%0 Book Section %1 statphys23_0420 %A Gönci, B. %A Nagy, M. %A Vicsek, T. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K collective flocking motion particles phase self-propelled statphys23 topic-11 transitions %T Velocity dependence of the phase transition in the scalar noise model of self-propelled particles in 3d %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=420 %X We study the nature of phase transition in 3D flocking using the scalar noise model (SNM) extended to three dimensions. In two dimensions it was showed by Vicsek et al. Phys. Rev. Lett. 75 (1995) 1226 the phase transition is second order, but in spite of this results the behaviour of the model can be different in higher dimensions. Investigating the Binder Cumulant we find that the disorder-order phase transition is continous for small particle velocities ($v0.1$). Increasing the particle velocities we observe that the phase transition changes to first order. In addition, for these particle velocities we find an anisotropy in the particle diffusion in contrast with the isotropic diffusion for small velocities. This is the likely reason for an artifical simmetry breaking caused by the periodic boundary conditions. These results are analogous to those obtained for the two dimensions, thus it is not possible to make conclusion about the nature of phase transition for higher particle velocities in three dimension either.

@incollection{statphys23_0420, abstract = {We study the nature of phase transition in 3D flocking using the scalar noise model (SNM) extended to three dimensions. In two dimensions it was showed by Vicsek et al. [Phys. Rev. Lett. 75 (1995) 1226] the phase transition is second order, but in spite of this results the behaviour of the model can be different in higher dimensions. Investigating the Binder Cumulant we find that the disorder-order phase transition is continous for small particle velocities ($v\leq 0.1$). Increasing the particle velocities we observe that the phase transition changes to first order. In addition, for these particle velocities we find an anisotropy in the particle diffusion in contrast with the isotropic diffusion for small velocities. This is the likely reason for an artifical simmetry breaking caused by the periodic boundary conditions. These results are analogous to those obtained for the two dimensions, thus it is not possible to make conclusion about the nature of phase transition for higher particle velocities in three dimension either.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Gönci, B. and Nagy, M. and Vicsek, T.}, biburl = {https://www.bibsonomy.org/bibtex/25220516260402086cadc607a32396818/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ba2d8415cae4b9709d54326660de8e1c}, intrahash = {5220516260402086cadc607a32396818}, keywords = {collective flocking motion particles phase self-propelled statphys23 topic-11 transitions}, month = {9-13 July}, timestamp = {2007-06-20T10:16:19.000+0200}, title = {Velocity dependence of the phase transition in the scalar noise model of self-propelled particles in 3d}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=420}, year = 2007 }