Incompatibility of the Shuttleworth equation with Hermann’s mathematical structure of thermodynamics |
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| Authors: | D.J. Bottomley Lasse Makkonen |
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| Affiliation: | a Origin Ltd., Twisden Works, Twisden Road, London NW5 1DN, United Kingdom
b Technical Research Centre of Finland, Box 1000, 02044 VTT, Finland |
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| Abstract: | We show that three independent derivations of the Shuttleworth equation, arguably the second most important equation in surface physics, are inconsistent with Hermann’s mathematical structure of thermodynamics [R. Hermann, Geometry, Physics and Systems, Marcel Dekker Inc., New York, USA, 1973 (Chapter 6)]. The possible implications of this result are discussed. |
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| Keywords: | Thermodynamics Surface energy Surface stress Surface tension Surface thermodynamics Equilibrium thermodynamics and statistical mechanics Single crystal surfaces |
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