETP 69(3) pp 580–588 (1989). [trans. from: Zh. Eksp. Teor. Fiz. 96(3) pp. 1024–1038 (1989).]
M. van Thiel (ed.), Compendium of Shock WaveData, Lawrence Livermore National Laboratory report UCRL-50108, Vol. 1, Livermore, CA, (1977).
R.S. Hixon, M.A. Winkler, and J.W. Shaner, High Temp. High Press. 18, pp. 635638 (1986).
R.S. Hixon, M.A. Winkler, and J.W. Shaner, Physica 139/140, pp. 893–896 (1986).
L.V. A1’tshuler, A.V. Bushman, M.V. Zhemokletov, V.N. Zubarev, A.A. Leont’ev, and V.E. Fortov Soy. Phys.—JETP 51(2) pp. 373–383 (1980). [trans. from Zh. Eksp. Teor. Fiz. 78(2) p. 741–760, (1980).]
P. De Beaumont and J. Leygonie, in: Proc. Fifth Symp. (International) on Detonation, Report ACR-184, Office of Naval Research, Arlington, VA, (1970) pp. 430–439.
L.V. A1’tshuler, A.A. Bakanova, A.V. Bushman et al., Soy. Phys.—JETP 46(5) pp. 980–983 (1986). [trans. from: Zh. Eksp. Teor. Fiz. 73(11) pp. 1866–1872 (1977).]
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Medvedev, A.B. (2004). Modification of the van der Waals Model for Dense States of Matter. In: Fortov, V.E., Al’tshuler, L.V., Trunin, R.F., Funtikov, A.I. (eds) High-Pressure Shock Compression of Solids VII. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4048-6_13
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