Abstract
The root-mean square fluctuations of the temperature and energetic surface tension of metallic and molecular nanoparticles have been estimated. It is revealed that the relative value of mentioned fluctuations is not higher than several percents even for the particles of 0.5 nm in size. We thus conclude that it is possible to apply the thermodynamic approach to nanoparticles with fluctuating properties, and the fluctuations do not lead to nanoparticle instability and decay.
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Samsonov, V.M., Izv. Akad. Nauk. Ser. Fiz., 2005, vol. 69, no. 7, p. 1036.
Samsonov, V.M., Kharechkin, S.S., Gafner, S.L., et al., Izv. Akad. Nauk. Ser. Fiz., 2010, vol. 74, no. 5, p. 707 [Bull. Russ. Acad. Sci. Phys. (Engl. Transl.), 2010, vol. 74, no. 5, p. 673].
Landau, L.D. and Lifshits, E.M., Staticheskaya fizika (Statical Physics), Moscow: Fizmatlit, 1995, part 1, chapter 12, pp. 372–446.
Rumer, Yu.B. and Ryvkin, M.Sh., Termodinamika, statisticheskaya fizika i kinetika (Thermodynamics, Statistical Physics and Kinetics), Moscow: Nauka, 1977, chapter 7, pp. 358–367.
Leontovich, M.A., Vvedenie v termodinamiku. Statisticheskaya fizika (Introduction to Thermodynamics. Statistical Physics), Moscow: Nauka, 1983, part II, chapter 3, pp. 241–281.
Gibbs, J.W., Termodinamicheskie raboty (Thermodynamic Works), Moscow: GITTL, 1950.
Frenkel’, Ya.I., Statisticheskaya fizika (Statistical Physics), Moscow-Leningrad: Akad. Nauk SSSR, 1948.
Hill, T.L., Thermodynamics of Small Systems, New York, Amsterdam: W.A. Benjamin, 1963, part 1.
Guggenheim, E.A., Modern Thermodynamics by the Methods of Willard Gibbs, London: Methuen, 1933; Moscow: Gos. nauch.-tekhn. izd. khim. lit., 1941, p. 149.
Makarov, G.N., Usp. Fiz. Nauk, 2008, vol. 178, no. 4, p. 337.
Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei (Handbook on Thermalphysical Properties for Fluids), Moscow: Gos. izd. fiz.-mat. lit., 1963, pp. 192–195.
Fizicheskie velichiny. Spravochnik (Physical Quantities. Handbook), Grigor’ev, I.S. and Meilikhov, E.Z., Eds., Moscow: Energoatomizdat, 1991, p. 199.
Cherevko, A.G., Khokhlov, V.A., and Minchenko, V.I., Materialy II Mezhdunarodnogo simpoziuma MCMO-2 (Proc. II Int. Symp. MCMO-2), Rostov-on-Don-Loo: Izd. Yuzhn. Federal’n. Univ., 2009, pp. 170–173.
Cherevko, A.G., Kolloidn. Zh., 2009, vol. 71, no. 6, p. 852.
Frenkel, Ya.I., Kineticheskaya teoriya zhidkostey (Kinetic Theory of Liquids), Leningrad: Nauka, 1975, pp. 419–465.
Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., Molecular Theory of Gases and Liquids, New York: J. Wiley & Sons, Inc. 1954; Moscow: Inostrannaya Literatura, 1961, pp. 851–853.
Regel’, A.R. and Glazov, V.M., Periodicheskii zakon i fizicheskie svoistva elektronnykh rasplavov (Periodic Law and Physical Properties of Electronic Melts), Moscow: Nauka, 1978, pp. 142–157.
Khokonov, Kh.B., Poverkhnostnye yavleniya v rasplavakh i voznikayushchikh iz nikh tverdykh fazakh (Surface Phenomena in Melts and Solid Phases Generated by Them), Chisinau: Shtinitsa, 1974, pp. 190–261.
Croxton, C., Liquid State Physics, Cambridge: Univ. Press, 1974; Moscow: Mir, 1978, p. 231.
Rusanov, A.I., Termodinamika poverkhnostnykh yavlenii (Thermodynamics of Surface Phenomena), Leningrad: Izd. Leningrad. univ., 1960.
Vitol’, E.N., Kolloidn. Zh., 1992, vol. 54, no. 3, p. 21.
Samsonov, V.M., Khashin, V.A., and Dronnikov, V.V., Kolloidn. Zh., 2008, vol. 70, no. 6, p. 816 [Colloid. J. (Engl. Transl.), 2008, vol. 70, no. 6, p. 763]..
Veitsman, E.V., J. Colloid Interface Sci., 2007, vol. 308, p. 100.
Levich, V.G., Kurs teoreticheskoi fiziki (Course of Theoretical Physics), Moscow: Nauka, 1969, vol. 1.
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Original Russian Text © V.M. Samsonov, D.E. Demenkov, V.I. Karacharov, A.G. Bembel’, 2011, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2011, Vol. 75, No. 8, pp. 1133–1137.
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Samsonov, V.M., Demenkov, D.E., Karacharov, V.I. et al. Fluctuation approach to the problem of thermodynamics’ applicability to nanoparticles. Bull. Russ. Acad. Sci. Phys. 75, 1073–1077 (2011). https://doi.org/10.3103/S106287381108034X
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DOI: https://doi.org/10.3103/S106287381108034X