论文标题
量子液体的温度驱动动力学：对数非线性，相结构和力上升力
Temperature-driven dynamics of quantum liquids: Logarithmic nonlinearity, phase structure and rising force
论文作者
论文摘要
我们研究了一大类强烈相互作用的凝结物样材料，这些材料的特征是可正常的复合物值函数。已知具有对数非线性的量子波方程至少在领先近似中描述了这种系统，其中非线性耦合与温度有关。该方程式可以映射到具有内在表面张力和毛细血管的无粘性压缩流体的流动方程式上。表明该流体具有由其温度控制的非平凡相结构。证明，在不同的非线性耦合的情况下，会发生额外的力，这与耦合的梯度平行。该模型预测温度差会在空间上创建一个方向，即使量子液体可以流动，甚至与重力的力相对。我们还提出了解释为什么超流体的论点。无论是液化冷气的超流体成分还是超导体内部的库珀对，都会影响定位的加速度测量设备。
We study a large class of strongly interacting condensate-like materials, which can be characterized by a normalizable complex-valued function. A quantum wave equation with logarithmic nonlinearity is known to describe such systems, at least in a leading-order approximation, wherein the nonlinear coupling is related to temperature. This equation can be mapped onto the flow equations of an inviscid barotropic fluid with intrinsic surface tension and capillarity; the fluid is shown to have a nontrivial phase structure controlled by its temperature. It is demonstrated that in the case of a varying nonlinear coupling an additional force occurs, which is parallel to a gradient of the coupling. The model predicts that the temperature difference creates a direction in space in which quantum liquids can flow, even against the force of gravity. We also present arguments explaining why superfluids; be it superfluid components of liquified cold gases, or Cooper pairs inside superconductors, can affect closely positioned acceleration-measuring devices.
