Phase Separation of Crystal Surfaces: A Lattice Gas Approach

We consider both equilibrium and kinetic aspects of the phase separation (``thermal faceting") of thermodynamically unstable crystal surfaces into a hill--valley structure. The model we study is an Ising lattice gas for a simple cubic crystal with nearest--neighbor attractive interactions and weak next--nearest--neighbor repulsive interactions. It is likely applicable to alkali halides with the sodium chloride structure. Emphasis is placed on the fact that the equilibrium crystal shape can be interpreted as a phase diagram and that the details of its structure tell us into which surface orientations an unstable surface will decompose. We find that, depending on the temperature and growth conditions, a number of interesting behaviors are expected. For a crystal in equilibrium with its vapor, these include a low temperature regime with logarithmically--slow separation into three symmetrically--equivalent facets, and a higher temperature regime where separation proceeds as a power law in time into an entire one--parameter family of surface orientations. For a crystal slightly out of equilibrium with its vapor (slow crystal growth or etching), power--law growth should be the rule at late enough times. However, in the low temperature regime, the rate of separation rapidly decreases as the chemical potential difference between crystal and vapor phases goes to zero.Comment: 16 pages (RevTex 3.0); 12 postscript figures available on request ([email protected]). Submitted to Physical Review E. SFU-JDSDJB-94-0

Sectoral Differences in Wage Freezes and Wage Cuts : Evidence from a New Firm Survey

The paper provides evidence concerning incidence and sources of nominal wage rigidity in services and manufacturing, using a new and large employer survey on wage and price setting behaviour for Germany. We observe that wage freezes are more frequent in services than in manufacturing, whereas wage cuts are less frequent. The significant sector gaps do not vanish after controlling for relevant firm characteristics influencing the incidence of wage freezes and wage cuts, notably coverage by collective agreements and the degree of price competition on the product market. An analysis of firms’ view on the reasons preventing wage cuts suggests that specific fear of excess worker turnover could explain distinct wage setting behaviour in services

Downward nominal wage rigidity in Europe: an analysis of European micro data from the ECHP 1994–2001

Downward nominal wage rigidity, Wage stickiness, European community household panel, ECHP, Histogram-location approach, European union, Euro area, J30, E24,