Introduction to dynamical large deviations of Markov processes
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2017.10.046
Abstract: Abstract These notes give a summary of techniques used in large deviation theory to study the fluctuations of time-additive quantities, called dynamical observables, defined in the context of Langevin-type equations, which model equilibrium and nonequilibrium… read more here.
Keywords: deviations markov; dynamical large; introduction dynamical; markov processes ... See more keywords
Varied phenomenology of models displaying dynamical large-deviation singularities.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.032152
Abstract: Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free energies and equilibrium… read more here.
Keywords: dynamical large; large deviation; varied phenomenology; deviation ... See more keywords
Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.147401
Abstract: We use projected entangled-pair states (PEPS) to calculate the large deviation statistics of the dynamical activity of the two-dimensional East model, and the two-dimensional symmetric simple exclusion process (SSEP) with open boundaries, in lattices of… read more here.
Keywords: sampling dynamical; dynamical large; large deviations; deviations two ... See more keywords