Hydrodynamic limits for a two-species reaction-diffusion process

نویسندگان

چکیده

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

Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process

We study the single-species diffusion-annihilation process with a time-dependent reaction rate, λ(t) = λ0 t−ω . Scaling arguments show that there is a critical value of the decay exponent ωc(d) separating a reaction-limited regime for ω > ωc from a diffusion-limited regime for ω < ωc. The particle density displays a mean-field, ω-dependent, decay when the process is reaction-limited whereas it ...

متن کامل

Hydrodynamic Limits for the Monomer-Dimer Surface Reaction: Chemical Diffusion, Wave Propagation, and Equistability

For finite adspecies mobility, the lattice-gas monomer-dimer (AϩB 2) surface reaction model exhibits a discontinuous transition from a stable reactive steady state to a stable A-poisoned steady state, as the impinge-ment rate P A for A increases above a critical value P*. The reactive ͑poisoned͒ state is metastable for P A just above ͑below͒ P*. Increasing the surface mobility of A enhances metasta...

متن کامل

Spreading of infection in a two species reaction-diffusion process in networks.

We study the dynamics of the infection of a two mobile species reaction from a single infected agent in a population of healthy agents. Historically, the main focus for infection propagation has been through spreading phenomena, where a random location of the system is initially infected and then propagates by successfully infecting its neighbor sites. Here both the infected and healthy agents ...

متن کامل

Fast-reaction asymptotics for a two-scale reaction-diffusion system

We investigate a reaction–diffusion process in a two-phase medium with microscopic length scale ε. The diffusion coefficients in the two phases are highly different (d1/D = ε2) and the reaction constant k is large. First, the homogenisation limit ε → 0 is taken, which leads to a two-scale model. Afterwards, we pass to the fast-reaction limit k →∞ and obtain a two-scale reaction-diffusion system...

متن کامل

Hydrodynamic Limits

This article reviews recent progress on the derivation of the fundamental PDE models in fluid mechanics from the Boltzmann equation.

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: The Annals of Applied Probability

سال: 2000

ISSN: 1050-5164

DOI: 10.1214/aoap/1019737668