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Phase separation in multicomponent fluids is central to understanding the organization of complex materials and biological structures. The Cahn-Hilliard-Navier-Stokes (CHNS) equations offer a robust framework for modeling such systems,…

Soft Condensed Matter · Physics 2025-07-01 Nadia Bihari Padhan , Axel Voigt

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…

Statistical Mechanics · Physics 2024-03-26 Yuanjian Zheng , Michael A. Klatt , Hartmut Löwen

Some nonequilibrium systems exhibit anomalous suppression of the large-scale density fluctuations, so-called hyperuniformity. Recently, hyperuniformity was found numerically in a simple model of chiral active fluids [Q.-L. Lei et al., Sci.…

Soft Condensed Matter · Physics 2023-11-13 Yuta Kuroda , Kunimasa Miyazaki

Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in patterns and is relevant across diverse physical systems. We…

Soft Condensed Matter · Physics 2025-09-09 Abel H. G. Milor , Otto Sumray , Heather A. Harrington , Axel Voigt , Marco Salvalaglio

We demonstrate that the complex spatiotemporal structure in active fluids can feature characteristics of hyperuniformity. Using a hydrodynamic model, we show that the transition from hyperuniformity to non-hyperuniformity and…

Soft Condensed Matter · Physics 2023-11-28 Rainer Backofen , Abdelrahman Y. A. Altawil , Marco Salvalaglio , Axel Voigt

Extensions to kinetic theory and hydrodynamic models are proposed that account for the existence of multi-particle contacts. In the presence of multi-particle contacts (involving elastic, reversible, potential contact energy), dissipation…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Alexander Goldshtein

We investigate a generic two-field Cahn-Hilliard model with variational and nonvariational coupling. It describes, for instance, passive and active ternary mixtures, respectively. Already a linear stability analysis of the homogeneous mixed…

Soft Condensed Matter · Physics 2022-11-30 Tobias Frohoff-Hülsmann , Jana Wrembel , Uwe Thiele

Disordered hyperuniform structures are locally random while uniform like crystals at large length scales. Recently, an exotic hyperuniform fluid state was found in several non-equilibrium systems, while the underlying physics remains…

Soft Condensed Matter · Physics 2019-11-14 Qunli Lei , Ran Ni

While nucleation in typical active and driven fluids often appears equilibrium-like, striking departures emerge when large-scale fluctuations are strongly suppressed. Here, we investigate nucleation in nonequilibrium hyperuniform fluids by…

Statistical Mechanics · Physics 2026-04-22 Raphaël Maire

Hydrodynamic interactions driven by particle activity are ubiquitous in active colloidal systems. Although these interactions are strongly influenced by the interfacial actuation mechanism and geometry of the swimming particles, theoretical…

Soft Condensed Matter · Physics 2025-06-17 Anson G. Thambi , William E. Uspal

We study the exact fluctuating hydrodynamics of the scaled Light-Heavy model (sLH), in which two species of particles (light and heavy) interact with a fluctuating surface. This model is similar in definition to the unscaled Light-Heavy…

Statistical Mechanics · Physics 2025-03-21 Shilpa Prakash , Mustansir Barma , Kabir Ramola

We present a continuum theory of self-propelled particles, without alignment interactions, in a momentum-conserving solvent. To address phase separation we introduce a scalar concentration field $\phi$ with advective-diffusive dynamics.…

Soft Condensed Matter · Physics 2015-11-18 Adriano Tiribocchi , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates

In this paper, we study a hydrodynamic phase-field system modeling the deformation of functionalized membranes in incompressible viscous fluids. The governing PDE system consists of the Navier-Stokes equations coupled with a convective…

Analysis of PDEs · Mathematics 2022-06-22 Hao Wu , Yuchen Yang

Many systems exhibit a phase where the order parameter is spatially modulated. These patterns can be the result of a frustration caused by the competition between interaction forces with opposite effects. In all models with local…

Statistical Mechanics · Physics 2014-01-21 Simon Villain-Guillot

A colloidal monolayer embedded in the bulk of a fluid experiences a "compressible", long-range hydrodynamic interaction which, far from boundaries, leads to a breakdown of Fick's law above a well defined length scale, showing up as…

Soft Condensed Matter · Physics 2026-05-12 M. Chamorro-Burgos , Alvaro Domínguez

We uncover a new type of turbulence -- activity-induced homogeneous and isotropic turbulence in a model that has been employed to investigate motility-induced phase separation (MIPS) in a system of microswimmers. The active…

Fluid Dynamics · Physics 2024-02-05 Nadia Bihari Padhan , Kolluru Venkata Kiran , Rahul Pandit

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

We show theoretically that an imposed uniaxial anisotropy leads to new universality classes for the dynamics of active particles suspended in a viscous fluid. In the homogeneous state, their concentration relaxes superdiffusively, stirred…

Soft Condensed Matter · Physics 2026-03-26 Lokrshi Prawar Dadhichi , Suvendra K. Sahoo , K. Vijay Kumar , Sriram Ramaswamy

We consider coarsening dynamics associated with a Burgers--Cahn--Hilliard system modeling a two-phase flow in one space dimension. Our emphasis is on the effect that coupling between the phase and fluid dynamics has on coarsening rates, and…

Analysis of PDEs · Mathematics 2024-05-21 Peter Howard , Adam Larios , Quyuan Lin

We investigate the hydrodynamic behavior and local equilibrium of the multilane exclusion process, whose invariant measures were studied in our previous paper \cite{mlt1a}. The dynamics on each lane follows a hyperbolic time scaling,…

Probability · Mathematics 2025-02-03 Gideon Amir , Christophe Bahadoran , Ofer Busani , Ellen Saada
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