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- W3103497605 abstract "We study a two-species reaction-diffusion system with the reactions $A+Ato (0, A)$ and $A+Bto A$, with general diffusion constants $D_A$ and $D_B$. Previous studies showed that for dimensions $dleq 2$ the $B$ particle density decays with a nontrivial, universal exponent that includes an anomalous dimension resulting from field renormalization. We demonstrate via renormalization group methods that the $B$ particle correlation function has a distinct anomalous dimension resulting in the asymptotic scaling $C_{BB}(r,t) sim t^{phi}f(r/sqrt{t})$, where the exponent $phi$ results from the renormalization of the square of the field associated with the $B$ particles. We compute this exponent to first order in $epsilon=2-d$, a calculation that involves 61 Feynman diagrams, and also determine the logarithmic corrections at the upper critical dimension $d=2$. Finally, we determine the exponent $phi$ numerically utilizing a mapping to a four-walker problem for the special case of $A$ particle coalescence in one spatial dimension." @default.
- W3103497605 created "2020-11-23" @default.
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- W3103497605 date "2017-12-15" @default.
- W3103497605 modified "2023-10-11" @default.
- W3103497605 title "Anomalous dimension in a two-species reaction–diffusion system" @default.
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- W3103497605 doi "https://doi.org/10.1088/1751-8121/aa98cf" @default.
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