Front propagation up a reaction rate gradient
نویسندگان
چکیده
منابع مشابه
] 2 8 A ug 2 00 5 Front Propagation up a Reaction Rate Gradient
We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We study the system via reaction-diffusion equations, using the expedient of a cutoff in the reaction rate below some critical density to capture the essential role of fluctuations in the system. For large density, the vel...
متن کاملReaction front propagation in a turbulent flow.
The propagation of reaction fronts in a turbulent fluid flow is studied by direct numerical simulations in two space dimensions. The velocity field is obtained from integrating the Navier-Stokes equation in two dimensions. We investigate the structure of the reaction front and the enhancement of the front propagation speed due to turbulent mixing. Consistently with earlier theoretical, predicti...
متن کاملFront propagation and critical gradient transport models
This paper analyzes the properties of a two-field critical gradient model that couples a heat equation to an evolution equation for the turbulence intensity. It is shown that the dynamics of a perturbation is ballistic or diffusive depending on the shape of the pulse and also on the distance of the temperature gradient to the instability threshold. This dual character appears in the linear resp...
متن کاملFront propagation in A+B-->2A reaction under subdiffusion.
We consider an irreversible autocatalytic conversion reaction A+B-->2A under subdiffusion described by continuous-time random walks. The reactants' transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of ...
متن کاملFront propagation in a kinetic reaction-transport equation
In this paper, we study the existence and stability of travelling wave solutions of a kinetic reactiontransport equation. The model describes particles moving according to a velocity-jump process, and proliferating thanks to a reaction term of monostable type. The boundedness of the velocity set appears to be a necessary and sufficient condition for the existence of positive travelling waves. T...
متن کاملذخیره 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: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.72.066126