We present the theory of quasiparticle transport in perturbatively small inhomogeneous magnetic fields across the ballistic-to-hydrodynamic crossover. In the hydrodynamic limit, the resistivity

$\rho$

generically grows proportionally to the rate of momentum-conserving electron-electron collisions at large enough temperatures

$T$

. In particular, the resulting flow of electrons provides a simple scenario where viscous effects suppress conductance below the ballistic value. This new mechanism for

$\rho \propto T^2$

resistivity in a Fermi liquid may describe low

$T$

transport in single-band

${\text{SrTiO}}_3$

.

中文翻译：

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随机磁场中电子传输的动力学理论

我们提出了在穿过弹道-流体动力交换的扰动小的不均匀磁场中的准粒子传输的理论。在水动力极限内，电阻率

$\rho$

通常在足够大的温度下，与动量守恒电子-电子碰撞的速率成比例地增长

$Ť$

。特别是，所得的电子流提供了一种简单的方案，在该方案中，粘滞效应将电导抑制在弹道值以下。这种新的机制

$\rho \propto {Ť}^{\mathrm{2个}}$

费米液体中的电阻率可能较低

$Ť$

单频传输

${\text{钛酸锶}}_3$

。