Phase transitions and critical phenomena
Why do wildly different systems behave identically near a critical point?
MIT OCW
Kardar on fields, universality and the renormalization group.
Advanced · Module 14
Where quantum mechanics meets 10²³ particles and produces the entire material world — including the device you are reading this on.
By the end of this module
You can explain why a transistor works, from quantum mechanics upward.
Why do wildly different systems behave identically near a critical point?
MIT OCW
Kardar on fields, universality and the renormalization group.
Why is one solid a metal and the next an insulator?
How does doping a crystal let you build a switch with no moving parts?
How can resistance be exactly zero rather than merely small?
Bardeen, Cooper & Schrieffer, 1972
Nobel lectures are free, authoritative, and written to be understood.
Check yourself
Every answer comes with the reasoning, not just a verdict. Getting one wrong and reading why is the point.
01A material conducts when:
02Universality near a critical point means:
03Cooper pairs form because: