Ramp model: Difference between revisions

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Recently, the same behavior has ben found in a three-dimensional [[lattice gas|lattice gas]] ramp model <ref>
Recently, the same behavior has ben found in a three-dimensional [[lattice gas|lattice gas]] ramp model <ref>
[http://dx.doi.org/10.1080/00268970902729269  Johan Skule Hoye,  Enrique Lomba, and  Noe Garcia Almarza,  ''One- and three-dimensional lattice models with two repulsive ranges: simple systems with complex phase behaviour'' Mol. Phys 2009 ] </ref>
[http://dx.doi.org/10.1080/00268970902729269  Johan Skule Hoye,  Enrique Lomba, and  Noe Garcia Almarza,  ''One- and three-dimensional lattice models with two repulsive ranges: simple systems with complex phase behaviour''Mol. Phys 2009 ] </ref>


==See also==
==See also==

Revision as of 19:26, 4 March 2009

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