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Chemically active mixtures exhibit complex patterns that emerge from the interplay of physical interactions and reactions among components. Individually, these two processes are well-understood: Physical interactions can give rise to phase…

Soft Condensed Matter · Physics 2026-04-30 Chengjie Luo , Yicheng Qiang , Guido L. A. Kusters , David Zwicker

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

We report the experimental observation of a square crystalline phase in a vibrated binary mixture of spherical grains. This structure spontaneously forms from a disordered state, consistently with predictions obtained in an equilibrium…

Soft Condensed Matter · Physics 2025-12-09 A. Plati , R. Maire , F. Boulogne , F. Restagno , F. Smallenburg , G. Foffi

We combine experiments, theory, and simulations to investigate the coexistence of nonequilibrium phases emerging from interacting colloidal particles that are electrokinetically propelled in a nematic liquid crystal solvent. We directly…

Soft Condensed Matter · Physics 2018-06-27 Josep M. Pagès , Arthur V. Straube , Pietro Tierno , Jordi Ignés-Mullol , Francesc Sagués

Multicomponent phase separation is a routine occurrence in both living and synthetic systems. Thermodynamics provides a straightforward path to determine the phase boundaries that characterize these transitions for systems at equilibrium.…

Statistical Mechanics · Physics 2025-12-08 Yu-Jen Chiu , Daniel Evans , Ahmad K. Omar

Phase separation between two fluids in two-dimensions is investigated by means of Direct Numerical Simulations of coupled Navier-Stokes and Cahn-Hilliard equations. We study the phase ordering process in the presence of an external stirring…

Chaotic Dynamics · Physics 2009-11-11 S. Berti , G. Boffetta , M. Cencini , A. Vulpiani

Understanding how interparticle interactions govern phase behavior is central to controlling self-organization in multicomponent soft-matter systems. In particular, the role of cross-interactions between unlike components remains…

Soft Condensed Matter · Physics 2026-03-03 Umesh Dhumal

The equilibrium behavior of binary mixtures can be understood through the competition of energy scales, which classifies their corresponding phase diagrams into distinct topological regimes (Types I-IV). However, in many soft-matter…

Investigation of simple far-from-equilibrium systems exhibiting phase separation leads to the conclusion that phase coexistence is not well defined in this context. This is because the properties of the coexisting nonequilibrium systems…

Statistical Mechanics · Physics 2016-02-11 Ronald Dickman

We review a few representative examples of granular experiments or models where phase separation, accompanied by domain coarsening, is a relevant phenomenon. We first elucidate the intrinsic non-equilibrium, or athermal, nature of granular…

Statistical Mechanics · Physics 2015-04-29 Andrea Baldassarri , Andrea Puglisi , Alessandro Sarracino

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Nonequilibrium phase transitions are routinely observed in both natural and synthetic systems. The ubiquity of these transitions highlights the conspicuous absence of a general theory of phase coexistence that is broadly applicable to both…

Statistical Mechanics · Physics 2023-05-30 Ahmad K. Omar , Hyeongjoo Row , Stewart A. Mallory , John F. Brady

Fluid mixtures, such as the cellular cytoplasm and synthetic DNA nanostars, can spontaneously compartmentalize into many coexisting phases through liquid-liquid phase separation. Despite the diversity of fluid structures that emerge from…

Fluid Dynamics · Physics 2026-03-05 Michael Rennick , Xitong Zhang , Halim Kusumaatmaja

We perform extensive numerical simulations of a paradigmatic model glass former, the hard-sphere fluid with 10% polydispersity. We sample from the ensemble of trajectories with fixed observation time, whereby single trajectories are…

Statistical Mechanics · Physics 2020-01-28 Matteo Campo , Thomas Speck

One of the hypothesized functions of biomolecular condensates is to act as chemical reactors, where chemical reactions can be modulated, i.e. accelerated or slowed down, while substrate molecules enter and products exit from the condensate.…

Biological Physics · Physics 2024-07-02 Alexandra Shelest , Hugo Le Roy , Daniel M. Busiello , Paolo De Los Rios

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

Biological Physics · Physics 2023-07-11 William M. Jacobs

We investigate elastic, inelastic, and coalescent collisions between two-dimensional flat-top solitons supported by the cubic-quintic nonlinear Schr\"odinger equation. Numerical simulations reveal distinct collision regimes ranging from…

Pattern Formation and Solitons · Physics 2026-05-07 M. O. D. Alotaibi , Y. O. A. Abughnheim , L. Al Sakkaf , U. Al Khawaja

If two phases exist at the same time, such as a gas and a liquid, they have the same temperature. This fundamental law of equilibrium physics is known to apply even to many non-equilibrium systems. However, recently, there has been much…

Soft Condensed Matter · Physics 2024-04-19 Lukas Hecht , Iris Dong , Benno Liebchen

We discover a new type of nonequilibrium phase transition in a model of chromatin dynamics, which accounts for the coherent motions that have been observed in experiment. The coherent motion is due to the long-range cooperation of molecular…

Soft Condensed Matter · Physics 2023-07-27 Iraj Eshghi , Alexanda Zidovska , Alexander Y. Grosberg

Virtually every biological function emerges through the organization of molecules in time and space. Consequently, a major challenge in statistical physics is to uncover the universal principles governing macromolecular self-organization…

Statistical Mechanics · Physics 2026-03-16 E. Meyberg , J. F. Robinson , T. Speck