Examination of the thermodynamical consistency of excluded-volume hadron gas models

Abstract

The new excluded volume hadron gas model by is critically discussed. We demonstrate that in this model the results obtained from relations between thermodynamical quantities disagree with the corresponding results obtained by statistical ensemble averaging. Thus, the model does not satisfy the requirements of thermodynamical consistency.

Mean-field approach in the multi-component gas of interacting particles applied to relativistic heavy-ion collisions

“…The importance of thermodynamic consistency constraint in phenomenological excluded-volume models has recently been discussed in Ref. [20].…”

Production of Strange, Non-strange particles and Hypernuclei in an Excluded-Volume Model

“…To ensure strangeness conservation, we have imposed the condition of strangeness neutrality by considering i S i (n s i −n s i ) = 0 where S i is the strangeness of ith hadron. Recently, Gorenstein [4] has criticized our model on the basis of thermodynamical and statistical consistency and claimed that the thermodynamical average of number of baryons is not equal to its statistical average in our model. We calculate these two averages in our model and find a relationship between them as follows [5] :…”

Equation of state and sound velocity of a hadronic gas with a hard-core interaction

“…given by Eq. (13). According to (28), the entropy per particle σ = s/n is reduced due to hardcore interaction of nucleons.…”

“…Attempts to remove this drawback were made in Refs. [7,11] (see also [12,13]). Moreover, it will be shown below that the EVM becomes inaccurate at high densities when the total volume of constituents exceeds 10-20% of the 1 Units = c = 1 are used throughout the paper.…”