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arXiv · 2001.04688

Temperature-driven dynamics of quantum liquids: Logarithmic nonlinearity, phase structure and rising force

Konstantin G. Zloshchastiev
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Abstract

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.

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BibTeXRIS

Konstantin G. Zloshchastiev. 2020-01-14. Temperature-driven dynamics of quantum liquids: Logarithmic nonlinearity, phase structure and rising force. https://doi.org/10.1142/s0217979219501844

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