Geodesic
Statistical theory of the equilibrium elastic and thermal properties of crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 2, pp. 262-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the equilibrium elastic and thermal properties of a crystal that consists of particles with rotational degrees of freedom. To describe its strain and stress states, asymmetric strain and stress tensors are used. On the basis of microscopic expressions for the strain and stress tensors by means of a local-equilibrium ensemble, statistical expressions are obtained for the specific heat of the deformed medium for fixed strain tensors, for four isothermal tensors of elastic moduli, temperature stress coefficients, and coefficients of thermal expansion. These properties are described by static correlation functions of dynamical quantities. 
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V. B. Nemtsov. Statistical theory of the equilibrium elastic and thermal properties of crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 2, pp. 262-271. http://geodesic.mathdoc.fr/item/TMF_1973_14_2_a10/

[1] G. Leibfrid, Mikroskopicheskaya teoriya mekhanicheskikh i teplovykh svoistv kristallov, Fizmatgiz, 1963

[2] D. Zaiman, Printsipy teorii tverdogo tela, «Mir», 1966

[3] I. A. Krumhansl, Lattice dynamics, ed. R. F. Wallis, Pergamon Press, 1965, p. 627

[4] I. A. Kunin, PMM, 30 (1966), 542; ЖПМТФ, 3 (1967), 60

[5] E. Kröner, Problemy gidrodinamiki i mekhaniki sploshnoi sredy, Sb., «Nauka», 1969, 293

[6] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Nauka», 1971

[7] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, «Nauka», 1964 | Zbl

[8] E. L. Aero, Izv. AN SSSR, MZhG, 5 (1967); Э. Л. Аэро, А. Н. Булыгин, Е. В. Кувшинский, ПММ, 29 (1965), 297 | Zbl

[9] E. L. Aero, A. N. Bulygin, FTT, 13 (1971), 1701

[10] L. A. Pokrovskii, DAN SSSR, 177 (1967), 1054

[11] V. B. Nemtsov, PMM, 35 (1971), 411 | Zbl

[12] E. T. Bruk-Levinson, V. B. Nemtsov, Ukr. fiz. zh., 16 (1971), 1530

[13] V. B. Nemtsov, Teplo- i massoperenos, t. 3, Izd. AN BSSR, 1972

[14] V. B. Nemtsov, V. S. Vikhrenko, E. T. Brook-Levinson, L. A. Rott, Phys. Lett., 34A (1971), 105 | DOI

[15] V. S. Vikhrenko, V. B. Nemtsov, L. A. Rott, ZhETF, 61 (1971), 1769

[16] E. T. Bruk-Levinson, V. B. Nemtsov, L. A. Rott, ZhFKh, 45 (1971), 12 | MR

[17] V. B. Nemtsov, Izv. AN BSSR, ser. fiz.-mat. nauk, 3 (1972), 114

[18] M. A. Leontovich, Statisticheskaya fizika, Gostekhizdat, 1944

[19] P. Schofield, Proc. Phys. Soc., 88 (1966), 149 | DOI

[20] A. Z. Akcazu, E. Daniels, Phys. Rev., 2A (1970), 962 | DOI

[21] G. P. De Vault, Phys. Rev., 149 (1966), 624 | DOI

[22] F. R. Gantmakher, Teoriya matrits, «Nauka», 1966 | MR

[23] Fizicheskaya akustika, t. 1, ch. A, «Mir», 1966