Equation of state for the two component Van der Waals gas with relativistic excluded volumes

  • A canonical partition function for the two-component excluded volume model is derived, leading to two di erent van der Waals approximations. The one is known as the Lorentz-Berthelot mixture and the other has been proposed recently. Both models are analysed in the canonical and grand canonical ensemble. In comparison with the one-component van der Waals excluded volume model the suppression of particle densities is reduced in these two-component formulations, but in two essentially di erent ways. Presently used multi-component models have no such reduction. They are shown to be not correct when used for components with di erent hard-core radii. For high temperatures the excluded volume interaction is refined by accounting for the Lorentz contraction of the spherical excluded volumes, which leads to a distinct enhancement of lighter particles. The resulting e ects on pion yield ratios are studied for AGS and SPS data.

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Metadaten
Author:Gebhard ZeebGND, Kyrill A. BugaevORCiD, Philipp Tim ReuterGND, Horst StöckerORCiDGND
URN:urn:nbn:de:hebis:30-21150
Document Type:Preprint
Language:English
Date of Publication (online):2005/11/15
Year of first Publication:2002
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2005/11/15
Tag:Equation of State; Relativistic Excluded Volumes; Two-component and Multi-component Hadron Gas; Van der Waals Excluded Volume Model
HeBIS-PPN:[nucl-th/0209011]
HeBIS-PPN:18574611X
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoDeutsches Urheberrecht