Geodesic
Toy model of a~Boltzmann-type equation for the~ contact
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 2, pp. 257-262

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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. 
@article{TMF_2022_212_2_a5,
     author = {D. V. Grinev},
     title = {Toy model of {a~Boltzmann-type} equation for the~ contact},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {257--262},
     publisher = {mathdoc},
     volume = {212},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a5/}
}
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D. V. Grinev. Toy model of a~Boltzmann-type equation for the~ contact. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 2, pp. 257-262. http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a5/