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- W3216383352 abstract "We study the contact process on layered networks in which each layer is unidirectionally coupled to the next layer. Each layer has elements sitting on i) Erd{o}s-R{'e}yni network, ii) a $d$-dimensional lattice. The layer at the top which is not connected to any layer. The top layer undergoes absorbing transition in the directed percolation class for the corresponding topology. The critical point for absorbing transition is the same for all layers. For Erdos-Reyni network order parameter $rho(t)$ decays as $t^{-delta_l}$ at the critical point for $l'$th layer with $delta_l sim 2^{1-l}$. This can be explained with a hierarchy of differential equations in the mean-field approximation. The dynamic exponent $z$ is $0.5$ for all layers and the value of $nu_{parallel}$ tends to 2 for larger $l$. For a d-dimensional lattice, we observe stretched exponential decay of order parameter for all but top layer at the critical point." @default.
- W3216383352 created "2021-12-06" @default.
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- W3216383352 date "2022-07-08" @default.
- W3216383352 modified "2023-10-14" @default.
- W3216383352 title "Absorbing phase transition in a unidirectionally coupled layered network" @default.
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- W3216383352 doi "https://doi.org/10.1103/physreve.106.014303" @default.
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