scholarly journals Exploring partial μ−τ reflection symmetry at DUNE and Hyper-Kamiokande

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Kaustav Chakraborty ◽  
K. N. Deepthi ◽  
Srubabati Goswami ◽  
Anjan S. Joshipura ◽  
Newton Nath
Keyword(s):  
Reflection Symmetry

scholarly journals Turbulence of Capillary Waves on Shallow Water

Fluids ◽  
2021 ◽  
Vol 6 (5) ◽  
pp. 185
Author(s):  
Natalia Vladimirova ◽  
Ivan Vointsev ◽  
Alena Skoba ◽  
Gregory Falkovich
Keyword(s):  
Shallow Water ◽  
Large Scale ◽  
Capillary Waves ◽  
Total Momentum ◽  
Reflection Symmetry ◽  
Spontaneous Breakdown ◽  
Developed Turbulence ◽  
Degree Of Anisotropy ◽  
Zero Momentum ◽  
Square Box

We consider the developed turbulence of capillary waves on shallow water. Analytic theory shows that an isotropic cascade spectrum is unstable with respect to small angular perturbations, in particular, to spontaneous breakdown of the reflection symmetry and generation of nonzero momentum. By computer modeling we show that indeed a random pumping, generating on average zero momentum, produces turbulence with a nonzero total momentum. A strongly anisotropic large-scale pumping produces turbulence whose degree of anisotropy decreases along a cascade. It tends to saturation in the inertial interval and then further decreases in the dissipation interval. Surprisingly, neither the direction of the total momentum nor the direction of the compensated spectrum anisotropy is locked by our square box preferred directions (side or diagonal) but fluctuate.

scholarly journals Bosonic symmetry-protected topological phases with reflection symmetry

2015 ◽  
Vol 92 (24) ◽  
Author(s):  
Tsuneya Yoshida ◽  
Takahiro Morimoto ◽  
Akira Furusaki
Keyword(s):  
Topological Phases ◽  
Reflection Symmetry ◽  
Symmetry Protected
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