一维复合链中的非反常热输运
Nonanomalous heat transport in a one-dimensional composite chain
AI总结：
本文针对一维复合链提出一种非反常热输运机制，说明向反常输运的转变尺度在特定条件下可发散至无穷大，并解析证明零弹性及连续极限下稳态温度分布保持线性。
摘要：
已知平移不变的低维系统会表现出反常热输运。然而，有些系统（例如耦合转子链）虽然满足平移不变性，但其输运仍然保持扩散型。已有观点认为，正常扩散的恢复是由于无法定义一个具有有意义动力学的全局拉伸变量。本文提出另一种机制，即向反常热输运的转变可能发生在某一尺度上，而在特定条件下该尺度可能发散至无穷大。为说明这一机制，我考虑一个复合链的情形，该链同时守恒局域能量、动量以及全局拉伸，并且在连续极限下服从热输运的傅里叶定律。解析结果表明，当弹性趋于零时，链的稳态温度分布是线性的；对于有限弹性，同一性质在连续极限下依然成立。
英文摘要：
Translation-invariant low-dimensional systems are known to exhibit anomalous heat transport. However, there are systems, such as the coupled-rotor chain, where translation invariance is satisfied, yet transport remains diffusive. It has been argued that the restoration of normal diffusion occurs due to the impossibility of defining a global stretch variable with a meaningful dynamics. In this Letter, an alternative mechanism is proposed, namely, that the transition to anomalous heat transport can occur at a scale that, under certain circumstances, may diverge to infinity. To illustrate the mechanism, I consider the case of a composite chain that conserves local energy and momentum as well as global stretch, and at the same time obeys, in the continuum limit, Fourier's law of heat transport. It is shown analytically that for vanishing elasticity the stationary temperature profile of the chain is linear; for finite elasticity, the same property holds in the continuum limit.
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