Abstract
As a well known, thermodynamic properties of various physical systems depend on atomic and molecular interactions in these systems and can be a good instrument of studying theirs internal properties. The departure of the potentials and spectra from the harmonic one and the need for taking additional intermolecular forces into account sometimes result in essential modifications of the thermodynamic equations of system and characteristics such as the heat capacity, chemical potential, and thermodynamic mean size of a, molecule (the bond length) etc. In addition, the number of excited degrees of freedom at different intervals of temperatures, a possibility for a quasiclassical description of the particle pair interaction in the system, and some other properties can be easily inferred from these characteristics1, 2.
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References
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 5, Statistical Physics: Part 1 (4th ed.), Nauka, Moscow (1995); English transi. prey. ed., Pergamoii, Oxford (1980).
R. Balescu, Equilibrium and Nonequilihrium Statistical Mechanics, Wiley, New York (1975).
Ebert D., Klimenko K.G., Vdovichenko M.A., Vshivtsev A.S. Preprint CERN-TH/99–113; hepph/9905253.- 29 p.
Faustov R.N., Galkin V.O., Tatarintsev A.V., Vshivtsev A.S. Theor. Math. Phys. 113, pp. 1530–1542, (1997).
M. Abramowitz and I. Stegan, eds., Handbook of Mathematical Functions witli Formulas, Graplis, and Mathematical Tables, Wiley, New York (1972).
Erdelyi et al., eds., Higher ‘Transcendental Functions (Based on notes left by H. Batcman), Vol. 2, McGraw-Hill, New York (1953).
A.S. Vshivzev, N. V. Norin, and V. N. Sorokin, Theor. Math. Phys., 109, pp. 1329–1341, (1996).
Vshivtsev A.S., Sorokin V.N., Tatarintsev A.V. Physics of Atomic Nuclei, 61, 1499–1506, (1998).
V. P. Barashev, V. V. Belov, A. S. Vshivtsev, and A. G. Kisun’ko, Theor. Math. Phys., 116, pp. 10741082, (1998).
V.A.Vshivtsev, A.V.Prokopov, A.V.Tatarintsev, Theor. Math, Phys., 125, pp. 1568–1577, (2000).
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Tatarintsev, A.V. (2001). Mathematical Models in Non-Linear Systems Thermodynamics. In: Uvarova, L.A., Latyshev, A.V. (eds) Mathematical Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3397-6_3
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DOI: https://doi.org/10.1007/978-1-4757-3397-6_3
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