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Reference: Hemingway, S. J., (1982). Statistical mechanics of surfaces. Dphil. University of Oxford.Citable link to this page:

 

Statistical mechanics of surfaces

Abstract: ´╗┐The equilibrium properties of a spherical drop areinvestigated using the penetrable-sphere model of a fluid.To estimate the surface tension, a new statistical mechanicalformula, the extension of the Triezenberg-Zwanzig result fora planar surface, is derived. The density profiles for use inthis are obtained from an integral equation expressing theconstancy of chemical potential through the interface. Numericalsolutions can be obtained and from these numerical estimatesfor the surface tension. They are in good agreement withestimates from an independent thermodynamic route. These routes,as well as a further, zero-temperature, exact, analytic one,show that the surface tension of this model increases withdecreasing drop size.The planar surface of the model is also brieflyinvestigated using a well-known integrodifferential equation.Two approximations are made for the direct correlation function,one a systematic improvement on the other. They yield solutionsfor the density profile of a limited range of temperatures belowthe critical point. When the direct correlation function of aLennard-Jones fluid is approximated the resulting equation forthe profile resists numerical solution.

Type of Award:Dphil Level of Award:Doctoral Awarding Institution: University of Oxford Notes:The digital copy of this thesis has been made available thanks to the generosity of Dr Leonard Polonsky

Contributors

Rowlinson, J. S. (John Shipley)More by this contributor

RoleSupervisor

 

Prof. J.S. RowlinsonMore by this contributor

RoleSupervisor

 Bibliographic Details

Issue Date: 1982Identifiers

Urn: uuid:f4913459-32d4-42a6-a6ec-fc6e33d0b69e

Source identifier: 602819578 Item Description

Type: Thesis;

Language: eng Subjects: Solid-liquid equilibrium Surface energy Statistical mechanics Tiny URL: td:602819578

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Author: Hemingway, S. J. - institutionUniversity of Oxford facultyMathematical and Physical Sciences Division - - - - Contributors Rowlin

Source: https://ora.ox.ac.uk/objects/uuid:f4913459-32d4-42a6-a6ec-fc6e33d0b69e



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