论文标题
放松一维费米气体
Relaxation of the degenerate one-dimensional Fermi gas
论文作者
论文摘要
我们研究在温度下，一维自旋1/2费米的系统如何远低于费米能量的热量平衡。假定费米之间的相互作用被认为是弱的，并且在扰动理论中被解释。在没有外部磁场的情况下，自旋退化会强烈影响费米气体的松弛。对于足够的短距离相互作用，松弛速率与温度线性缩放。为了关注系统的情况，我们将碰撞积分线性化并找到所得的放松问题的精确解决方案。我们讨论了结果在评估一维费米气体的运输系数中的应用。
We study how a system of one-dimensional spin-1/2 fermions at temperatures well below the Fermi energy approaches thermal equilibrium. The interactions between fermions are assumed to be weak and are accounted for within the perturbation theory. In the absence of an external magnetic field, spin degeneracy strongly affects relaxation of the Fermi gas. For sufficiently short-range interactions, the rate of relaxation scales linearly with temperature. Focusing on the case of the system near equilibrium, we linearize the collision integral and find exact solution of the resulting relaxation problem. We discuss the application of our results to the evaluation of the transport coefficients of the one-dimensional Fermi gas.
