Frequency-Dependent Selection at Rough Expanding Fronts

摘要: Microbial colonies are experimental model systems for studying the colonization of new territory by biological species through range expansion. We study a generalization two-species Eden model, which incorporates local frequency-dependent selection, in order to analyze how social interactions between two influence surface roughness growing microbial colonies. The includes several classical scenarios from game theory. then concentrate on an expanding public goods game, where either cooperators or defectors take over front depending system parameters. detail critical behavior nonequilibrium phase transition global cooperation and defection thereby identify universality class transitions dealing with absorbing states. At transition, number boundaries separating sectors decays novel power law time their superdiffusive motion crosses scaling nearly ballistic regime. In parallel, width initially obeys roughening and, at later times, passes selective roughening.