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 Mat. Zametki, 2008, Volume 83, Issue 5, Pages 787–791 (Mi mz4725)

Brief Communications

Solution of the Gibbs Paradox in the Framework of Classical Mechanics (Statistical Physics) and Chrystalizations of the Gas $C_{60}$

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Keywords: Gibbs paradox, chrystalizations of the gas $C_{60}$, Bose–Einstein distribution, ideal gas, clusterization, phase transition of the first kind, Hamiltonian function

DOI: https://doi.org/10.4213/mzm4725

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English version:
Mathematical Notes, 2008, 83:5, 716–722

Bibliographic databases:

Citation: V. P. Maslov, “Solution of the Gibbs Paradox in the Framework of Classical Mechanics (Statistical Physics) and Chrystalizations of the Gas $C_{60}$”, Mat. Zametki, 83:5 (2008), 787–791; Math. Notes, 83:5 (2008), 716–722

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/mz4725
• https://doi.org/10.4213/mzm4725
• http://mi.mathnet.ru/eng/mz/v83/i5/p787

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. P. Maslov, “Taking into Account the Interaction between Particles in the New Nucleation Theory, Quasiparticles, Quantization of Vortices, and the Two-Particle Distribution Function”, Math. Notes, 83:6 (2008), 790–803
2. V. P. Maslov, “Comparison of the New Nucleation Theory with Experimental Data”, Math. Notes, 84:1 (2008), 64–72
3. V. P. Maslov, “New Distributions in Classical Physics”, Math. Notes, 84:2 (2008), 290–296
4. V. P. Maslov, “New distribution formulas for classical gas, clusters, and phase transitions”, Theoret. and Math. Phys., 157:2 (2008), 1577–1594
5. Maslov V. P., “New theory of nucleation”, Russ. J. Math. Phys., 15:3 (2008), 332–342
6. Maslov V. P., “Theorems on the debt crisis and the occurrence of inflation”, Math. Notes, 85:1-2 (2009), 146–150
7. Cheng Chi-Ho, “Thermodynamics of the system of distinguishable particles”, Entropy, 11:3 (2009), 326–333
8. Maslov V., “Dequantization, statistical mechanics and econophysics”, Tropical and idempotent mathematics, Contemp. Math., 495, ed. Litvinov G. Sergeev S., Amer. Math. Soc., Providence, RI, 2009, 239–279
9. Maslov V.P., “New global distributions in number theory and their applications”, J. Fixed Point Theory Appl., 8:1 (2010), 81–111
10. V. P. Maslov, “Phase transitions in real gases and ideal Bose gases”, Theoret. and Math. Phys., 167:2 (2011), 654–667
11. Maslov V.P., “Mathematical conception of “phenomenological” equilibrium thermodynamics”, Russ. J. Math. Phys., 18:4 (2011), 440–464
12. Maslov V.P., “Mixture of new ideal gases and the solution of the Gibbs and Einstein paradoxes”, Russ. J. Math. Phys., 18:1 (2011), 83–101
13. V. P. Maslov, T. V. Maslova, “Unbounded probability theory and its applications”, Theory Probab. Appl., 57:3 (2013), 444–467
14. Maslov V.P. Maslova T.V., “Probability theory for random variables with unboundedly growing values and its applications”, Russ. J. Math. Phys., 19:3 (2012), 324–339
15. Maslov V.P., “New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts”, Russ. J. Math. Phys., 19:1 (2012), 63–100
16. Maslov V.P., “The Role of Macroinstrument and Microinstrument and of Observable Quantities in the New Conception of Thermodynamics”, Russ. J. Math. Phys., 20:1 (2013), 68–101
17. Maslov V.P., “Thermodynamics and tropical mathematics. Definition of quasistatistical processes”, Russ. J. Math. Phys., 23:1 (2016), 101–114
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