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- W3100720138 abstract "In a recent paper published in this journal [J. Phys. A: Math. Theor. 42 (2009) 495004] we studied a one-dimensional particles system where nearest particles attract with a force inversely proportional to a power alpha of their distance and coalesce upon encounter. Numerics yielded a distribution function h(z) for the gap between neighbouring particles, with h(z)=z^{beta(alpha)} for small z and beta(alpha)>alpha. We can now prove analytically that in the strict limit of zto 0, beta=alpha for alpha>0, corresponding to the mean-field result, and we compute the length scale where mean-field breaks down. More generally, in that same limit correlations are negligible for any similar reaction model where attractive forces diverge with vanishing distance. The actual meaning of the measured exponent beta(alpha) remains an open question." @default.
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- W3100720138 title "Small-scale behaviour in deterministic reaction models" @default.
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