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Diffuse charge dynamics in ionic thermoelectrochemical systems.

Robert F Stout1, Aditya S Khair1

  • 1Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.

Physical Review. E
|September 28, 2017
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Summary
This summary is machine-generated.

Ionic thermoelectric generators show promise for alternative energy. This study reveals that thermovoltage develops rapidly on the Debye time scale, while ion migration occurs later on the bulk diffusion time scale.

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Area of Science:

  • Materials Science
  • Electrochemistry
  • Energy Conversion

Background:

  • Thermoelectric generators are explored for alternative energy. Ionic thermoelectric materials are of recent interest, but modeling often focuses on steady-state behavior.
  • Understanding the dynamics of charge carriers in ionic thermoelectrics is crucial for optimizing device performance.

Purpose of the Study:

  • To determine the time scales of diffuse charge dynamics in ionic thermoelectrochemical systems.
  • To analyze the simplest model thermoelectric cell: a binary electrolyte between two parallel, blocking electrodes.

Main Methods:

  • Mathematical modeling using the Poisson-Nernst-Planck equations for dilute solutions.
  • Linearization of nonlinear equations in the limit of a weak temperature gradient.
  • Analysis of ion flux driven by electromigration, Brownian diffusion, and thermal diffusion.

Main Results:

  • The thermovoltage develops on the Debye time scale (1/Dκ²).
  • The concentration gradient due to the Soret effect develops on the bulk diffusion time scale (L²/D).
  • For thin diffuse layers, Debye time is significantly shorter than diffusion time, meaning ion motion follows thermovoltage development.

Conclusions:

  • The development of thermovoltage in ionic thermoelectric systems is surprisingly rapid compared to the subsequent ion migration.
  • Device dynamics are largely independent of thermal diffusion coefficients, which influence only the steady-state magnitude.
  • These findings provide critical insights into the transient behavior of ionic thermoelectric devices.