Discontinuous phase transition in chemotactic aggregation with density-dependent pressure
Abstract
Many small organisms such as bacteria can attract each other by depositing chemical attractants. At the same time, they exert repulsive force on each other when crowded, which can be modeled by effective pressure as an increasing function of the organisms' density. As the chemical attraction becomes strong compared to the effective pressure, the system will undergo a phase transition from homogeneous distribution to aggregation. In this work, we...
Paper Details
Title
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure
Published Date
Aug 23, 2019
Journal
Volume
100
Issue
2
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