Random Distribution

With a random distribution where $p_+ = p_- = \htfrac{1}{2}$ for all particles,

$$v(Q) = 1$$

$$v(R) = 4 \quad \mt{(asymptotically)}$$

$$\Gamma = 1$$

$$\nu_{dyn} =$$ 0

For $v(Q)$, $\Gamma$ and $\nu _{dyn}$ this value is independent of $\Delta\varphi$, while $v(R)$ show some discrepancies for small $\Delta\varphi$, i.e. at low multiplicity. $v(R)$ is also strongly affected by an asymmetry in charge, $\varepsilon \neq 0$, which is clearly seen in fig. 3.1.

Figure 3.1: $v(R)$ strongly depends on $\varepsilon$.