Ramp model

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The ramp model, proposed by Jagla [1] and sometimes known as the Jagla model, is described by:

where is the intermolecular pair potential, , and .

Graphically, one has:

where the red line represents an attractive implementation of the model, and the green line a repulsive implementation.

Critical points

For the particular case , the liquid-vapour critical point is located at [2]:

and the liquid-liquid critical point:

Repulsive Ramp Model

In the repulsive ramp case: ; neither liquid-vapor nor liquid-liquid stable equilibria occur (See Lomba et al. at the list of the references). However, for this model, it has been found a low density crystalline phase, This solid phase presents reentrant melting, i.e. It melts into the fluid phase at high pressure.

Recently, the same behavior has ben found in a three-dimensional lattice gas ramp model [3]

See also

References

Related literature