Question

What is the link between free energy and lagrangian?

Answer 1

exchanges heat with the environment. Energy, in its turn, can be extracted from lagrangian under the symmetry of time (∂L∂t=0)" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-weight: 400; font-stretch: inherit; line-height: normal; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; color: rgb(12, 13, 14); orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-style: initial; text-decoration-color: initial; position: relative;">(∂L∂t=0)(∂L∂t=0). However, I can't find any sources that links the free energy directly from lagrangian. Is there any way to do that? If it is, what symmetry is it based on?