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An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and density dependent available-volume fractions. A parametrisation of this dependence is presented for which at low temperatures and suprasaturation densities a first-order phase transition is obtained. It changes for increasing temperatures to a crossoverdoi:10.3390/universe4020032 fatcat:rbahtejjkbab3luzkpw7snc3di