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2012 | 10 | 3 | 645-651
Tytuł artykułu

Conciliating the nonadditive entropy approach and the fractional model formulation when describing subdiffusion

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider here two different models describing subdiffusion. One of them is derived from Continuous Time Random Walk formalism and utilizes a subdiffusion equation with a fractional time derivative. The second model is based on Sharma-Mittal nonadditive entropy formalism where the subdiffusive process is described by a nonlinear equation with ordinary derivatives. Using these two models we describe the process of a substance released from a thick membrane and we find functions which determine the time evolution of the amount of substance remaining inside this membrane. We then find ‘the agreement conditions’ under which these two models provide the same relation defining subdiffusion and give the same function characterizing the process of the released substance. These agreement conditions enable us to determine the relation between the parameters occuring in both models.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
3
Strony
645-651
Opis fizyczny
Daty
wydano
2012-06-01
online
2012-06-17
Twórcy
  • Department of Radiological Informatics and Statistics, Medical University of Gdańsk, ul. Tuwima 15, 80-210, Gdańsk, Poland, kale@gumed.edu.pl
Bibliografia
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  • [18] T. Kosztołowicz, K. Dworecki, K. D. Lewandowska, arXiv:0809.1809v1 [cond-mat.soft]
  • [19] I. Podlubny, Fractional differential equations, (Academic Press, San Diego, 1999)
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  • [24] T. Kosztołowicz, K. D. Lewandowska, arXiv:1008.1477 [cond-mat.stat-mech]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0078-z
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