RT Journal Article T1 Eta/s and phase transitions A1 Dobado González, Antonio A1 Llanes Estrada, Felipe José A1 Torres Rincón, Juan Miguel AB We present a calculation of eta/s for the meson gas (zero baryon number), with the viscosity computed within unitarized next-to-leading-order chiral perturbation theory, and confirm the observation that eta/s decreases towards the possible phase transition to a quark-gluon plasma/liquid. The value is somewhat higher than previously estimated in leading-order chi PT. We also examine the case of atomic Argon gas to check the discontinuity of eta/s across a first-order phase transition. Our results suggest employing this dimensionless number, sometimes called KSS number (in analogy with other ratios in fluid mechanics such as Reynolds number or Prandtl number) to pin down the phase transition and critical end point to a crossover in strongly interacting nuclear matter between the hadron gas and quark and gluon plasma/liquid. PB American Physical Society SN 1550-7998 YR 2009 FD 2009-01-07 LK https://hdl.handle.net/20.500.14352/43822 UL https://hdl.handle.net/20.500.14352/43822 LA eng NO © 2009 The American Physical Society. We thank useful conversations and exchanges on eta/s with Jochen Wambach, Juan Maldacena, Dam Son, and Tom Cohen. This work has been supported by Grant Nos. FPA 2004-02602, 2005-02327, BSCH-PR34/0715875 (Spain) DS Docta Complutense RD 5 abr 2025