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Reviews of topical problems


Model equations of state

,  a
a Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

Model equations of state determining the thermodynamic characteristics of matter in various states of aggregation are reviewed. Methods for describing the thermodynamics of gases, liquids, and plasmas are described. Quantum-mechanical models for solids and a quasiclassical model of matter are discussed. Models which can be used to study melting, evaporation, structural and electronic phase transitions in solids, and phase transitions in nonideal plasmas are also discussed. The ranges of applicability of the various methods are determined. The results of model-based calculations are compared with the experimental data available.

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Fulltext is also available at DOI: 10.1070/PU1983v026n06ABEH004419
PACS: 64.10.+h, 64.70.−p, 05.70.Ce, 52.25.Kn (all)
DOI: 10.1070/PU1983v026n06ABEH004419
URL: https://ufn.ru/en/articles/1983/6/a/
Citation: Bushman A V, Fortov V E "Model equations of state" Sov. Phys. Usp. 26 465–496 (1983)
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Оригинал: Бушман А В, Фортов В Е «Модели уравнения состояния вещества» УФН 140 177–232 (1983); DOI: 10.3367/UFNr.0140.198306a.0177

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  42. Kovalev Yu M MMPh 10 (2) 57 (2018)
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  45. Mamchuev M O Vestnik Of Samara University. Natural Science Series 24 (1) 42 (2018)
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  48. Tang W-H, Xu B-B et al Acta Phys. Sin. 66 (3) 030505 (2017)
  49. Rethfeld B, Ivanov D S et al J. Phys. D: Appl. Phys. 50 (19) 193001 (2017)
  50. Fat’yanov O V, Asimow P D Journal of Applied Physics 121 (11) (2017)
  51. Lomonosov I V, Gryaznov V K Contrib. Plasma Phys. 56 (3-4) 302 (2016)
  52. Khishchenko K V J. Phys.: Conf. Ser. 774 012001 (2016)
  53. Bordzilovskii S A, Karakhanov S M et al Journal of Applied Physics 120 (13) (2016)
  54. Degtyarev A A, Smirnov E B et al J. Phys.: Conf. Ser. 774 012011 (2016)
  55. Gao X, Chen L et al Physics of Plasmas 23 (9) (2016)
  56. Kadatskiy M A, Khishchenko K V J. Phys.: Conf. Ser. 774 012005 (2016)
  57. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 123 (5) 891 (2016)
  58. Kugotova A M, Tsechoeva A Kh et al J Eng Phys Thermophy 89 (5) 1333 (2016)
  59. Kadatskiy M A, Khishchenko K V J. Phys.: Conf. Ser. 653 012079 (2015)
  60. Stegailov V V, Zhilyaev P A Molecular Physics 1 (2015)
  61. Badretdinova L Kh, Kostitsyn O V et al Bull. Russ. Acad. Sci. Phys. 79 (1) 15 (2015)
  62. Vekilov Yu Kh, Krasil’nikov O M et al ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (9) 967 (2014) [Vekilov Yu Kh, Krasilnikov O M et al Phys.-Usp. 57 (9) 897 (2014)]
  63. Dyachkov S, Levashov P Physics of Plasmas 21 (5) (2014)
  64. Kinelovskii S A, Maevskii K K High Temp 52 (6) 821 (2014)
  65. Minakov D V, Levashov P R et al Journal of Applied Physics 115 (22) (2014)
  66. Krasilnikov O M, Belov M P et al Computational Materials Science 81 313 (2014)
  67. Kinelovskii S A, Maevskii K K J Appl Mech Tech Phy 54 (4) 524 (2013)
  68. Loktionov I K High Temp 50 (6) 708 (2012)
  69. Medvedev A B, Trunin R F Uspekhi Fizicheskikh Nauk 182 (8) 829 (2012)
  70. Merzhievskii L A, Voronin M S Combust Explos Shock Waves 48 (2) 226 (2012)
  71. Golubev A A, Mintsev V B At Energy 112 (2) 147 (2012)
  72. Singh L P, Singh M, Husain A Astrophys Space Sci 331 (2) 597 (2011)
  73. Kinelovskii S A, Maevskii K K Combust Explos Shock Waves 47 (6) 706 (2011)
  74. Fortov V E, Lomonosov I V Shock Waves 20 (1) 53 (2010)
  75. Rekhviashvili S Sh Tech. Phys. Lett. 36 (9) 798 (2010)
  76. Koresheva E R, Aleksandrova I V et al Laser Part. Beams 27 (2) 255 (2009)
  77. Hoffmann D H H, Fortov V E et al High Energy Density Laboratory Astrophysics 2008 Chapter 29 (2009) p. 167
  78. Hoffmann D H H, Fortov V E et al Astrophys Space Sci 322 (1-4) 167 (2009)
  79. HOFFMANN D H H, BLAZEVIC A et al Int. J. Mod. Phys. E 18 (02) 381 (2009)
  80. Lescoute E, Hallo L et al Physics of Plasmas 15 (6) (2008)
  81. Gordeev D G, Gudarenko L F et al Combust Explos Shock Waves 44 (2) 177 (2008)
  82. Lomonosov I V Laser Part. Beams 25 (4) 567 (2007)
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  84. Khorev I E, Tolkachev V F, Erokhin G A Cosmic Res 45 (2) 170 (2007)
  85. Lomonosov I V, Tahir N A Nuclear Physics News 16 (1) 29 (2006)
  86. RAY A, SRIVASTAVA M K et al Laser Part. Beams 24 (3) 437 (2006)
  87. Zhernokletov M V Material Properties under Intensive Dynamic Loading Shock Wave And High Pressure Phenomena Chapter 4 (2006) p. 147
  88. Erokhin G A, Kanel’ G I et al Dokl. Phys. 50 (2) 100 (2005)
  89. Karpenko S V, Savintsev A P, Temrokov A I Dokl. Phys. 50 (9) 438 (2005)
  90. Kopp I Z Applied Mechanics Reviews 58 (3) 206 (2005)
  91. Kanel G I, Fortov V E, Razorenov S V Shock-Wave Phenomena and the Properties of Condensed Matter Chapter 1 (2004) p. 1
  92. Karpenko S V, Temrokov A I Tech. Phys. 49 (11) 1509 (2004)
  93. Mazhukin V I, Nossov V V et al J. Phys. D: Appl. Phys. 37 (2) 185 (2004)
  94. Mahdieh M H, Hall T A J. Phys. D: Appl. Phys. 36 (10) 1188 (2003)
  95. Batani D, Vovchenko V I et al Dokl. Phys. 48 (3) 123 (2003)
  96. Khishchenko K V, Fortov V E, Lomonosov I V International Journal Of Thermophysics 23 (1) 211 (2002)
  97. Anisimov S I, Luk’yanchuk B S Uspekhi Fizicheskikh Nauk 172 (3) 301 (2002)
  98. Kanel G I, Asay J R et al International Journal Of Impact Engineering 23 (1) 421 (1999)
  99. Batani D, Koenig M et al Plasma Phys. Control. Fusion 41 (1) 93 (1999)
  100. Borovik F N, Romanov G S J Eng Phys Thermophys 72 (6) 1017 (1999)
  101. Inogamov N A, Anisimov S I, Retfeld B J. Exp. Theor. Phys. 88 (6) 1143 (1999)
  102. Al’tshuler L V, Trunin R F et al Uspekhi Fizicheskikh Nauk 169 (3) 323 (1999)
  103. Inogamov N A, Petrov Yu V et al Jetp Lett. 69 (4) 310 (1999)
  104. Sikka S K, Godwal B K, Chidambaram R High-Pressure Shock Compression of Solids III Chapter 1 (1998) p. 1
  105. Fortov V E, Khishchenko K V et al Nuclear Instruments And Methods In Physics Research Section A: Accelerators, Spectrometers, Detectors And Associated Equipment 415 (3) 604 (1998)
  106. Kanel G I, Baumung K et al Nuclear Instruments And Methods In Physics Research Section A: Accelerators, Spectrometers, Detectors And Associated Equipment 415 (3) 509 (1998)
  107. Godwal B K, Sikka S K, Kaushik T C Laser Part. Beams 15 (3) 353 (1997)
  108. Redmer R Physics Reports 282 (2-3) 35 (1997)
  109. Patel N H, Ranga R M P J Eng Math 30 (6) 683 (1996)
  110. Koenig M, Faral B et al Phys. Rev. Lett. 74 (12) 2260 (1995)
  111. Lomonosov I, Fortov V Computational Mechanics ??T95 Chapter 304 (1995) p. 1830
  112. Batsanov S S Effects of Explosions on Materials Chapter 1 (1994) p. 1
  113. Minguez E, Eliezer S, Falquina R Journal Of Quantitative Spectroscopy And Radiative Transfer 51 (1-2) 229 (1994)
  114. Yakub E S Low Temperature Physics 20 (8) 579 (1994)
  115. Cauble R, Phillion D W et al Phys. Rev. Lett. 70 (14) 2102 (1993)
  116. Vogel N J. Phys. D: Appl. Phys. 26 (10) 1655 (1993)
  117. Eliezer S, M?enguez E Laser Part. Beams 10 (3) 495 (1992)
  118. Likal’ter A A ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 162 (07) 119 (1992)
  119. Butina T A J Appl Mech Tech Phys 33 (1) 20 (1992)
  120. Zhaoning L, Shoufu P Acta Mech Sinica 5 (4) 361 (1989)
  121. Eliezer Sh NATO ASI Series Vol. The Nuclear Equation of StateHigh Pressure Equation of State in Various Areas of Physics ??K Overview216a Chapter 38 (1989) p. 497
  122. Nikiforov A F, Novikov V G, Uvarov V B High Pressure Research 1 (5-6) 349 (1989)
  123. Vonsovsky S V, Katsnelson M I Springer Series In Solid-State Sciences Vol. Quantum Solid-State PhysicsIntroduction. General Properties of the Solid State of Matter73 Chapter 1 (1989) p. 1
  124. Meyer-ter-Vehn J, Zittel W Phys. Rev. B 37 (15) 8674 (1988)
  125. More R M, Warren K H et al The Physics of Fluids 31 (10) 3059 (1988)
  126. Kraeft W D, Ebeling W et al Annalen Der Physik 500 (6) 429 (1988)
  127. Levy A, Barak G, Ashkenazi J Phys. Rev. B 35 (18) 9474 (1987)
  128. Asay J R, Kerley G I International Journal Of Impact Engineering 5 (1-4) 69 (1987)
  129. Arnold R C, Meyer-ter-Vehn J Rep. Prog. Phys. 50 (5) 559 (1987)
  130. Obukhov V V, Romanov G S et al Journal Of Engineering Physics 52 (3) 317 (1987)
  131. Fortov V E, Gryaznov V K Strongly Coupled Plasma Physics Chapter 9 (1987) p. 87
  132. Zittel W, Meyer-Ter-Vehn J, Kübler J Physica B+C 139-140 364 (1986)
  133. Laughlin R B Phys. Rev. A 33 (1) 510 (1986)
  134. Zhitenev S B, Inogamov N A, Konstantinov A B Journal Of Engineering Physics 50 (5) 518 (1986)
  135. Ross M Rep. Prog. Phys. 48 (1) 1 (1985)
  136. More R M Advances In Atomic And Molecular Physics Vol. 21 (1985) p. 305
  137. Kuz’mina L V, Rodionov I D USSR Computational Mathematics And Mathematical Physics 25 (4) 150 (1985)
  138. Ebeling W, Richert W Physics Letters A 108 (2) 80 (1985)
  139. Ebeling W, Fortov V E et al Experientia Supplementum Vol. Transport Properties of Dense PlasmasReferences47 Chapter 7 (1984) p. 168
  140. Ebeling W, Klimontovich Yu L et al Experientia Supplementum Vol. Transport Properties of Dense PlasmasKinetic Equations and Linear Response Theory for Dense Coulomb Fluids47 Chapter 3 (1984) p. 54
  141. Čelebonović Vladan The Moon And The Planets 29 (2) 185 (1983)
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