Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation
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Date
2014
Authors
Good, Michael R.R.
Xiong, Chi
Guo, Yulong
Liu, Xiaopei
Huang, Kerson
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Abstract
We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime.The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics gives rise to superfluidity. The mechanisms discussed are local inertial forces (Coriolis and centrifugal), and current-current interaction with an external source. The primary application is to cosmology, but we also discuss the reduction to the non-relativistic nonlinear Schr¨odinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases
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Keywords
Research Subject Categories::NATURAL SCIENCES::Physics, relativistic superfluidity, quantized vorticity, nonlinear Klein-Gordon equation
Citation
Good Michael R.R., Xiong Chi, Guo Yulong, Liu Xiaopei, Huang Kerson; 2014; Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation; http://arxiv.org/abs/1408.0779