Densityfunctional theory of freezing of hardsphere mixtures into substitutional solid solutions
Abstract
The densityfunctional theory of freezing is extended to investigate the crystallization of binary hardsphere mixtures. As the ratio of diameters α=σ_{1}/σ_{2} is lowered, the fluidsolid phase diagram for disordered alloys evolves from a spindle shape (1>α>0.94) into an azeotropic diagram (0.94>α>0.92) and finally into a eutectic diagram (0.92>α>0.85). Below α=0.85, nearly complete immiscibility is predicted, in agreement with the empirical HumeRothery rule for metallic alloys.
 Publication:

Physical Review Letters
 Pub Date:
 March 1986
 DOI:
 10.1103/PhysRevLett.56.1063
 Bibcode:
 1986PhRvL..56.1063B
 Keywords:

 64.70.Dv;
 05.20.y;
 64.75.+g;
 Solidliquid transitions;
 Classical statistical mechanics;
 Solubility segregation and mixing;
 phase separation