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

Yuko Nagamine

Physica A: Statistical Mechanics and its Applications, 2022, vol. 604, issue C

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.

Keywords: Numerical simulation; Phase separation; Cahn–Hilliard equation; A mixed system of conductive and insulative materials; Constant current mode (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005891

DOI: 10.1016/j.physa.2022.127925

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