Nonequilibrium phase transition in a spreading process on a timeline

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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24 pages, 8 figures

Scientific paper

10.1088/1742-5468/2009/02/P02020

We consider a nonequilibrium process on a timeline with discrete sites which evolves by a non-Markovian update rule in such a way that an active site at time t activates one or several sites in the future at time t+dt. The time intervals dt are distributed algebraically as dt^(-1-kappa), where 0

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