This article is cited in 5 scientific papers (total in 5 papers)
To construction entropic transport model based on the formalism of nonextensive statistics
A. V. Kolesnichenko
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
The paper offers a new approach to transport entropy models of allocation based on the formalism of nonextensive statistics. As an example, we constructed a entropy simple model for the single-purpose trips and for a homogeneous group of cars. The developed approach allows to model more complex communications systems (including urban and regional systems for vehicles), which are not described by the Gibbs distribution. The basis of this research is nonextensive Tsallis entropy, and distribution, which are dependent on the actual number $q$, which is a measure of non-additive complex socio-economic systems.
entropy Tsallis, nonadditive statistics, entropy modeling of complex systems, entropy transport models.
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Mathematical Models and Computer Simulations, 2014, 6:6, 587–597
A. V. Kolesnichenko, “To construction entropic transport model based on the formalism of nonextensive statistics”, Matem. Mod., 26:5 (2014), 48–64; Math. Models Comput. Simul., 6:6 (2014), 587–597
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\paper To construction entropic transport model based on the formalism of nonextensive statistics
\jour Matem. Mod.
\jour Math. Models Comput. Simul.
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A. V. Kolesnichenko, “Modifikatsiya v ramkakh neadditivnoi statistiki Tsallisa kriteriev gravitatsionnoi neustoichivosti astrofizicheskikh diskov”, Matem. modelirovanie, 28:3 (2016), 96–118
Kolesnichenko A.V., “Criterion of Thermal of Stability and the Law of Distribution of Particles For Self-Gravitating Astrophysical Systems Within the Tsallis Statistics”, Math. Montisnigri, 37 (2016), 43–75
A. V. Kolesnichenko, “Power distributions for self-gravitating astrophysical systems based on nonextensive Tsallis kinetics”, Solar Syst. Res., 51:2 (2017), 127–144
A. V. Kolesnichenko, “Two-parameter functional of entropy Sharma-Mittal as the basis of the family of generalized thermodynamices of non-extensive systems”, Math. Montisnigri, 42 (2018), 74–101
Kolesnichenko V A., “To the Substantiation in the Framework of Nonextensive Tsallis Statistics of Onsager'S Reciprocity Relations For Kinetic Coefficients”, Math. Montisnigri, 44 (2019), 41–59
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