# Analysis Seminar

#### Topological and Dynamic Phase Transitions in Statistical Physics

**Speaker:**
Shouhong Wang, TBA

**Location:**
Warren Weaver Hall 1302

**Date:**
Thursday, March 14, 2019, 11 a.m.

**Synopsis:**

Recently we have developed a dynamic transition theory, leading to a

general principle that all dynamic transitions for dissipative systems can

be classified into three categories: continuous, catastrophic and random.

We use the dynamic transition theory to study equilibrium phase transition

in statistical physics. First we show that there exist only first, second

and third order transitions. Second, we demonstrate that the discrepancy

for critical exponents between theories and the experiments is due to

fluctuations.

The second part of the talk is on topological phase transitions.

Intuitively speaking, topological phase transition studies the change of

the topological structure in the physical space as certain system

parameter crosses a critical threshold. In this part of the talk, we focus

on two typical examples of topological phase transitions: quantum phase

transition and boundary-layer separation of incompressible fluid flows.

This is joint work with Tian Ma.