Statistical Mechanics of Multilayer Sorption: Surface Tension

2013 ◽  
Vol 4 (10) ◽  
pp. 1723-1726 ◽  
Author(s):  
Anthony S. Wexler ◽  
Cari S. Dutcher

The nature of the microscopic stress tensor in an inhomogeneous fluid is discussed, with emphasis on the statistical mechanics of drops. Changes in free energy for isothermal deformations of a fluid are expressible as volume integrals of the stress tensor ‘times’ a strain tensor. A particular radial distortion of a drop leads to statistical mechanical expressions for the pressure difference across the surface of the drop. We find that the stress tensor is not uniquely defined by the microscopic laws embodying the conservation of momentum and angular momentum and that the am­biguity remains in the ensemble average, or pressure tensor, in regions of inhomogeneity. This leads to difficulties in defining statistical mechanical expressions for the surface tension of a drop.


2018 ◽  
Vol 2 ◽  
pp. 90-95
Author(s):  
Ishwar Koirala

We have investigated the effect of surface coordination of atoms on the surface properties of Cd-Ga and Cd-Zn liquid alloys by varying their surface coordination fractions using statistical mechanics model. Surface tension and surface concentration did not have significant effect on the calculation of both surface tension and surface concentration of two alloys. The computation of the concentration fluctuations at the surface revealed that it was sensitive to the surface coordination fractions of both segregating systems. In those alloys we found that the computation of the Warren-Cowley short rang order parameter was influenced by the surface coordination fractions.


2013 ◽  
Author(s):  
Anthony S. Wexler ◽  
Cari S. Dutcher ◽  
Simon L. Clegg

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