Abstract
We derive the thermodynamic characteristics of an ideal gas of diatomic molecules with a nonlinear interatomic interaction, solving the problem for a wide class of potentials on the classical level, which is permissible for relatively high temperatures. The nonlinearity of the interaction can yield some characteristic properties of the gas.
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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 transl. prev. ed., Pergamon, Oxford (1980).
R. Balescu,Equilibrium and Nonequilibrium Statistical Mechanics, Wiley, New York (1975).
V. V. Antonchenko,Physics of Water [in Russian], Nauka, Moscow (1986).
A. S. Vshivtsev, A. F. Korolev, K. G. Kruglov, and A. V. Tatarintsev,Izv. Vyssh. Uchebn. Zaved. Fiz., No. 10, 37–41 (1997).
M. Abramowitz and I. Stegan, eds.,Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Wiley, New York (1972).
A. Erdélyi et al., eds.,Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).
M. E. Shtarev, “Mechanisms of proton tunneling in hydrogen bond theory [in Russian],” Master's thesis, Phys. Dept., Moscow State Univ., Moscow (1999).
V. P. Barashev, V. V. Belov, A. S. Vshivtsev, and A. G. Kisun'ko,Theor. Math. Phys.,116, 1074–1082 (1998).
A. S. Vshivzev, N. V. Norin, and V. N. Sorokin,Theor. Math. Phys.,109, 1329–1341 (1996).
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Moscow State Institute of Radio Engineering, Electronics, and Automatics (Moscow Technical University), Moscow, Russia
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 125, No. 2, pp. 315–325, November, 2000.
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Vshivtsev, V.A., Prokopov, A.V. & Tatarintsev, A.V. Some features of the thermodynamics of nonlinear classical systems. Theor Math Phys 125, 1568–1577 (2000). https://doi.org/10.1007/BF02551015
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DOI: https://doi.org/10.1007/BF02551015