Phase diagram of the four-dimensional Lennard-Jones fluid

We have used the Gibbs ensemble Monte Carlo method to investigate fluids in the N dimensional space. We consider the practical way to perform these si mulations and give expressions for the long-range corrections. Results for the four-dimensional Lennard-Jones fluid are presented. The calculated phas e diagram and several thermodynamic properties for this fluid are given. Es timates of the critical point and the critical exponent are obtained from t he phase diagram. The simulations were performed with two different simulat ion techniques: random choice and a fixed sequence of Monte Carlo steps. (C ) 1999 American Institute of Physics. [S0021-9606(99)52041-2].