Anomalously slow attrition times for asymmetric populations with internal group dynamics

Details Anomalously slow attrition times for asymmetric populations with internal group dynamics Anomalously slow attrition times for asymmetric populations with internal group dynamics

2009-10-08

arxiv.org/abs/0910.1622v1

Phys. Rev. Lett. 103, 148701 (2009)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

The many-body dynamics exhibited by living objects include group formation within a population, and the non-equilibrium process of attrition between two opposing populations due to competition or conflict. We show analytically and numerically that the combination of these two dynamical processes generates an attrition duration T whose nonlinear dependence on population asymmetry x is in stark contrast to standard mass-action theories. A minority population experiences a longer survival time than two equally balanced populations, irrespective of whether the majority population adopts such internal grouping or not. Adding a third population with pre-defined group sizes allows T(x) to be tailored. Our findings compare favorably to real-world observations.

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