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Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system
Fang Yang1, Xu Sun1, Jinqiao Duan2
1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China.
Abstract:
We study the probabilistic behavior of a simplified stochastic thermohaline circulation system during the transition between two given equilibrium states. Theoretically, there are an infinite number of possible pathways for the system to change from one state to another, and in many practical situations it is unclear how the state of the system exactly evolves. We propose to use the maximum likelihood state to estimate the true state of the system. It is shown that a jump occurs along the trajectory of the maximum likelihood state during the transitions between two given equilibrium states.
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