We consider disorder-order phase transitions in the three-dimensional version of thescalar noise model (SNM) of flocking. Our results are analogous to those foundfor the two-dimensional case [CITE]. For small velocity (v ≤0.1) a continuous, second-order phase transitionis observable, with the diffusion of nearby particles being isotropic. By increasing the particle velocities the phase transition changes to firstorder, and thediffusion becomes anisotropic. The first-order transition in the latter caseis probably caused by the interplay between anisotropic diffusion and periodic boundaryconditions, leading to a boundary condition dependent symmetrybreaking of the solutions.
ASJC Scopus subject areas
- Materials Science(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry