The variations of soil and air temperature during Total solar eclipse of 29th March 2006 were investigated using the nonlinear dynamical method which is Recurrence Quantification Analysis (RQA). The low values of Recurrence Quantifiers (DET, ENT, LMAX, RR, LAM) was observed in which soil and air temperatures at lower level exhibit high chaotic nature and exhibit low chaos at the greater heights of measurement. The similarities of DET, ENT and Lmax, arise due to the fact that their measurements are based on the diagonal lines of RP in which they are all low when system is chaotic, that is the system is far from equilibrium but when the system attains equilibrium, then the values of Lmax, DET and ENT are all high. It was also observed that both the soil and air temperatures decrease at the higher level and increases at the lower level of measurement during the event of Total solar eclipse. LMAX of air temperature measured at different height on the pre-eclipse day, eclipse day and post-day gives loweet value at 6m and 12m heights on the day of solar eclipse due to the fluctuations of the effect of the solar eclipse on air temperature during the event. The divergences of the nearest trajectories for Air temperature at 3m height, soil temperature at 5cm depth and Soil heat flux on the day of solar eclipse are all positive values, that is, their fluxes are expanding and densities are decreasing during the total solar eclipse event of 29th March, 2006. While its flux at 30 cm depth is contracting and density is increasing at that point during the total solar eclipse event. It was also observed that, at deeper level of soil temperature and higher level of air temperature, their net flux entering the element space is equal to the net flux leaving the element after the total solar eclipse event.
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