Hey, I was wondering in what way the detailed balance condition (DBC) has to do with thermodynamic equilibrium. The DBC is defined as [tex] W(i\to j)P(i) = W(j\to i)P(j) [/tex] with W the rates (probabilities per unit time) to jump from state i to j. P(i) is the equilibrium prob. density to have state i, this could be e.g. a Boltzmann Gibbs distribution in case of canonical equilibrium. When for a (Markov jump) proces the above equality holds, then the system is time-reversible: it is even likely to follow a path forward in time or backwards in time My question is: The above formula is always possible to write down, but how is this related to equilibruim?