Large deviations and ensembles of trajectories in stochastic models

Details Large deviations and ensembles of trajectories in stochastic models Large deviations and ensembles of trajectories in stochastic models

2009-11-01

arxiv.org/abs/0911.0211v2

Prog. Theor. Phys. Supp. 184, 304 (2010)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 1 fig

Scientific paper

10.1143/PTPS.184.304

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

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