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Rigorous Results on Surface Diffusion Coefficients Near a First-Order Phase Transition

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Abstract

We present a microscopic statistical–mechanical approach from which the chemical surface diffusion coefficient can be obtained in the local equilibrium limit, assuming that the system of a finite size undergoes a first-order phase transition between two phases. We also show the behavior of the jump diffusion coefficient and thermodynamic factor near such a transition. Explicit formulas for the dependences of these quantities on the chemical potential, coverage, and size of the system are presented. The general results are applied to a simple two-dimensional lattice model on a regular triangular lattice.

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Acknowledgments

This research was supported by the Czech Science Foundation, Project No.P105/12/G059.

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Authors and Affiliations

  1. Department of Physics, Constantine the Philosopher University, 94974 , Nitra, Slovakia

    Igor Medved’, Jozef Kováč & Anton Trník

  2. Department of Materials Engineering and Chemistry, Faculty of Civil Engineering, Czech Technical University, 16629 , Prague, Czech Republic

    Igor Medved’ & Anton Trník

  3. Faculty of Energy Technology, University of Maribor, 8270 , Krško, Slovenia

    Jurij Avsec

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  1. Igor Medved’
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  2. Jurij Avsec
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  3. Jozef Kováč
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  4. Anton Trník
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Correspondence to Igor Medved’.

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Medved’, I., Avsec, J., Kováč, J. et al. Rigorous Results on Surface Diffusion Coefficients Near a First-Order Phase Transition. Int J Thermophys 35, 1853–1862 (2014). https://doi.org/10.1007/s10765-013-1431-1

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