Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.060601
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Funding
- EPSRC [EP/I003797/1]
- Engineering and Physical Sciences Research Council [EP/I003797/1] Funding Source: researchfish
- EPSRC [EP/I003797/1] Funding Source: UKRI
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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.
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