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The Colour-Field Model

  The colour-field surface tension model was devised by Rothman et al. [28]. Let tex2html_wrap_inline13741 , the colour density of link tex2html_wrap_inline13399 at time t and site tex2html_wrap_inline12911 on a grid, be given by

equation1467

the difference between the number of red and blue particles on the link. Due to the exclusion principle tex2html_wrap_inline13755 can take the values -1, 0 and 1. The colour density at a site, defined by equation (3.43), is given by

equation1475

The local colour flux tex2html_wrap_inline13761 is given by

equation1484

and is the difference between the red momentum and the blue momentum at site tex2html_wrap_inline12911 at time t where the site is in state tex2html_wrap_inline13777 , the sum of the red and blue states. The local colour gradient tex2html_wrap_inline13779 is given by

equation1498

which is the microscopic gradient of the colour density tex2html_wrap_inline13729 . The work tex2html_wrap_inline13793 performed by the flux against the gradient is

equation1508

The out-state of any FHP interaction tex2html_wrap_inline13799 is then chosen such that

equation1520

where tex2html_wrap_inline13801 are all the possible collision outcomes.



James Buick
Tue Mar 17 17:29:36 GMT 1998