Vicsek model of self-propelled particles with hybrid noise

摘要

In self-propelled particle models, the interactions are generally subject to some type of noise, which is introduced either during or after the interactions between the particles. Here, self-propelled particles are subject to two different types of noise. If the orientation between them is less than a certain rate beta, a vectorial noise is introduced in each particle{particle interaction, otherwise, an angular noise is introduced in the average direction of motion, already calculated, of neighboring particles. We vary the rate beta over a wide range (beta < pi) and study the change in the nature of the phase transition. The productmoment correlation coefficient between the order parameter and the hybrid noise, is calculated. We found that in the combination of the two types of noise, the critical noise decreases with increasing the parameter beta, and by analysis of the Binder cumulant we estimate the value of fi as from which begins to appear the effects of the vectorial noise on the phase transition.