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

This article is cited in 17 scientific papers (total in 17 papers)

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

Full text: PDF file (350 kB)
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English version:
Mathematical Notes, 2008, 83:5, 716–722

Bibliographic databases:

Received: 20.03.2008

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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    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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. P. Maslov, “Comparison of the New Nucleation Theory with Experimental Data”, Math. Notes, 84:1 (2008), 64–72  mathnet  crossref  crossref  mathscinet  isi
    3. V. P. Maslov, “New Distributions in Classical Physics”, Math. Notes, 84:2 (2008), 290–296  mathnet  crossref  crossref  mathscinet  isi
    4. V. P. Maslov, “New distribution formulas for classical gas, clusters, and phase transitions”, Theoret. and Math. Phys., 157:2 (2008), 1577–1594  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Maslov V. P., “New theory of nucleation”, Russ. J. Math. Phys., 15:3 (2008), 332–342  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    6. Maslov V. P., “Theorems on the debt crisis and the occurrence of inflation”, Math. Notes, 85:1-2 (2009), 146–150  crossref  zmath  isi  elib  scopus
    7. Cheng Chi-Ho, “Thermodynamics of the system of distinguishable particles”, Entropy, 11:3 (2009), 326–333  crossref  mathscinet  zmath  isi  elib  scopus
    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  crossref  mathscinet  zmath  isi
    9. Maslov V.P., “New global distributions in number theory and their applications”, J. Fixed Point Theory Appl., 8:1 (2010), 81–111  crossref  mathscinet  zmath  isi  scopus
    10. V. P. Maslov, “Phase transitions in real gases and ideal Bose gases”, Theoret. and Math. Phys., 167:2 (2011), 654–667  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    11. Maslov V.P., “Mathematical conception of “phenomenological” equilibrium thermodynamics”, Russ. J. Math. Phys., 18:4 (2011), 440–464  crossref  mathscinet  zmath  isi  elib  scopus
    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  crossref  mathscinet  zmath  isi  elib  scopus
    13. V. P. Maslov, T. V. Maslova, “Unbounded probability theory and its applications”, Theory Probab. Appl., 57:3 (2013), 444–467  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    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  crossref  mathscinet  zmath  isi  elib  scopus
    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  crossref  mathscinet  zmath  isi  elib  scopus
    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  crossref  mathscinet  zmath  isi  elib  scopus
    17. Maslov V.P., “Thermodynamics and tropical mathematics. Definition of quasistatistical processes”, Russ. J. Math. Phys., 23:1 (2016), 101–114  crossref  mathscinet  zmath  isi  elib  scopus
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