Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems.

We analyze biased ensembles of trajectories for diffusive systems. In trajectories biased either by the total activity or the total current, we use fluctuating hydrodynamics to show that these systems exhibit phase transitions into "hyperuniform" states, where large-wavelength density fluctuations are strongly suppressed. We illustrate this behavior numerically for a system of hard particles in one dimension and we discuss how it appears in simple exclusion processes. We argue that these diffusive systems generically respond very strongly to any nonzero bias, so that homogeneous states with "normal" fluctuations (finite compressibility) exist only when the bias is very weak.

• Publication year

  2014

• Venue

  Physical Review Letters

• Publication date

  2014-09-13

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.114.060601arXiv 1409.3986PMID 25723197
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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