Invasionwaveinduced firstorder phase transition in systems of active particles
Abstract
An instability near the transition to collective motion of selfpropelled particles is studied numerically by Enskoglike kinetic theory. While hydrodynamics breaks down, the kinetic approach leads to steep solitonlike waves. These supersonic waves show hysteresis and lead to an abrupt jump of the global order parameter if the noise level is changed. Thus they provide a meanfield mechanism to change the secondorder character of the phase transition to first order. The shape of the wave is shown to follow a scaling law and to quantitatively agree with agentbased simulations.
 Publication:

Physical Review E
 Pub Date:
 October 2013
 DOI:
 10.1103/PhysRevE.88.040303
 arXiv:
 arXiv:1304.0149
 Bibcode:
 2013PhRvE..88d0303I
 Keywords:

 02.70.Ns;
 05.20.Dd;
 64.60.Cn;
 87.10.e;
 Molecular dynamics and particle methods;
 Kinetic theory;
 Orderdisorder transformations;
 statistical mechanics of model systems;
 General theory and mathematical aspects;
 Physics  Biological Physics;
 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 Phys. Rev. E 88, 040303 (2013)