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The Van der Waals equation (VdW-EoS) is a prototype equation of state forrealistic systems, because it contains the excluded volume and the particleinteractions. Additionally, the simulated annealing (and the similar simulatedcompressing) approach applies the time dependence on to one of the variables ofstate to simulate quasi static state changes. The combination of both enablesthe simulation of time dependent processes like phase transitions ofsubcritical, critical and supercritical substances on every arbitrary conditionincluding a passage over points of singularity of the correspondingsusceptibility coefficients. This is achieved by a new simulation approachcalled simulated expansion. This approach makes the simulation comparable tonatural processes which exhibit gradual changes in volume, rather than changesin temperature or pressure, as exercised in simulated annealing or compressing.The demonstrated method here serves as a blue print for more general classes ofsimulation approaches.

Simulating phase transitions by means of quasi static state changes: the capabilities of the time dependent Van der Waals equation of state