Spontaneously ordered motion of self-propelled particles
| dc.creator | Czirok, Andras | |
| dc.creator | Stanley, H. Eugene | |
| dc.creator | Vicsek, Tamas | |
| dc.date | 2006-11-29 | |
| dc.date.accessioned | 2026-07-07T07:31:31Z | |
| dc.date.available | 2026-07-07T07:31:31Z | |
| dc.description | We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally interact with their neighbors by choosing at each time step a velocity direction equal to the average direction of their neighbors. Thus, in the limit of vanishing velocities the model becomes analogous to a Monte-Carlo realization of the classical XY ferromagnet. We show by large-scale numerical simulations that, unlike in the equilibrium XY model, a long-range ordered phase characterized by non-vanishing net flow $ϕ$ emerges in this system in a phase space domain bordered by a critical line along which the fluctuations of the order parameter diverge. The corresponding phase diagram as a function of two parameters, the amplitude of noise $η$ and the average density of the particles $\varrho$ is calculated and is found to have the form $η_c(\varrho)\sim \varrho^{1/2}$. We also find that $ϕ$ scales as a function of the external bias $h$ (field or ``wind'') according to a power law $ϕ\sim h^{0.9}$. In the ordered phase the system shows long-range correlated fluctuations and $1/f$ noise. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0611741 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0611741 | |
| dc.identifier | J. Phys. A: Math. Gen. 30 1375-1385 (1997) | |
| dc.identifier | doi:10.1088/0305-4470/30/5/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118780 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Spontaneously ordered motion of self-propelled particles | |
| dc.type | text |