is proportional to the ratio of the ideal gas $j$th particle number density, $n_j^{id}$, to the total particle number density, $n_{tot}^{id}=\sum_in_i^{id}$. The largest suppression takes place for the total multiplicity, $\omega_{tot}\rightarrow 0$ at $v\sum_ix_i\rightarrow\infty$. This is in an agreement with the behavior of the scaled variance in one-component VDW gas at high particle number density.

For the correlators (\[NjVDW\]) in the VDW gas one obtains, [$$\begin{aligned}
 \label{VDW-corr}
\langle  \Delta N_j \Delta N_k \rangle ~=~  \langle N_j\rangle
~\left[~\delta_{jk}~ -~v~\frac{x_k~(2~+~v\sum_ix_i)}{\left(
1~+~v\sum_ix_i \right)^2}~\right]~.
 \end{aligned}$$]{} In contrast to the ideal HG result (\[jkcorr\]), the excluded volume effects lead to the (anti)correlation between different particle species, $j\neq k$, in the VDW gas seen from Eq. (\[VDW-corr\]). The physical origin of these anticorrelations is rather clear. The ‘large’ number of $j$th particles, $\Delta N_j>0$, reduces the available free space for $k$th particles. This makes preferable to have a ‘small’ number of $k$th particles, $\Delta N_k<0$, thus, leading to $\langle
\Delta N_j \Delta N_k \rangle<0$.

Using Eq. (\[VDW-corr\]) one finds the primordial fluctuations of the positively charged hadrons, $$\begin{aligned}
 \label{omega-plus-VDW}
\omega_+ ~&=~ \frac{\sum_{j,~q_j > 0}  \sum_{k,~q_k >0}~\langle
\Delta N_j \Delta N_k \rangle } {\sum_{i,~q_i>0} \langle
N_i\rangle}
\nonumber \\
&= ~1~ -~ v~ \left[ \sum_{j,q_j > 0} \sum_{k,q_k 