1.1k citations · 14.2k across the 164 of their papers we have counts for
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Conformal mapping methods for interfacial dynamics
Martin Z. Bazant, Darren Crowdy
The article provides a pedagogical review aimed at graduate students in materials science, physics, and applied mathematics, focusing on recent developments in the subject. Followi…
Electrochemical Thin Films At and Above the Classical Limiting Current
Kevin T. Chu, Martin Z. Bazant
We study a model electrochemical thin film at dc currents exceeding the classical diffusion-limited value. The mathematical problem involves the steady Poisson-Nernst-Planck equati…
Current-Voltage Relations for Electrochemical Thin Films
Martin Z. Bazant, Kevin T. Chu, B. J. Bayly
The dc response of an electrochemical thin film, such as the separator in a micro-battery, is analyzed by solving the Poisson-Nernst-Planck equations, subject to boundary condition…
Steady advection-diffusion around finite absorbers in two-dimensional potential flows
Jaehyuk Choi, Dionisios Margetis, Todd M. Squires +1
We perform an exhaustive study of the simplest, nontrivial problem in advection-diffusion -- a finite absorber of arbitrary cross section in a steady two-dimensional potential flow…
Diffuse-Charge Dynamics in Electrochemical Systems
Martin Z. Bazant, Katsuyo Thornton, Armand Ajdari
The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry,…