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 Mat. Zametki, 2008, Volume 83, Issue 6, Pages 864–879 (Mi mz4838)

Taking into Account the Interaction between Particles in the New Nucleation Theory, Quasiparticles, Quantization of Vortices, and the Two-Particle Distribution Function

V. P. Maslov

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

Abstract: In the present paper, we consider in greater detail the problems that were discussed in the previous short communication [1].

Keywords: quasiparticles, quantization of vortices, two-particle distribution function, Hougen–Watson diagram, phase transition, Boltzmann distribution, Lennard-Jones potential, nanocanonical distribution, superfluidity

DOI: https://doi.org/10.4213/mzm4838

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English version:
Mathematical Notes, 2008, 83:6, 790–803

Bibliographic databases:

UDC: 53:51

Citation: 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”, Mat. Zametki, 83:6 (2008), 864–879; Math. Notes, 83:6 (2008), 790–803

Citation in format AMSBIB
\Bibitem{Mas08} \by V.~P.~Maslov \paper Taking into Account the Interaction between Particles in the New Nucleation Theory, Quasiparticles, Quantization of Vortices, and the Two-Particle Distribution Function \jour Mat. Zametki \yr 2008 \vol 83 \issue 6 \pages 864--879 \mathnet{http://mi.mathnet.ru/mz4838} \crossref{https://doi.org/10.4213/mzm4838} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2451391} \zmath{https://zbmath.org/?q=an:1154.82015} \elib{https://elibrary.ru/item.asp?id=13566672} \transl \jour Math. Notes \yr 2008 \vol 83 \issue 6 \pages 790--803 \crossref{https://doi.org/10.1134/S0001434608050258} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000257399900025} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-46749086675} 

• http://mi.mathnet.ru/eng/mz4838
• https://doi.org/10.4213/mzm4838
• http://mi.mathnet.ru/eng/mz/v83/i6/p864

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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, “Comparison of the New Nucleation Theory with Experimental Data”, Math. Notes, 84:1 (2008), 64–72
2. V. P. Maslov, “Thermodynamics of Nanostructures”, Math. Notes, 84:4 (2008), 592–595
3. V. P. Maslov, “Transition to the Condensate State for Classical Gases and Clusterization”, Math. Notes, 84:6 (2008), 785–813
4. V. P. Maslov, “Taking the particle interaction into account in a new concept of nucleation theory”, Theoret. and Math. Phys., 156:2 (2008), 1228–1229
5. V. P. Maslov, “A correction to the Maxwell distribution and the Bose–Einstein-type distribution in classical physics”, Theoret. and Math. Phys., 157:1 (2008), 1491–1495
6. V. P. Maslov, “New distribution formulas for classical gas, clusters, and phase transitions”, Theoret. and Math. Phys., 157:2 (2008), 1577–1594
7. Maslov V. P., “New look at thermodynamics of gas and at clusterization”, Russ. J. Math. Phys., 15:4 (2008), 493–510
8. Maslov V. P., “New theory of nucleation”, Russ. J. Math. Phys., 15:3 (2008), 332–342
9. Maslov V. P., “On the lambda-point for classical gases and superfluidity in nanotubes”, Math. Notes, 86:3-4 (2009), 385–399
10. 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
11. Maslov V.P., “Mathematical conception of “phenomenological” equilibrium thermodynamics”, Russ. J. Math. Phys., 18:4 (2011), 440–464
12. 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
13. Guzev M.A. Dmitriev A.A., “Bifurcational Behavior of Potential Energy in a Particle System”, Phys. Mesomech., 16:4 (2013), 287–293
14. Guzev M.A., Dmitriev A.A., “Bifurkatsionnoe povedenie potentsialnoi energii sistemy chastits”, Fizicheskaya mezomekhanika, 16:3 (2013), 27–33
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