Skip to main content
grasp.study
Back to course
Log in
Get started
Someone wanted to learn this too, so Grasp built them a personal learning path.
Create your own
Phase transitions and critical phenomena
·
Module 11
Advanced Topics in Critical Phenomena
1
The Mermin-Wagner Theorem
State the Mermin-Wagner theorem and explain why continuous symmetries cannot be spontaneously broken in d≤2.
2
The Kosterlitz-Thouless Transition: Topology in 2D Systems
Describe the Kosterlitz-Thouless (KT) transition in the 2D XY model as a topological phase transition without long-range order.
3
Vortex-Antivortex Unbinding and the Kosterlitz-Thouless Transition
Explain the role of vortex-antivortex pair unbinding in driving the KT transition.
4
Critical Slowing Down: Dynamics Near Phase Transitions
Introduce dynamic critical phenomena and the concept of critical slowing down near a phase transition.
5
Dynamic Scaling and the Critical Exponent z
State the dynamic scaling hypothesis and define the dynamic critical exponent z.
Previous module
The Epsilon Expansion
Next module
Computational Methods for Phase Transitions