Main reference: legendre-transforms-mungan-poster-2026-01-07.pdf

What are Legendre transforms used for?

01_Week1_Jan_260115_123946, p.11

So Legendre transforms convert a function of variable to a function that depends on the conjugate variable of the original variable. But

What is a conjugate variable?

01_Week1_Jan_260115_123946, p.12

  • The product of conjugate variables in thermodynamics have units of energy.

What kind of quantities act as a generalized force in thermodynamics?:: Pressure, temperature

What kind of quantities act as a generalized displacement in thermodynamics?:: volume, entropy