Large Deviations and Ensembles of Trajectories in Stochastic Models(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)

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概要

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• 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.

• 2010-07-27

著者

• JACK Robert

  Department of Physics, University of Bath

• Sollich Peter

  King's College London Department Of Mathematics

• Jack Robert

  Department Of Physics University Of Bath

• SOLLICH Peter

  Department of Mathematics, King's College London

関連論文

• Large Deviations and Ensembles of Trajectories in Stochastic Models(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)
• Duality Symmetries in Driven One-Dimensional Hopping Models(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)

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