What is a dynamical description of phase transition?

Question

In standard textbooks, it seems only giving a phenomenological description (like Landau paradigm, etc.). Is there a dynamical description？

Answer 1

If you're thinking of classical phase transitions, two relevant keywords are dynamical critical phenomena and time-dependent Ginzburg-Landau theory. It's a rich field, covered in more specialized textbooks like Nigel Goldenfeld's Lectures on Phase Transitions and the Renormalization Group. Quantum systems also allow for more exotic, inherently dynamical phase transitions.