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This article is cited in 8 scientific papers (total in 8 papers)
New distribution formulas for classical gas, clusters, and phase
transitions
V. P. Maslov
M. V. Lomonosov Moscow State University
Abstract:
We obtain a Bose–Einstein-type distribution for the classical vapor. We show
that the analogue of the Bose condensate is the formation of clusters. We
write a new $PV$ diagram for interaction with the form of the Lennard-Jones
potential using scattering theory and a strict constraint. We compare our
results with experimental data.
Keywords:
cluster, phase transition, Gibbs paradox, Bose–Einstein distribution, percolation, nucleation, compressibility factor
DOI:
https://doi.org/10.4213/tmf6278
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English version:
Theoretical and Mathematical Physics, 2008, 157:2, 1577–1594
Bibliographic databases:
    
Received: 28.07.2008
Citation:
V. P. Maslov, “New distribution formulas for classical gas, clusters, and phase
transitions”, TMF, 157:2 (2008), 250–272; Theoret. and Math. Phys., 157:2 (2008), 1577–1594
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/tmf6278https://doi.org/10.4213/tmf6278 http://mi.mathnet.ru/eng/tmf/v157/i2/p250
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:
-
V. P. Maslov, “Clustering in an ideal gas in nanostructures as
a Bose-condensation-type phenomenon in an asymptotically probabilistically
quantized space”, Theoret. and Math. Phys., 157:3 (2008), 1760–1761
 -
V. P. Maslov, “Bose condensate in the two-dimensional case, the $\lambda$-point, and the Thiess–Landau two-fluid model”, Theoret. and Math. Phys., 159:1 (2009), 561–562
-
V. P. Maslov, “A new distribution generalizing the Bose–Einstein distribution”, Theoret. and Math. Phys., 159:2 (2009), 684–685
-
V. P. Maslov, “Fluid thermodynamics: Qualitative consideration”, Theoret. and Math. Phys., 161:2 (2009), 1513–1528
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Kozlov V.V., “Kinetics of collisionless gas: Equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox”, Regul. Chaotic Dyn., 14:4-5 (2009), 535–540
 -
Maslov V.P., “Phase transitions of the first and second kind as economic crises. Abstract thermodynamics of fluids”, Russ. J. Math. Phys., 16:3 (2009), 323–344
-
Apfel'baum E.M., Vorob'ev V.S., “Correspondence between the Ideal Bose Gas in a Space of Fractional Dimension and a Dense Nonideal Gas According to Maslov's Scheme”, Russian Journal of Mathematical Physics, 18:1 (2011), 26–32
-
Maslov V.P., “Mixture of New Ideal Gases and the Solution of the Gibbs and Einstein Paradoxes”, Russian Journal of Mathematical Physics, 18:1 (2011), 83–101
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