Electric double layer on fractal electrodes

Hidetsugu Sakaguchi, Reisei Baba

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    The electric double layer around fractal electrodes is studied with direct numerical simulations of the Nernst-Planck equation coupled with the Poisson equation. The capacitance and the relaxation time obey a power law as a function of the system size, the temperature, and the concentration. The time evolution of the charging process exhibits a stretched exponential law, and the exponent β is numerically evaluated.

    Original languageEnglish
    Article number051502
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume75
    Issue number5
    DOIs
    Publication statusPublished - May 9 2007

    Fingerprint

    Capacitance
    Poisson's equation
    Relaxation Time
    Electrode
    Fractal
    fractals
    Power Law
    Exponent
    electrodes
    Poisson equation
    direct numerical simulation
    charging
    relaxation time
    capacitance
    exponents
    temperature
    Direct numerical Simulation

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

    Cite this

    Electric double layer on fractal electrodes. / Sakaguchi, Hidetsugu; Baba, Reisei.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 75, No. 5, 051502, 09.05.2007.

    Research output: Contribution to journalArticle

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