Abstract:
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.
Keywords:
entropy Tsallis, nonadditive statistics, entropy modeling of complex systems, entropy transport models.
Citation:
A. V. Kolesnichenko, “To construction entropic transport model based on the formalism of nonextensive statistics”, Mat. Model., 26:5 (2014), 48–64; Math. Models Comput. Simul., 6:6 (2014), 587–597
\Bibitem{Kol14}
\by A.~V.~Kolesnichenko
\paper To construction entropic transport model based on the formalism of nonextensive statistics
\jour Mat. Model.
\yr 2014
\vol 26
\issue 5
\pages 48--64
\mathnet{http://mi.mathnet.ru/mm3479}
\elib{https://elibrary.ru/item.asp?id=21826465}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 6
\pages 587--597
\crossref{https://doi.org/10.1134/S2070048214060052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925962059}
Linking options:
https://www.mathnet.ru/eng/mm3479
https://www.mathnet.ru/eng/mm/v26/i5/p48
This publication is cited in the following 17 articles:
Aleksandr Vladimirovich Kolesnichenko, Non-additive thermodynamics. Elements of theory and applications, 2024
A. V. Kolesnichenko, “Modification of Gravitational Instability Criteria for Astrophysical Disks within Nonadditive Thermodynamics”, Sol Syst Res, 57:7 (2023), 803
Yu. A. Antonov, V. I. Zakharov, N. A. Sukhareva, “Entropy Functionals and Information Difference of Satellite-Monitoring Time Series”, Cosmic Res, 61:6 (2023), 522
Yu. A. Antonov, V. I. Zakharov, N. A. Sukhareva, “Entropiinye funktsionaly i informatsiya razlichiya vremennykh ryadov sputnikovogo monitoringa”, Kosmičeskie issledovaniâ, 61:6 (2023), 498
A. V. Kolesnichenko, “Two-parameter entropy the Sharma–Mittal functional as core family of nonlinear Fokker–Planck–Kolmogorov equations”, Keldysh Institute preprints, 2021, 3–35
A. V. Kolesnichenko, “To the substantiation in the framework of nonextensive tsallis statistics of Onsager's reciprocity relations for kinetic coefficients”, Math. Montisnigri, 44 (2019), 41–59
A. V. Kolesnichenko, “To development of the non-additive thermodynamics of the quantum systems on basis statistics of tsallis”, Math. Montisnigri, 45 (2019), 26–51
A. V. Kolesnichenko, “To the construction of the thermodynamics of quantum nonextensive systems in the framework of the statistics of Tsallis”, Keldysh Institute preprints, 2019, 16–44
A. V. Kolesnichenko, “To the theory of linear response for quantum nonextensive system on dynamic external disturbance”, Keldysh Institute preprints, 2019, 19–24
A. V. Kolesnichenko, “Modeling of linear response for quantum nonextensive system on dynamic external disturbance”, Math. Models Comput. Simul., 12:5 (2020), 647–659
A. V. Kolesnichenko, “To the derivation of symmetry of matrix of kinetic coefficients Onsager in framework of the nonextensive statistical mechanics of Tsallis”, Keldysh Institute preprints, 2019, 15–24
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
A. V. Kolesnichenko, “Two-parameter functional of entropy Sharma–Mittal as the basis of the family of generalized thermodynamices of non-extensive systems”, Keldysh Institute preprints, 2018, 104–35
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, “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, “On the definition of the power-law of particle distribution and of the criterion of thermal stability for self-gravitating astrophysical systems within the limits of non-extensive kinetics”, Keldysh Institute preprints, 2016, 78–39
Citation in format AMSBIB
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