Abstract
The question of the termination of a periodic spatial structure of Turing type in a growing system is addressed in a chemical engineering perspective and a biomimetic approach. The effects of the dynamical parameters on the stability and the wavelength of the structure are analytically studied and used to propose experimental conditions for which a Turing pattern stops by itself with a decreasing wavelength. The proposed mechanism is successfully checked by the numerical integration of the equations governing the dynamics of the activator and the inhibitor. We conclude that a local increase of the concentration of the reservoir which controls the injection rate of the inhibitor into the system can be used to achieve the appropriate termination of a Turing pattern.
Highlights
The main purpose of the work presented in this paper was to explore the opportunities which would be provided by the Sieroszowice Underground Laboratory SUNLAB, located in the Polkowice-Sieroszowice mine in Poland, to study the CP-symmetry conservation or violation in the neutrino sector
The Polish site in the Polkowice-Sieroszowice mine, named SUNLAB, was one of the seven locations considered as future hosts for the large underground laboratory by FP7 LAGUNA project
The neutrino oscillation experiment at SUNLAB was proposed with neutrino beam based on SPS proton driver, 950 km long baseline and 20 kton liquid argon time projection chamber (LAr TPC) as a far detector
Summary
The main purpose of the work presented in this paper was to explore the opportunities which would be provided by the Sieroszowice Underground Laboratory SUNLAB, located in the Polkowice-Sieroszowice mine in Poland, to study the CP-symmetry conservation or violation in the neutrino sector. In 2012, the θ13 mixing angle has been determined to be moderately large [1,2,3] This made it possible to use conventional high-power neutrino beams in accelerator long-baseline experiments to answer the remaining questions in neutrino oscillations, which are the neutrino mass hierarchy and the measurement of the CP-violating phase δCP. Feasibility studies of the future large underground laboratory in Europe, hosting huge detectors with a vast research programme including the accelerator long-baseline oscillation studies, were performed within the EU FP7 LAGUNA project (2008–2011) [8], followed by the EU FP7 LAGUNA-LBNO project (2011–2013) [9]. Long-baseline oscillation studies of the CP-violation discovery potential, with a neutrino beam from CERN and a huge liquid argon time projection chamber (LAr TPC) located at SUNLAB have been performed to conclude the feasibility study of the SUNLAB laboratory.
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