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A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first order $\Gamma-$limit is proven to exhibit a separation of…

Analysis of PDEs · Mathematics 2023-05-11 Riccardo Cristoferi , Irene Fonseca , Likhit Ganedi

We develop a thermodynamic description of particles held at a fixed surface potential. This system is of particular interest in view of the continuing controversy over the possibility of a fluid-fluid phase separation in aqueous colloidal…

Soft Condensed Matter · Physics 2009-11-10 Yan Levin , Emmanuel Trizac , Lyderic Bocquet

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

Microphase separation is common in active biological systems as exemplified by the separation of RNA and DNA-rich phases in the cell nucleus driven by the transcriptional activity of polymerase enzymes acting similarly to amphiphiles in a…

Soft Condensed Matter · Physics 2025-07-22 Rakesh Chatterjee , Hui-Shun Kuan , Frank Julicher , Vasily Zaburdaev

We present a phase-field model based on the Cahn-Hilliard equation to investigate the properties of phase separation in DNA nanostar systems. Leveraging a realistic free-energy functional derived from Wertheim theory, our model captures the…

Soft Condensed Matter · Physics 2025-04-23 Marco Cappa , Francesco Sciortino , Lorenzo Rovigatti

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

Confinement can have a dramatic effect on the behavior of all sorts of particulate systems and it therefore is an important phenomenon in many different areas of physics and technology. Here, we investigate the role played by the softness…

A novel two-leaflet description of lipid membranes is proposed. Within its framework, phase separation phenomena in multicomponent biological membranes are analyzed. As we show, interactions between the leaflets tend to suppress macroscopic…

Biological Physics · Physics 2016-02-03 Ramon Reigada , Alexander S. Mikhailov

Fluid phase behavior of charge-stabilized colloidal suspensions is explored by applying a new variant of the Gibbs ensemble Monte Carlo simulation method to a coarse-grained one-component model with implicit microions and solvent. The…

Soft Condensed Matter · Physics 2011-06-28 Ben Lu , Alan R. Denton

Acid-base equilibria directly influence the functionality and behavior of particles in a system. Due to the ionizing effects of acid-base functional groups, particles will undergo charge exchange. The degree of ionization and their…

Soft Condensed Matter · Physics 2023-10-10 Leticia López-Flores , Monica Olvera de la Cruz

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

Soft Condensed Matter · Physics 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

A general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration. This measure is devised for the situations when the…

Strongly Correlated Electrons · Physics 2011-05-02 Boris V. Fine , Takeshi Egami

Diffusiophoresis is the spontaneous motion of particles under gradients of solutes. In electrolyte-driven diffusiophoresis, the zeta potential of the particles is an important surface property that characterizes diffusiophoretic mobility.…

Soft Condensed Matter · Physics 2022-09-30 Suin Shim , Janine K. Nunes , Guang Chen , Howard A. Stone

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

Materials Science · Physics 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

We present a phenomenological theory for the phase behavior of ternary mixtures of cholesterol and saturated and unsaturated lipids, one which describes both liquid and gel phases, and illuminates the mechanism of the behavior. In a binary…

Biological Physics · Physics 2008-06-05 Gregory Garbès Putzel , Michael Schick

Phase separation and a tendency to form inhomogeneous structures seems to be a generic property of systems with strongly correlated electrons. After shortly summarising the existing theoretical results in this direction, I concentrate on…

Condensed Matter · Physics 2009-10-31 D. Khomskii

A variational model for the interaction between homogenization and phase separation is considered. The focus is on the regime where the latter happens at a smaller scale than the former, and when the wells of the double well potential are…

Analysis of PDEs · Mathematics 2022-05-26 Riccardo Cristoferi , Irene Fonseca , Likhit Ganedi

Biologically functional liquid-liquid phase separation of intrinsically disordered proteins (IDPs) is driven by interactions encoded by their amino acid sequences. Little is currently known about the molecular recognition mechanisms for…

Biomolecules · Quantitative Biology 2017-11-15 Yi-Hsuan Lin , Jacob P. Brady , Julie D. Forman-Kay , Hue Sun Chan

We employ heterodyne interferometry to investigate the effect of a single organic molecule on the phase of a propagating laser beam. We report on the first phase-contrast images of individual molecules and demonstrate a single-molecule…

Quantum Physics · Physics 2015-05-27 M. Pototschnig , Y. Chassagneux , J. Hwang , G. Zumofen , A. Renn , V. Sandoghdar

Swimming cells often have to self-propel through fluids displaying non-Newtonian rheology. While past theoretical work seems to indicate that stresses arising from complex fluids should systematically hinder low-Reynolds number locomotion,…

Biological Physics · Physics 2015-06-30 Yi Man , Eric Lauga
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