Continuous Phase Transition

• Near critical point, we expect scaling behavior: all physical quantities have power-law dependencies on the control parameter

• No characteristic scales in observables

• Critical exponents of power-laws are main quantities of interest

  • t, Cluster size: ns(pc) _ s-t
  • b, Order parameter: P _ (p-pc)b
  • g, Divergence of s: _ |p-pc|-g

• Hyper-scaling assumption 2-a = (t - 1) / s = 2b + g

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