论文标题
一维费米气体的粘性特性
Viscous Properties of a Degenerate One-Dimensional Fermi Gas
论文作者
论文摘要
我们研究了一个弱相互作用的自旋系统的粘性特性 - $ \ frac {1} {2} $ fermions在一个维度上。考虑到相互作用对准粒子能能谱的影响，我们在低温下获得了该系统的大量粘度。与费米昂的反向散射速率相比，我们的结果对于较小的频率有效。对于大于该指数较小的速率的频率，系统的激发与质量运动的中心脱钩，流体由两流体流体动力学描述。我们计算描述此制度中粘性耗散所需的三个传输系数。
We study the viscous properties of a system of weakly interacting spin-$\frac{1}{2}$ fermions in one dimension. Accounting for the effect of interactions on the quasiparticle energy spectrum, we obtain the bulk viscosity of this system at low temperatures. Our result is valid for frequencies that are small compared with the rate of fermion backscattering. For frequencies larger than this exponentially small rate, the excitations of the system become decoupled from the center of mass motion, and the fluid is described by two-fluid hydrodynamics. We calculate the three transport coefficients required to describe viscous dissipation in this regime.
