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- W1640672854 abstract "The spatial distribution of persistent (unvisited) sites in one dimensional $A+Atoemptyset$ model is studied. The `empty interval distribution' $n(k,t)$, which is the probability that two consecutive persistent sites are separated by distance $k$ at time $t$ is investigated in detail. It is found that at late times this distribution has the dynamical scaling form $n(k,t)sim t^{-theta}k^{-tau}f(k/t^{z})$. The new exponents $tau$ and $z$ change with the initial particle density $n_{0}$, and are related to the persistence exponent $theta$ through the scaling relation $z(2-tau)=theta$. We show by rigorous analytic arguments that for all $n_{0}$, $1< tau< 2$, which is confirmed by numerical results." @default.
- W1640672854 created "2016-06-24" @default.
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- W1640672854 date "1999-01-14" @default.
- W1640672854 modified "2023-09-27" @default.
- W1640672854 title "Dynamic scaling in the spatial distribution of persistent sites" @default.
- W1640672854 hasPublicationYear "1999" @default.
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