A stochastic derivation of the multivariate master equation describing reaction diffusion systems

1982 ◽  
Vol 90 (3) ◽  
pp. 119-122 ◽  
Author(s):  
C. van den Broeck
Keyword(s):  
Master Equation ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Multivariate Master Equation

GENERALIZED MASTER EQUATION FOR NON-EXTENSIVE REACTION-DIFFUSION SYSTEMS

2007 ◽  
Vol 21 (02n03) ◽  
pp. 103-108 ◽  
Author(s):  
JUNLIN WU ◽  
HUAIJUN CHEN
Keyword(s):  
Distribution Function ◽  
Master Equation ◽  
Probability Distribution Function ◽  
Density Operator ◽  
Reaction Diffusion ◽  
Phenomenological Theory ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
New Equation ◽  
Generalized Master Equation

Based on the theory of non-equilibrium statistics and density operator equation, the generalized master equation satisfied by characteristic function for the non-extensive reaction-diffusion systems affected by pressure is derived by calculating the time variation of probability distribution function, where the pressure of the non-extensive systems is given in the framework of Tsallis statistics. This new equation not only depends on the non-extensive parameter but also has more nonlinear terms as compared with the master equation in the phenomenological theory and thus has more generality.

scholarly journals Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

2021 ◽  
Vol 126 (10) ◽  
Author(s):  
Fridtjof Brauns ◽  
Henrik Weyer ◽  
Jacob Halatek ◽  
Junghoon Yoon ◽  
Erwin Frey
Keyword(s):  
Reaction Diffusion ◽  
Wavelength Selection ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems
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