-
-
Introduction
-
Coarse graining Alice and Dinah
-
Coarse graining part I - Clustering algorithms
-
Coarse graining part II - Entropy
-
-
-
Markov Chains
-
Mathematics of coarse grained Markov chains
-
Mathematics of Coarse grained Markov Chains: The General Case
-
A puzzle: origin of the slippy counter
-
Where we are so far
-
-
-
Cellular Automata: Introduction
-
Israeli and Goldenfeld; projection and commuting diagrams
-
Networks of Renormalization
-
-
-
Fixing a projection: From CA’s to Ising
-
Introduction to the Ising Model
-
Coarse-graining the Lattice
-
Inducing Quartets & Commutation Failure
-
Finding Fixed Points
-
Ising Model Simulations
-
-
-
Poking the Creature: An Introduction to Group Theory
-
Irreversible Computations, Forgetful Computers and the Krohn-Rhodes Theorem
-
-
-
From Quantum Electrodynamics to Plasma Physics
-
The Thermal Physics of Plasma
-
How does a particle move the plasma?
-
Charge Renormalization and Feedback
-
-
-
Conclusion: Keeping the things that matter
-
-
4.5 Finding Fixed Points » Quiz Solution
What's the renormalization group flow for the Ising model in our coarse-grained approximation?
A. a 1-dimensional model space flows to a single point
B. a 1-dimensional model space flows to one of two distinct points
C. a 1-dimensional model space flows to one of three distinct points
D. none of the above
Answer: (C). When beta is below a critical value, repeated renormalizations drive you to zero -- a decoupled state. When it's above a critical value, beta gets extremely large. When it's precisely at the critical value, it stays fixed at a finite (non-zero) value.