Evans, R. M. L. “Driven steady states: rules for transition rates.” *Physica A: Statistical Mechanics and its Applications* 340, no. 1-3 (2004): 364-372.

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It is well known that transition rates in a canonical ensemble should respect the principle of detailed balance. What are the equivalent constraints that apply in non-equilibrium steady states, implied by maximization of information-entropy? The exact theorem for the non-equilibrium rates yields a substantial amount of non-trivial physics, illustrated in some examples including new results for a simple stochastic hopping model. Some of the implications for shear-controlled phase transitions are discussed.