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