The colour-field surface tension model was devised by Rothman et al. [28]. Let , the colour density of link at time t and site on a grid, be given by
the difference between the number of red and blue particles on the link. Due to the exclusion principle can take the values -1, 0 and 1. The colour density at a site, defined by equation (3.43), is given by
The local colour flux is given by
and is the difference between the red momentum and the blue momentum at site at time t where the site is in state , the sum of the red and blue states. The local colour gradient is given by
which is the microscopic gradient of the colour density . The work performed by the flux against the gradient is
The out-state of any FHP interaction is then chosen such that
where are all the possible collision outcomes.