Verification of Air Temperature Variation with Form of Potential

Yuuki Shimizu¹ and Hiroki Takada²

¹Institute for Hydrospheric-Atmospheric Sciences, Nagoya University, Nagoya 464-8601, Japan
²Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

(Received October 5, 2000; Accepted November 6, 2001)

Keywords: Air Temperature Variation, Form of Histogram, Stochastic Dynamical Equation, Time-Averaged Potential, Delay Convention

Abstract. An upward tendency of air temperature has been pointed out by many researches and it can be also suggested with statistical tests. However, these tests are not enough to elucidate a system of the air temperature variation. We obtained conditions on the variation for their time averaged potentials were constructed with histograms on time series data. We propose a form on the system that gives a physical interpretation with the potentials. We analyzed time series data of air temperature variation at Nagoya. We can observe that a new peak of the histogram appears on higher temperature as time passes, and we can assume the same time variation of form on the time-averaged potentials. This variation can be explained by a hypothesis that the temperature variation system has a physical mechanism in accordance with a delay convention on one-dimensional cut off of wedge catastrophe.