The conditions for macroscopic segregation of A and B in a steady-state A+B → 0 reaction are studied in infinite systems. Segregation occurs in one and two dimensions and is marginal for d =3. We note the dependence of these results on the precise experimental conditions assumed in the theory. We also note the difference between these results and our earlier ones for finite systems where the critical dimension is d =2.
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http://deepblue.lib.umich.edu/bitstream/2027.42/45155/1/10955_2005_Article_BF01044727.pdf