TY - JOUR
A1 - Neumann, Hans Peter
T1 - The equation of state for a one-component system
T2 - Zeitschrift für Naturforschung, A
N2 - The cooperative problem for a lattice gas on a plane, square lattice and on a simple cubic lattice is solved by a system of two coupled, transcendental equations, derived by a combinatorial method, which describes a homogeneous or periodical particle density on the lattice as a function of the temperature and the chemical potential of the lattice-gas.
For the particle interaction a Hard-Core potential (nearest neighbour exclusion) with a soft long-range tail is assumed. The zero-component of the Fourier-transform of this long-range interaction part can be positive or negative.
The system of transcendental equations is solved by a graphic method. As a result, the complete pressure-density state diagram and the pressure-temperature phase diagram can be drawn.
The lattice-gas exists in three stable phases: gas, liquid and solid. Three phase changes are possible: condensation, crystallization and sublimation.
Critical points of condensation and freezing are examined. The number of possible phases and phase changes at a fixed temperature depends on the geometric structure of the particle interaction.
Y1 - 2014
UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/73986
UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-739864
SN - 1865-7109
VL - 29
IS - 1
SP - 65
EP - 74
PB - Verlag der Zeitschrift für Naturforschung
CY - Tübingen
ER -