No coin nor oath required. For personal study only.
A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is shown how all the thermodynamic properties may be calculated exactly. In the thermodynamic limit (taken with fixed potentials) the model is found to exhibit a range of phase transitions from a gas-like to a liquid-like phase. When the transition is first order, the gas-like side of the vapor pressure curve is marked by an essential singularity through which the isotherms cannot be continued. In other regions the phase boundary can represent a higher-order transition (with continuous compressibility) or, for certain potentials, an infinite order transition across which all thermodynamic derivatives remain continuous. A great variety of critical point behavior can occur: This is studied in a following article.
๐ SIMILAR VOLUMES
A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is sho
A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is sho