I'm looking for a mathematical treatment of mass action kinetics under the assumption of detailed balance. In particular, I'm interested in the proof that the free energy is a global Lyapunov function.
There are many papers that prove this for the more general case of "complex balance". However, I'm not particularly interested in that generalisation, because I'm interested in applications to chemistry, which means making different generalisations that are not compatible with it.
So my questions are:
What is a nice, simple proof that assumes detailed balance and shows that the free energy is a global Lyapunov function?
Is there a good overview paper that gives a concise mathematical treatment of the subject without making generalisations beyond what can be observed in a real (closed) chemical system?