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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 2, Pages 241–265
DOI: https://doi.org/10.4213/tvp106
(Mi tvp106)
 

This article is cited in 4 scientific papers (total in 4 papers)

Energy and number of clusters in stochastic systems of sticky gravitating particles

V. V. Vysotsky

Saint-Petersburg State University
References:
Abstract: We consider a one-dimensional model of a gravitational gas. The gas consists of $n$ particles whose initial positions and speeds are random. At collisions particles stick together, forming “clusters.” Our main goal is to study the properties of the gas as $n\to\infty$. We separately consider “cold gas” (each particle has zero initial speed) and “warm gas” (each particle has nonzero initial speed). For the cold gas, the asymptotics of the number of clusters $K_n(t)$ is studied. We also explore the kinetic energy $E_n(t)$. It is proved that the warm gas instantly “cools,” i.e., $E_n(+0)\to 0$ as $n\to\infty$.
Keywords: gravitational gas, sticky particles, nonelastic collisions, system of particles, number of clusters, energy.
Received: 11.08.2003
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 2, Pages 265–283
DOI: https://doi.org/10.1137/S0040585X97981639
Bibliographic databases:
Language: Russian
Citation: V. V. Vysotsky, “Energy and number of clusters in stochastic systems of sticky gravitating particles”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 241–265; Theory Probab. Appl., 50:2 (2006), 265–283
Citation in format AMSBIB
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\by V.~V.~Vysotsky
\paper Energy and number of clusters in stochastic systems of sticky gravitating particles
\jour Teor. Veroyatnost. i Primenen.
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\issue 2
\pages 241--265
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\crossref{https://doi.org/10.4213/tvp106}
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\zmath{https://zbmath.org/?q=an:1100.82018}
\elib{https://elibrary.ru/item.asp?id=9153121}
\transl
\jour Theory Probab. Appl.
\yr 2006
\vol 50
\issue 2
\pages 265--283
\crossref{https://doi.org/10.1137/S0040585X97981639}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000238760000007}
Linking options:
  • https://www.mathnet.ru/eng/tvp106
  • https://doi.org/10.4213/tvp106
  • https://www.mathnet.ru/eng/tvp/v50/i2/p241
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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