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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 2, Pages 257–262
DOI: https://doi.org/10.4213/tmf10271 (Mi tmf10271) 		 
Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles

D. V. Grinev

Center of Integrable Systems, Demidov Yaroslavl State University, Yaroslavl, Russia
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DOI: https://doi.org/10.4213/tmf10271
Abstract: The packing of hard-core particles in contact with their neighbors is considered as the simplest model of disordered particulate media. We formulate the statically determinate problem that allows analytic investigation of the statistical distribution of the contact force magnitude. A toy model of the Boltzmann-type equation for the contact force distribution probability is formulated and studied. An experimentally observed exponential distribution is derived.
Keywords: contact force distribution, Boltzmann equation, packings of particles.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-886
The work was carried out within the framework of a development program for the Regional Scientific and Educational Mathematical Center of the Demidov Yaroslavl State University with financial support from the Ministry of Science and Higher Education of the Russian Federation (Agreement on provision of subsidy from the federal budget No. 075-02-2022-886).
Received: 25.02.2022
Revised: 10.04.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 2, Pages 1111–1115
DOI: https://doi.org/10.1134/S0040577922080062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Grinev, “Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles”, TMF, 212:2 (2022), 257–262; Theoret. and Math. Phys., 212:2 (2022), 1111–1115
Citation in format AMSBIB
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\by D.~V.~Grinev
\paper Toy model of a~Boltzmann-type equation for the~ contact
force distribution in disordered packings of particles
\jour TMF
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\vol 212
\issue 2
\pages 257--262
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\crossref{https://doi.org/10.4213/tmf10271}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1111G}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 2
\pages 1111--1115
\crossref{https://doi.org/10.1134/S0040577922080062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136728048}
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  • https://www.mathnet.ru/eng/tmf/v212/i2/p257
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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