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We describe a framework to significantly reduce the computational effort toevaluate large deviation functions of time integrated observables withinnonequilibrium steady states. We do this by incorporating an auxiliary dynamicsinto trajectory based Monte Carlo calculations, through a transformation of thesystem's propagator using an approximate guiding function. This procedureimportance samples the trajectories that most contribute to the large deviationfunction, mitigating the exponentially complexity of such calculations. Weillustrate the method by studying driven diffusions and interacting latticemodels in one and two dimensions. Our work offers an avenue to calculate largedeviation functions for high dimensional systems driven far from equilibrium.

Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics