Journal Article FZJ-2018-00123

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Conformal Invariance in Driven Diffusive Systems at High Currents

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2017
APS College Park, Md.

Physical review letters 118(3), 030601 () [10.1103/PhysRevLett.118.030601]

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Abstract: We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatiotemporal density correlations in one space dimension are fully determined by conformal field theory with central charge c=1, corresponding to a ballistic universality class with dynamical exponent z=1. The full phase diagram for general atypical behavior exhibits the conformally invariant regime and, for atypically low current or activity, a region of phase separation. The phase transition line between these two regimes corresponds to typical behavior and the dynamics belongs to the Kardar-Parisi-Zhang universality class with dynamical exponent z=3/2, except for a diffusive point with z=2. The exact universal dynamical structure function is obtained in explicit form from the one-dimensional asymmetric simple exclusion process with periodic and open boundaries in the limit of maximal current.

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Contributing Institute(s):
  1. Theorie der Weichen Materie und Biophysik (ICS-2)
Research Program(s):
  1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2017
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 Record created 2018-01-05, last modified 2024-06-10