Large Deviations and Ensembles of Trajectories in Stochastic Models

摘要: We consider ensembles of trajectories associated with large deviations time-integrated quantities in stochastic models. Motivated by proposals that these are relevant for physical processes such as shearing and glassy relaxation, we show how they can be generated directly using auxiliary processes. illustrate our results the GlauberIsing chain, which biased exhibit ferromagnetic ordering. discuss relation between quantum phase transitions.