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- W3111379400 abstract "Equation of state with quantum statistics corrections is derived for a multi-component gas of particles interacting through the repulsive and attractive van der Waals (vdW) forces up to first few orders over a small parameter $delta approx hbar^3 n(mT)^{-3/2}[g(1- bn)]^{-1}$, where $n$ and $T$ are the particle number density and temperature, $m$ and $g$ the particle mass and degeneracy factor. The parameter $b$ corresponds to the vdW excluded volume. For interacting system of Fermi nucleon and Bose $alpha$ particles, a small impurity of $alpha$ particles to the nucleon system at leading first order in both $alpha $ particle and nucleon small parameters $delta $ does not change much the basic results for the symmetric nuclear matter. Quantum statistics corrections lead to a dramatic behavior of fluctuations of particle number $omega$ near the critical temperature and particle density in the case of symmetric nuclear matter. The isothermal in-compressibility $mathcal{K}(n,T)$ which determines these fluctuations $omega$ can be well approximated by the main first non-zero terms in its expansion as function of the both $n$ and $T$ variables in a small vicinity of the critical point. Our approximate analytical results appear to be in good agreement with the accurate numerical calculations." @default.
- W3111379400 created "2020-12-21" @default.
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- W3111379400 date "2020-12-18" @default.
- W3111379400 modified "2023-09-27" @default.
- W3111379400 title "Quantum statistics effects and fluctuations of particle numbers near the critical point of nuclear matter" @default.
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