2 papers
cond-mat.stat-mech2019
Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model
Gyu Ho Bae, Seung Ki Baek
The Patlak-Keller-Segel equation describes the chemotactic interactions of small organisms in the continuum limit, and a singular peak appears through spontaneous aggregation when…
cond-mat.stat-mech2019
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure
Gyu Ho Bae, Seung Ki Baek
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…