scholarly journals Entropy production in diffusion-reaction systems: The reactive random Lorentz gas

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
László Mátyás ◽  
Pierre Gaspard
Keyword(s):  
Entropy Production ◽  
Lorentz Gas ◽  
Diffusion Reaction ◽  
Reaction Systems

scholarly journals Fronts in anomalous diffusion–reaction systems

2013 ◽  
Vol 371 (1982) ◽  
pp. 20120179 ◽  
Author(s):  
V. A. Volpert ◽  
Y. Nec ◽  
A. A. Nepomnyashchy
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Reaction ◽  
Lévy Flights ◽  
Reaction Systems ◽  
Unstable Phase ◽  
Levy Flights ◽  
Recent Developments ◽  
Front Dynamics

A review of recent developments in the field of front dynamics in anomalous diffusion–reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.

A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems

2018 ◽  
Vol 35 (3) ◽  
pp. 1383-1401 ◽  
Author(s):  
Ram Jiwari ◽  
Stefania Tomasiello ◽  
Francesco Tornabene
Keyword(s):  
Linear Models ◽  
Differential Quadrature Method ◽  
Computational Modelling ◽  
Coupled System ◽  
Diffusion Reaction ◽  
Content Type ◽  
Reaction Systems ◽  
Brusselator Model ◽  
Advection Diffusion ◽  
Different Types

Purpose This paper aims to capture the effective behaviour of nonlinear coupled advection-diffusion-reaction systems and develop a new computational scheme based on differential quadrature method. Design/methodology/approach The developed scheme converts the coupled system into a system of ordinary differential equations. Finally, the obtained system is solved by a four-stage RK4 scheme. Findings The developed scheme helped to capture the different types of patterns of nonlinear time-dependent coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear model which are similar to the existing patterns of the models. Originality/value The originality lies in the fact that the developed scheme is new for coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear models. Second, the captured pattern is similar to the existing patterns of the models.

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