A mean-field version of a simplified model for liquid metals, which consists of a lattice gas of atoms and a collection of spinless fermions that are free to hop among occupied atomic sites, is solved exactly. Phase diagrams and phase transition properties are studied for two special cases. It...

A statistical mechanical model of cell membrane ion channels is proposed which incorporates interactions between ion channels and external electric fields. The model provides a physical explanation of trans-membrane ion transport. Under a mean-field approximation, the maximum fractions of open...

A lattice-gas model, which has conductors connecting each pair of occupied nearest-neighbour sites, is studied using Monte-Carlo simulations. At low temperatures, the lattice-gas atomic density approaches unity and the system is in a high-conductivity state. At high temperatures, the lattice-gas...

The possibility of a phase transition in the strongly correlated infinite dimensional spinless Falicov-Kimball model, with hopping interaction scaled by D−1/2, is studied using high-temperature expansions. The Gibbs free energy is expanded to order T−10. From Padé and other methods of...