Self-propelled Vicsek particles at low speed and low density

TOMAS S. GRIGERA; ANDRES DE VIRGILIIS; M. L. RUBIO PUZZO

Buenos Aires

Conferencia; StatPhys 27 Conference; 2019

StatPhys

We study through numerical simulation theVicsek model for very low speeds and densities. We consider scalarnoise in 2-d and 3-d, and vector noise in 3-d. We focus on thebehavior of the critical noise with density and speed, trying toclarify seemingly contradictory earlier results. We find that, forscalar noise, the critical noise is a power law both in density andspeed, but although we confirm the density exponent in 2-d, we find aspeed exponent different from earlier reports (we consider lowerspeeds than previous studies). On the other hand, for the vectornoise case we find that the dependence of the critical noise cannotbe separated as a product of power laws in speed and density. Finally, we study the dependence of the relaxation time with speed. At the critical point we find a power law, with the same exponent in2-d and 3-d.p { margin-bottom: 0.25cm; direction: ltr; color: rgb(0, 0, 10); line-height: 120%; text-align: left; }p.western { font-family: "Arial", serif; font-size: 12pt; }p.cjk { font-family: "Noto Sans CJK SC"; font-size: 12pt; }p.ctl { font-family: "FreeSans"; font-size: 12pt; }a:link { color: rgb(0, 0, 255); }