8 citations
2 papers
math.CA2014★ 1 cited
Anisotropic interactions in a first-order aggregation model: a proof of concept
Joep H. M. Evers, Razvan C. Fetecau, Lenya Ryzhik
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modelled by limited sensorial perception of ind…
math-ph2014★ 8 cited
Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries
Kiamars Vafayi, Manh Hong Duong
We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process (SIP) by coupling it to two particle-reservoirs at the two boundaries with slightly diff…