Subdiffusive Reaction Model of Molecular Species in Liquid Layers: Fractional Reaction-Telegraph Approach

نویسندگان

چکیده

In recent years, different experimental works with molecular simulation techniques have been developed to study the transport of plasma-generated reactive species in liquid layers. Here, we improve classical model that describes movement layers via considering fractional reaction–telegraph equation. We considered equation describe a non-Brownian motion layer, which diffusivities. The analytical solution equation, is defined terms Caputo derivative, obtained by using Laplace–Fourier technique. profiles density mean square displacement are discussed each case for values time-fractional order and relaxation time.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiple solutions of the nonlinear reaction-diusion model with fractional reaction

The purpose of this letter is to revisit the nonlinear reaction-diusion modelin porous catalysts when reaction term is fractional function of the concen-tration distribution of the reactant. This model, which originates also in uidand solute transport in soft tissues and microvessels, has been recently givenanalytical solution in terms of Taylors series for dierent family of reactionterms. We a...

متن کامل

multiple solutions of the nonlinear reaction-di usion model with fractional reaction

the purpose of this letter is to revisit the nonlinear reaction-di usion modelin porous catalysts when reaction term is fractional function of the concen-tration distribution of the reactant. this model, which originates also in uidand solute transport in soft tissues and microvessels, has been recently givenanalytical solution in terms of taylors series for di erent family of reactionterms. we...

متن کامل

Fractional reaction–di usion

We derive a fractional reaction–di usion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction–di usion phenomena with anomalous di usion such as occurs in spatially inhomogeneous environments. As a rst investigation of this equation we consider the special case of single species fractional reaction–di usion in one...

متن کامل

Fractional reaction-diffusion equation for species growth and dispersal

Reaction-diffusion equations are commonly used to model the growth and spreading of biological species. The classical diffusion term implies a Gaussian dispersal kernel in the corresponding integro-difference equation, which is often unrealistic in practice. In this paper, we propose a fractional reaction-diffusion equation where the classical second derivative diffusion term is replaced by a f...

متن کامل

Complex reaction noise in molecular quasispecies model

We have derived exact Langevin equations for a model of quasispecies dynamics. The inherent multiplicative reaction noise is complex and its statistical properties are specified completely. The numerical simulation of the complex Langevin equations is carried out using the Cholesky decomposition for the noise covariance matrix. This internal noise, which is due to diffusion-limited reactions, p...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Fractal and fractional

سال: 2021

ISSN: ['2504-3110']

DOI: https://doi.org/10.3390/fractalfract5020051