Phase transition in the scalar noise model of collective motion in three dimensions

B. Gönci, M. Nagy, T. Vicsek

Research output: Contribution to journalArticle

22 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)53-59
Number of pages7
JournalEuropean Physical Journal: Special Topics
Issue number1
Publication statusPublished - Apr 1 2008


ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this