Thermodynamics of high temperature, Mie-Gruneisen solids

American Journal of Physics

Volumn 67, Issue 12, 1999, Pages 1105-1108

  Lemons, Don S ^a   Lund, Carl M ^b  

^a Bethel College Kansas   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033273912     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19091     Document Type: Article

References (16)

1. A. I. Burshtein, Introduction to Thermodynamics and Kinetic Theory of Matter (Wiley, New York, 1997), p. 182.
2. J. K. Roberts and A. R. Miller, Heat and Thermodynamics (Blackie, London, 1951), pp. 531 ff. is a good general reference for Gruneisen's laws and Gruneisen's theory of solids.
3. See R. O. Davis, "Thermodynamics Description of High Pressures," Am. J. Phys. 40, 321-326 (1972) for one application of the Mie-Gruneisen equation of state.
4. Short lists of values of Γ for metals are found in E. U. Condon and H. Odishaw, editors, Handbook of Physics (McGraw-Hill, New York, 1967), 2nd ed., pp. 5-15 and for a variety of materials in Encyclopaedic Dictionary of Physics (Pergamon, New York, 1961), pp. 4 and 544-547. Also D. J. Steinberg, "Equation of State and Strength Properties of Selected Materials," Lawrence Livermore Report No. UCRL-MA-106439, Change 1, February 13, 1996 has a more extensive list of values of Γ and a number of references to other sources.
5. Short lists of values of Γ for metals are found in E. U. Condon and H. Odishaw, editors, Handbook of Physics (McGraw-Hill, New York, 1967), 2nd ed., pp. 5-15 and for a variety of materials in Encyclopaedic Dictionary of Physics (Pergamon, New York, 1961), pp. 4 and 544-547. Also D. J. Steinberg, "Equation of State and Strength Properties of Selected Materials," Lawrence Livermore Report No. UCRL-MA-106439, Change 1, February 13, 1996 has a more extensive list of values of Γ and a number of references to other sources.
6. Short lists of values of Γ for metals are found in E. U. Condon and H. Odishaw, editors, Handbook of Physics (McGraw-Hill, New York, 1967), 2nd ed., pp. 5-15 and for a variety of materials in Encyclopaedic Dictionary of Physics (Pergamon, New York, 1961), pp. 4 and 544-547. Also D. J. Steinberg, "Equation of State and Strength Properties of Selected Materials," Lawrence Livermore Report No. UCRL-MA-106439, Change 1, February 13, 1996 has a more extensive list of values of Γ and a number of references to other sources.
7. Alan, J. Walton, Three Phases of Matter (Oxford U.P., New York, 1983), 2nd ed., pp. 43 ff.
8. D. Tabor, Gases, Liquids, and Solids (Cambridge U.P., New York, 1979), 2nd ed., p. 25.
9. The cell theory of liquids, originated by Lennard-Jones and Devonshire, produces similar equations of state. See Donald A. McQuarrie, Statistical Thermodynamics (University Science Books, Mill Valley, CA, 1973), pp. 227-235; and also A. J. B. Cruickshank, "Non-electrolyte liquids and solids," in Problems in Thermodynamics and Statistical Physics, edited by P. T. Landsberg (Pion, London, 1971), pp. 149-151.
10. The cell theory of liquids, originated by Lennard-Jones and Devonshire, produces similar equations of state. See Donald A. McQuarrie, Statistical Thermodynamics (University Science Books, Mill Valley, CA, 1973), pp. 227-235; and also A. J. B. Cruickshank, "Non-electrolyte liquids and solids," in Problems in Thermodynamics and Statistical Physics, edited by P. T. Landsberg (Pion, London, 1971), pp. 149-151.
11. The value of n can be measured indirectly. See Ref. 5, pp. 274-276 for a discussion of n in an ionic solid.
12. James Jeans, Kinetic Theory of Gases (Cambridge U.P., Cambridge, 1940), p. 67.
13. Ref. 5, p. 280.
14. See, for example, Philip M. Morse, Thermal Physics (Benjamin, New York, 1969), 2nd ed., p. 413.
15. F. H. Harlow and A. A. Amsden, Fluid Dynamics, Los Alamos Report No. LA-4700, 1971, p. 3 .
16. See also the unpublished manuscript (available from the authors) by Carl Lund, "A Solvable Solid EOS, " August 21, 1990.