251 citations · 1.6k across the 34 of their papers we have counts for
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The active Boltzmann equation: From dilute collisions to exact kinetic theory
Thomas Ihle, Horst-Holger Boltz, Rüdiger Kürsten +1
We construct an exact kinetic theory for dilute aligning self-propelled particles by closing the BBGKY hierarchy non-locally, retaining the pair correlations during each collision.…
Giant Kovacs-Like Memory Effect for Active Particles
Rüdiger Kürsten, Vladimir Sushkov, Thomas Ihle
Dynamical properties of a Vicsek-like gas of self-propelled particles are investigated by means of kinetic theory and agent based simulations. While memory effects have been observ…
Critical assessment of von Mises distribution and an infinite series ansatz for self-propelled particles
Rüdiger Kürsten, Thomas Ihle
We consider a Vicsek model of self-propelled particles with bounded confidence, where each particle interacts only with neighbors that have a similar direction. Depending on parame…
Chapman-Enskog expansion for the Vicsek model of self-propelled particles
Thomas Ihle
Using the standard Vicsek model, I show how the macroscopic transport equations can be systematically derived from microscopic collision rules. The approach starts with the exact e…
Large density expansion of a hydrodynamic theory for self-propelled particles
Thomas Ihle
Recently, an Enskog-type kinetic theory for Vicsek-type models for self-propelled particles has been proposed [T. Ihle, Phys. Rev. E 83, 030901 (2011)]. This theory is based on an…
Active matter beyond mean-field: Ring-kinetic theory for self-propelled particles
Yen-Liang Chou, Thomas Ihle
A ring-kinetic theory for Vicsek-style models of self-propelled agents is derived from the exact N-particle evolution equation in phase space. The theory goes beyond mean-field and…