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- W2063886321 abstract "We investigate the kinetics of the $A+B to 0$ reaction with long-range attractive interaction $V(r) sim -r^{-2sigma}$ between $A$ and $B$ or with the drift velocity $v sim r^{-sigma}$ in one dimension, where $r$ is the closest distance between $A$ and $B$. It is analytically show that the dynamical exponents for density of particles ($rho$) and the size of domains ($ell$) continuously vary with $sigma$ when $sigma < sigma_c =/1/2$, while that for the distance between adjacent opposite species ($ell_{AB}$) varies when $sigma < sigma_c^{AB}= 7/6$. Beyond $sigma_c^{AB}$, diffusive motions dominate the kinetics, so that the dynamical behavior for diffusive systems is completely recovered. These anomalous behaviors with the two crossover values of $sigma$ are supported by numerical simulations and the argument of effective repulsion between the opposite species domains." @default.
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- W2063886321 date "2006-08-08" @default.
- W2063886321 modified "2023-10-02" @default.
- W2063886321 title "Continuously varying exponents in<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>reaction with long-ranged attractive interaction" @default.
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- W2063886321 doi "https://doi.org/10.1103/physreve.74.021109" @default.
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