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Condensed Matter > Statistical Mechanics
Title: Universal Hyperuniformity in Active Field Theories
(Submitted on 4 Oct 2023 (v1), last revised 25 Mar 2024 (this version, v2))
Abstract: We show that dry scalar-order active field theories (AFTs) are universally hyperuniform, i.e., density fluctuations are anomalously suppressed in the long-time limit regardless of the integrability or functional form of the active contributions up to third order in gradient terms. These AFTs include Active model B, Active model B+, and effective Cahn-Hilliard models. Moreover, density variances and spectral densities are virtually indistinguishable from that of passive phase-separated hyperuniform fields. Higher moments of the density fluctuations, however, reveal activity-dependent higher-order correlations that are not captured by conventional two-point measures that characterize hyperuniformity.
Submission history
From: Yuanjian Zheng [view email][v1] Wed, 4 Oct 2023 18:57:41 GMT (3534kb,D)
[v2] Mon, 25 Mar 2024 14:03:17 GMT (3458kb,D)
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