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Numerical analysis of phase separation between conductive and insulative materials induced under constant current mode using the extended Cahn–Hilliard equation

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  • Nagamine, Yuko

Abstract

In my previous study, on a mixed system of conductive and insulative materials under constant current mode and the constant voltage mode, the extended Cahn–Hilliard equation for a dissipative system was formulated based on Onsager’s variational principle and it was shown that the conductive and insulative materials were phase-separated spatially under the constant current mode. In this study, a detailed analysis of this formula under the constant current mode was carried out by varying the parameter values to elucidate the differences from the conventional phase separation. Unlike conventional phase separation, the phase separation in this study induces as many interfaces as possible and maintains a certain size for the domains. In the domains with a low concentration of the insulative material, the concentrations of insulative and conductive materials are phase-separated to be zero and maximum, respectively.

Suggested Citation

  • Nagamine, Yuko, 2022. "Numerical analysis of phase separation between conductive and insulative materials induced under constant current mode using the extended Cahn–Hilliard equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005891
    DOI: 10.1016/j.physa.2022.127925
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    References listed on IDEAS

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    1. Nagamine, Yuko & Hara, Masahiko, 2003. "Bifurcations of spatiotemporal stripe patterns formed by Ag/Sb co-electrodeposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 249-263.
    2. Krastev, I. & Koper, M.T.M., 1995. "Pattern formation during the electrodeposition of a silver-antimony alloy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(1), pages 199-208.
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