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We study a subdiffusion-reaction system with initially separated reactants in the case where one of the reactants is static. Using the scaling method we show that the reaction front xf evolves in… (More)

- Tadeusz Kosztołowicz, Katarzyna D. Lewandowska
- Physical review. E, Statistical, nonlinear, and…
- 2012

We study the similarities and differences between different models concerning subdiffusion. More particularly, we calculate first passage time (FPT) distributions for subdiffusion, derived from… (More)

- Tadeusz Kosztołowicz
- The Journal of chemical physics
- 2017

Subdiffusion with reaction A+B→B is considered in a system which consists of two homogeneous media joined together; the A particles are mobile, whereas B are static. Subdiffusion and reaction… (More)

- Tadeusz Kosztołowicz, Kazimierz Dworecki, St Mrówczyński
- Physical review. E, Statistical, nonlinear, and…
- 2005

We propose a method to extract from experimental data the subdiffusion parameter alpha and subdiffusion coefficient D(alpha) which are defined by means of the relation x(2) = [2 D(alpha) /Gamma… (More)

- Tadeusz Kosztołowicz, Katarzyna D. Lewandowska
- Physical review. E, Statistical, nonlinear, and…
- 2008

Using the quasistatic approximation, we show that in a subdiffusion-reaction system with arbitrary nonzero values of subdiffusion coefficients, the reaction front x_{f}(t) evolves in time as… (More)

- Tadeusz Kosztołowicz, Sławomir Wa̧sik, Katarzyna D. Lewandowska
- Physical review. E
- 2017

We present a method of deriving a boundary condition for diffusion at a thin membrane from experimental data. Based on experimental results obtained for normal diffusion of ethanol in water, we show… (More)

- Tadeusz Kosztołowicz, Katarzyna D. Lewandowska
- Physical review. E, Statistical, nonlinear, and…
- 2014

We consider the subdiffusion-reaction process with reactions of a type A+B→B (in which particles A are assumed to be mobile, whereas B are assumed to be static) in comparison to the… (More)

- Tadeusz Kosztołowicz, Kazimierz Dworecki, Katarzyna D. Lewandowska
- Physical review. E, Statistical, nonlinear, and…
- 2012

We study both theoretically and experimentally a process of subdiffusion in a system with two thin membranes. The theoretical model uses Green's functions obtained for the membrane system by means of… (More)

We present a new method of deriving a boundary condition at a thin membrane for diffusion from experimental data. Based on experimental results obtained for normal diffusion of ethanol in water, we… (More)

- Tadeusz Kosztołowicz, Kazimierz Dworecki, St Mrówczyński
- Physical review letters
- 2005

We propose a method to measure the subdiffusion parameter alpha and subdiffusion coefficient Dalpha which are defined by means of the relation chi2 = 2Dalpha / Gamma(1+alpha)(t alpha), where chi2… (More)