Smooth Particle Methods for Vapour Liquid Coexistence.

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Abstract: The vapour-liquid phase transition exhibits remarkable complexity and requires sophisticated mod-eling to explain in detail. The complex structure of a condensing quenched vapour suggests Lagrangian particle methods like smoothed particle hydrodynamics (SPH), smooth particle applied mechanics (SPAM) and dissipative particle dynamics (DPD) as natural numerical techniques. Lagrangian particle methods allow for arbitrarily complex flows, do not suffer from mesh tangling and avoid unstable modes associated with grid methods. Mesoscopic, coarse grained models of phase transitions are of current interest because of their potential applications to the fabrication of microstructures. In smooth particle methods the fluid is represented as a set of particles that carry the properties of the fluid and interact according to equations of motion that are derived in a clear and consistent way from the continuum equations and constitutive relations for the system. We see this as an advantage

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