The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres

Details The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres

2006-11-29

arxiv.org/abs/nucl-th/0611102v2

Nucl. Phys. A 807, (2008) No 3-4, 251-268.

Physics

Nuclear Physics

Nuclear Theory

19 pages, 4 figures. The notations are simplified, typos is corrected, a discussion on effective temperature is added

Scientific paper

10.1016/j.nuclphysa.2008.04.007

The relativistic equation of state (EOS) of the Van-der-Waals gas is suggested and analyzed. In contrast to the usual case, the Lorentz contraction of the sphere's volume is taken into account. It is proven that the suggested EOS obeys the causality in the limit of high densities, i.e., the value of sound velocity of such a media is subluminar. The pressure obtained for the high values of chemical potential has an interesting kinetic interpretation. The suggested EOS shows that for high densities the most probable configuration corresponds to the smallest value of the relativistic excluded volume. In other words, for high densities the configurations with the collinear velocities of the neighboring hard core particles are the most probable ones. This, perhaps, may shed light on the coalescence process of any relativistic hard core constituents.

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