We theoretically study the thermoelectric response of ionic conductors to an applied temperature gradient. As a main result, we find that open and closed systems with respect to charge exchange result in different expressions for the thermopower, which may even take opposite signs. For the experimentally most relevant zero-current steady state, we show that the thermopower of ionic conductors does not depend on the mobilities, contrary to what is known for metals and semiconductors. The different behaviors of ionic and electronic conductors are traced back to the unlike conservation laws for ionic carriers and electron-hole pairs.

中文翻译：

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离子导体和离子电容器的热功率

我们从理论上研究了离子导体对施加的温度梯度的热电响应。作为主要结果，我们发现，关于电荷交换的开放式系统和封闭式系统会产生不同的热电表达，甚至可能采用相反的符号。对于实验上最相关的零电流稳态，我们证明了离子导体的热功率不取决于迁移率，这与金属和半导体已知的相反。离子导体和电子导体的不同行为可追溯到离子载体和电子-空穴对的守恒律不同。