https://gdpark.blog/tags/helmholtz-free-energy/Recent content in Helmholtz Free Energy on gdpark.blogHugoenFri, 01 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-42-grand-potential/Sun, 19 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-42-grand-potential/We define the grand potential Φ_G = -k_BT·ln(Z_G) by building on how F works in the canonical ensemble — because the partition function holds all the power, hehehe!https://gdpark.blog/posts/thermal-statistical-43-chemical-potential-of-an-ideal-gas/Mon, 20 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-43-chemical-potential-of-an-ideal-gas/We derive μ = k_BT ln(nλ_th³) for an ideal gas via the canonical ensemble and Helmholtz free energy — a relation we’ll keep pulling out freely from here on.https://gdpark.blog/posts/thermal-statistical-45-chemical-potential-of-photons/Tue, 21 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-45-chemical-potential-of-photons/Turns out when a system doesn’t conserve particle number — like photons — the chemical potential just goes to zero at equilibrium, and that’s actually a huge deal!!https://gdpark.blog/posts/thermal-statistical-56-superheating-and-supercooling/Fri, 01 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-56-superheating-and-supercooling/We dig into what actually happens below T_c — using Gibbs free energy to figure out which state a system really lands in when the P-V curve gets all weird and dented.