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Feb 28 at 22:16 comment added Yair M @User198 I would guess thermal physics by Kittle would be a good place to start. General classical mechanics and path integral minimization can be found in any classics book such as Landau Liefshitz or Goldstein
Feb 15 at 20:57 comment added User198 @YairM I would be really grateful if you could share some references for the sentence you said: "in statistical mechanics, free energy (Helmholtz or Gibbs) is a quantity that minimizes the path and satisfies Hamilton’s equation (or Euler Lagrange equation in Lagrangian mechanics)". I asked this question: physics.stackexchange.com/questions/797774/… ,but no one provided a satisfactory answer. This sentence of yours is exactly what I am looking for.
Sep 1, 2023 at 9:35 comment added Yair M I guess this is a valid interpretation. Generally speaking though, in statistical mechanics, free energy (Helmholtz or Gibbs) is a quantity that minimizes the path and satisfies Hamilton’s equation (or Euler Lagrange equation in Lagrangian mechanics). Its components are a sum multiplications of what is known as conjugate pairs (spin and magnetic field for instance is another example, as well as electric voltage and and charge). For each pair taking the derivative of energy with respect to one variable can be thought of as a distribution of the other.
Aug 30, 2023 at 10:31 comment added bananenheld Would this suggest that pressure is equal to the 'local energy density' and not the 'overall energy density'?
Jan 20, 2017 at 12:04 vote accept A. Smith
Jan 20, 2017 at 11:47 history answered Yair M CC BY-SA 3.0