Surface free energy of a finite system without interfaces at low temperatures |
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Authors: | Igor Medvedʼ Anton Trník |
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Institution: | 1. Department of Physics, Constantine the Philosopher University, 94974 Nitra, Slovakia;2. Department of Materials Engineering and Chemistry, Czech Technical University, 16629 Prague, Czech Republic |
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Abstract: | We derive the specific surface free energy for a rather general system at low temperatures that can be rewritten as a gas of non-interacting contours (polymers). To this end, we use a standard cluster expansion series for the system?s partition function. A specific regime of ‘weak’ boundary conditions is assumed to ensure that no interfaces or large droplets occur in the system. We illustrate the general results, using a simple lattice–gas model. |
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Keywords: | Surface and bulk free energy Contours Cluster expansion Lattice&ndash gas models |
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