TY - JOUR
T1 - Global equation of state of two-dimensional hard sphere systems
AU - Luding, Stefan
PY - 2001/1/1
Y1 - 2001/1/1
N2 - Hard sphere systems in two dimensions are examined for arbitrary density. Simulation results are compared to the theoretical predictions for both the low- and the high-density limit, where the system is either disordered or ordered, respectively. The pressure in the system increases with the density, except for an intermediate range of volume fractions (Formula presented) where a disorder-order phase transition occurs. The proposed global equation of state (which describes the pressure for all densities) is applied to the situation of an extremely dense hard sphere gas in a gravitational field and shows reasonable agreement with both experimental and numerical data.
AB - Hard sphere systems in two dimensions are examined for arbitrary density. Simulation results are compared to the theoretical predictions for both the low- and the high-density limit, where the system is either disordered or ordered, respectively. The pressure in the system increases with the density, except for an intermediate range of volume fractions (Formula presented) where a disorder-order phase transition occurs. The proposed global equation of state (which describes the pressure for all densities) is applied to the situation of an extremely dense hard sphere gas in a gravitational field and shows reasonable agreement with both experimental and numerical data.
UR - http://www.scopus.com/inward/record.url?scp=0035304207&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.63.042201
DO - 10.1103/PhysRevE.63.042201
M3 - Article
AN - SCOPUS:0035304207
VL - 63
JO - Physical review E: covering statistical, nonlinear, biological, and soft matter physics
JF - Physical review E: covering statistical, nonlinear, biological, and soft matter physics
SN - 2470-0045
IS - 4
ER -