AUTHOR=Kim Jihwan , Kim Do-Hyun , Park Jeong-Hyuck 

TITLE=Janus van der waals equations for real molecules with two-sided phase transitions

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.917453

DOI=10.3389/fphy.2022.917453

ISSN=2296-424X

ABSTRACT=We obtain families of generalised van der Waals equations characterised by an even number (n=2,4,6) and  a continuous free parameter which is tunable for a critical compressibility factor. Each equation features two adjacent  critical points which have a common critical temperature Tc and arbitrarily close two critical densities. The critical phase transitions are naturally two-sided: the critical exponents are \alpha_P=\gamma_P=2/3, \beta_P=\delta^{-1}=1/3 for T>Tc and \alpha_P=\gamma_P=n/(n+1), \beta_P=\delta^{-1}=1/(n+1) for T