On the property of the BBGKY hierarchy solution in cumulant representation
We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2009-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol29/2/art/opuscula_math_2918.pdf |
| _version_ | 1818018117245206528 |
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| author | Mykhailo O. Stashenko Halyna M. Hubal |
| author_facet | Mykhailo O. Stashenko Halyna M. Hubal |
| author_sort | Mykhailo O. Stashenko |
| collection | DOAJ |
| description | We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data. |
| first_indexed | 2024-04-14T07:34:58Z |
| format | Article |
| id | doaj.art-8d83b4cc88544ba79186999701046800 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-04-14T07:34:58Z |
| publishDate | 2009-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-8d83b4cc88544ba791869997010468002022-12-22T02:05:42ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742009-01-01292209216http://dx.doi.org/10.7494/OpMath.2009.29.2.2092918On the property of the BBGKY hierarchy solution in cumulant representationMykhailo O. Stashenko0Halyna M. Hubal1Volyn Institute for Postgraduate Pedagogical Education, 31 Vynnychenka str., Lutsk 43000, UkraineLutsk National Technical University, Computer Science and Information Technologies Faculty, 75 Lvivs'ka str., Lutsk 43018, UkraineWe consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.http://www.opuscula.agh.edu.pl/vol29/2/art/opuscula_math_2918.pdfBBGKY hierarchy of equationsnonsymmetric systemcumulant (semi-invariant)equilibrium distribution functions |
| spellingShingle | Mykhailo O. Stashenko Halyna M. Hubal On the property of the BBGKY hierarchy solution in cumulant representation Opuscula Mathematica BBGKY hierarchy of equations nonsymmetric system cumulant (semi-invariant) equilibrium distribution functions |
| title | On the property of the BBGKY hierarchy solution in cumulant representation |
| title_full | On the property of the BBGKY hierarchy solution in cumulant representation |
| title_fullStr | On the property of the BBGKY hierarchy solution in cumulant representation |
| title_full_unstemmed | On the property of the BBGKY hierarchy solution in cumulant representation |
| title_short | On the property of the BBGKY hierarchy solution in cumulant representation |
| title_sort | on the property of the bbgky hierarchy solution in cumulant representation |
| topic | BBGKY hierarchy of equations nonsymmetric system cumulant (semi-invariant) equilibrium distribution functions |
| url | http://www.opuscula.agh.edu.pl/vol29/2/art/opuscula_math_2918.pdf |
| work_keys_str_mv | AT mykhailoostashenko onthepropertyofthebbgkyhierarchysolutionincumulantrepresentation AT halynamhubal onthepropertyofthebbgkyhierarchysolutionincumulantrepresentation |