A particulate basis for a lattice-gas model of amphiphilic fluids

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Abstract
We show that the flux-field expansion derived by Boghosian & Coveney for the Rothman-Keller immiscible fluid model can be derived in a simpler and more general way in terms of the completely symmetric tensor kernels introduced by those authors. Using this generalized flux-field expansion we show that the more complex amphiphilic model of Boghosian, Coveney & Emerton can also be derived from an underlying model of particle interactions. The consequences of this derivation are discussed in the context of previous equilibrium Ising-like lattice models and other non-equilibrium mesoscale models.

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