# Constructing auxiliary dynamics for nonequilibrium stationary states by variance minimization.

@article{Ray2020ConstructingAD, title={Constructing auxiliary dynamics for nonequilibrium stationary states by variance minimization.}, author={Ushnish Ray and Garnet Kin-Lic Chan}, journal={The Journal of chemical physics}, year={2020}, volume={152 10}, pages={ 104107 } }

We present a strategy to construct guiding distribution functions (GDFs) based on variance minimization. Auxiliary dynamics via GDFs mitigates the exponential growth of variance as a function of bias in Monte Carlo estimators of large deviation functions. The variance minimization technique exploits the exact properties of eigenstates of the tilted operator that defines the biased dynamics in the nonequilibrium system. We demonstrate our techniques in two classes of problems. In the continuum… CONTINUE READING

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