The early stages of spinodal decomposition in the surface layer of a semi-infinite Ising model are studied by using the theory of Langer, Bar-on, and Miller and the self-consistent method. It is shown that the speed of phase separation in the surface layer is faster than that in the bulk because of the surface enhancement, and the one-point distribution function in the surface is di6'erent from that of the bulk. It is inferred that the surface with a negative enhancement (C )0) acts as a twodimensional "nucleus" for the phase separation and for forming a "wetting layer. "
The critical behaviour of the transport coefficients of the free surface of liquid helium above Tlambda is studied by using the renormalisation group results of the semi-infinite model E, and a possible explanation for the experiment of Wiechert and Buchholz (see J. Low Temp. Phys., vol.51, p.291, 1983) on sound conversion at the free surface of He II is given by extrapolating these results to the region below Tlambda .
Based on a plane wave pseudopotential method within the framework of density functional theory, equilibrium structure, bulk modulus, and relative stability were calculated for 6 kinds of TiN polytypes including B1 (NaCl structure), B2 (CsCl structure), B3 (zincblende structure), Bk (hexagonal BN structure), Bh (WC structure) and B81 (NiAs structure). Theoretical calculation also showed that TiN can not exist in B4 (wurtizite) structure. Through geometry optimization under hydrostatic pressure, the enthalpy of each TiN phase at different pressures was obtained. It was found that TiN with B1 structure is the most stable phase at pressure lower than about 345 GPa, whereas B2 TiN is the most stable at pressure above 345 GPa. Volume discontinuity and bulk modulus change can be observed during the transition from B1 to B2 phase.
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