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- W2061489621 abstract "We present the growth dynamics of an island of particles $A$ injected from a localized $A$-source into the sea of particles $B$ and dying in the course of diffusion-controlled annihilation $A+Bto 0$. We show that in the 1d case the island unlimitedly grows at any source strength $Lambda$, and the dynamics of its growth {it does not depend} asymptotically on the diffusivity of $B$ particles. In the 3d case the island grows only at $Lambda > Lambda_{c}$, achieving asymptotically a stationary state ({it static island}). In the marginal 2d case the island unlimitedly grows at any $Lambda$ but at $Lambda < Lambda_{*}$ the time of its formation becomes exponentially large. For all the cases the numbers of surviving and dying $A$ particles are calculated, and the scaling of the reaction zone is derived." @default.
- W2061489621 created "2016-06-24" @default.
- W2061489621 creator A5053927714 @default.
- W2061489621 date "2004-09-29" @default.
- W2061489621 modified "2023-09-25" @default.
- W2061489621 title "Diffusion-controlled annihilation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>: The growth of an<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>A</mml:mi><mml:mtext>−</mml:mtext></mml:mrow></mml:math>particle island from a localized<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline…" @default.
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- W2061489621 doi "https://doi.org/10.1103/physreve.70.032102" @default.
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