Appears in collection : 2019 - T3 - WS1 - Nonlinear and stochastic methods in climate and geophysical fluid dynamics

A dynamic phase transition refers to transitions of the underlying physical system from one state to another, as the control parameter crosses certain critical threshold. The notion of dynamic phase transitions is applicable to all dissipative systems, including nonlinear dissipative systems in statistical physics, quantum physics, fluid dynamics, atmospheric and oceanic sciences, biological and chemical systems etc. A topological phase transition (TPT) refers to the change of the topological structure in the physical space as certain system control parameter crosses a critical threshold. In this talk, we present the basic theories for these transitions and applications to statistical physics, and to geophysical fluid dynamics.

This is joint work with Tian Ma.