11. Detailed balance tells us that the following equation must hold:12. In 1952 he proved the principle of semi-detailed balance for kinetics without microscopic reversibility. 13. For example, the famous Boltzmann H-theorem and generalized mass action kinetics with detailed balance . 14. Lorentz stated that the principle of detailed balance is not applicable to collisions of polyatomic molecules. 15. It did not publish a detailed balance sheet. 16. Detailed balance implies that, around any closed cycle of states, there is no net flow of probability.17. If furthermore the transitions follow detailed balance , the KMC algorithm can be used to simulate thermodynamic equilibrium. 18. Substituting these expressions into the equation of detailed balancing and remembering that " h? " } } yields: 19. However, KMC is widely used to simulate non-equilibrium processes, in which case detailed balance need not be obeyed. 20. In the case of a positive transition matrix, the " no net flow " condition implies detailed balance .
