In studies of nonequilibrium phase transitions, many different forms of local interactions have been investigated. But how do long-ranged interactions influence the critical dynamics of a colony of active agents? In order to study this question, we analyze the critical dynamics of reproducing agents subject to long-range chemical interactions and limited resources. Specifically, we study a model of chemically interacting agents, whose population dynamics are accounted for by Fisher-Kolmogorov dynamics. The chemotactic interaction is modeled by Keller-Segel like active motion, i.e., the agents are assumed to preferably move along gradients in a chemical field sourced by themselves.
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