Equation of State And Phase Transition of the Spherical Lattice Gas

Cover Equation of State And Phase Transition of the Spherical Lattice Gas
Equation of State And Phase Transition of the Spherical Lattice Gas
Walter Pressman
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The two-dimensional spherical lattice gas 9 5. The three-dimensional spherical lattice gas 11 6. Final remarks ih 1. Introduction.
The spherical lattice gas is a simplified model of a gas. We introduce it because we can deduce its equation of state statistical mechanically. We find that it undergoes phase transition in three dimensions, although not in one or two dimensions. We also find that its isotherms and transition curve, shown in Figure 9 are in qualitative agreement with experimental cu
...rves . However they exhibit a physically unreasonable negative pressure at very large and very small specific volumes. This can be traced to an inadequacy of the model for such specific volumes.
The ordinary lattice gas is defined by first dividing the volvmie V, which the gas occupies, into V identical cells (e. G. Cubes), each of unit volume. The potential energy of interaction between two molecules of the gas is defined to be infinite if they occupy the same cell, to be -kj

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