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arXiv math-ph/0212062math-phmath.MP
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耗散输运:热接触和隧道结

Dissipative Transport: Thermal Contacts and Tunnelling Junctions

Juerg Froehlich, Marco Merkli, Daniel Ueltschi

摘要:

回顾和扩展了量子力学库之间简单输运过程的一般理论。我们专注于热电现象,涉及能量和粒子的交换。熵产生和昂萨格关系是相关的热力学概念,这是从微观描述出现。该理论说明了两个水库的自由费米子耦合通过本地相互作用的例子。我们构建一个固定的状态,并确定能量和粒子流的帮助下,收敛的扰动系列。我们明确地计算了几个有趣的量,最低阶,如熵产生,电阻和热导率。摄动级数的收敛性使我们能够证明,在适当的假设下,水库之间的相互作用,他们是严格积极的。

英文摘要:

The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles. Entropy production and Onsager relations are relevant thermodynamic notions which are shown to emerge from the microscopic description. The theory is illustrated on the example of two reservoirs of free fermions coupled through a local interaction. We construct a stationary state and determine energy- and particle currents with the help of a convergent perturbation series. We explicitly calculate several interesting quantities to lowest order, such as the entropy production, the resistance, and the heat conductivity. Convergence of the perturbation series allows us to prove that they are strictly positive under suitable assumptions on the interaction between the reservoirs.

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