标题： 超导转变过程中热电输运的时空差异动力学 显示英文标题

标题： Distinct Spatiotemporal Dynamics of Thermoelectric Transport Across Superconducting Transition

摘要： 我们研究由扩散、非线性和磁场相互作用所塑造的超导体中的热输运松弛动力学。 聚焦于接近临界温度 Tc 的区域，我们分析了两类产生定性不同动力学的松弛扩散方程，我们将其分别称为 I 型（线性）和 II 型（非线性）。 I 型松弛，表现为 Tc 以上的正常态，导致由线性扩散支配的稳定且空间均匀的热电流。 相比之下， II 型松弛，适用于 Tc 以下，表现出非稳定的动力学，其特征是明显的空间不均匀性和演化模式，在这种模式中，初始的局部热点会暂时通过系统传播。 这些区域之间的显著差异突显了超导相变过程中输运机制的根本变化，并在新兴探测局部耗散技术的背景下提供了实验上有意义的预测。 显示英文摘要

摘要： We investigate the relaxation dynamics of heat transport in superconductors, shaped by the interplay of diffusion, nonlinearity, and magnetic fields. Focusing on regimes near the critical temperature Tc, we analyze two classes of relaxation diffusion equations that give rise to qualitatively distinct dynamics, which we denote as Type I (linear) and Type II (nonlinear). Type I relaxation, characteristic of the normal state above Tc, results in a steady and spatially uniform heat current governed by linear diffusion. By contrast, Type II relaxation, relevant below Tc, exhibits non steady dynamics marked by pronounced spatial inhomogeneities and an evolving pattern, in which an initially localized hot spot propagates transiently through the system. The striking distinction between these regimes underscores a fundamental shift in transport mechanisms across the superconducting phase transition and provides experimentally relevant predictions in light of emerging techniques for probing local dissipation.