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If a binary liquid mixture, composed of two alternative species with equal amounts, is quenched from a high temperature to a low temperature, below the critical point of demixing, then the mixture will phase separate through a process known…

Statistical Mechanics · Physics 2022-02-04 Thomas J. Longo , Mikhail A. Anisimov

The evolution of the microstructure due to spinodal decomposition in phase separated mixtures has a strong impact on the final material properties. In the late stage of coarsening, the system is characterized by the growth of a single…

Soft Condensed Matter · Physics 2021-12-09 Björn König , Olivier J. J. Ronsin , Jens Harting

We present extensive results from 2-dimensional simulations of phase separation kinetics in a model with order-parameter dependent mobility. We find that the time-dependent structure factor exhibits dynamical scaling and the scaling…

Condensed Matter · Physics 2009-10-30 Sanjay Puri , Alan Bray , Joel Lebowitz

In our previous work [J. Chem. Phys. \textbf{136}, 024502 (2012)], we reported a demixing phase transition of a two-dimensional, binary Heisenberg fluid mixture driven by the ferromagnetic interactions of the magnetic species. Here, we…

Soft Condensed Matter · Physics 2015-06-16 Ken Lichtner , Sabine H. L. Klapp

Isotopic fluctuations in fragment formation are investigated in a quasi-analytical description of the spinodal decomposition scenario. By exploiting the fluctuation-dissipation relations the covariance matrix of density fluctuations is…

Nuclear Theory · Physics 2008-11-26 M. Colonna , F. Matera

Time-dependent properties of the speckled intensity patterns created by scattering coherent radiation from materials undergoing spinodal decomposition are investigated by numerical integration of the Cahn-Hilliard-Cook equation. For binary…

Statistical Mechanics · Physics 2009-10-31 Gregory Brown , Per Arne Rikvold , Mark Sutton , Martin Grant

Understanding the phase behavior of mixtures with many components is important in many contexts, including as a key step toward a physics-based description of intracellular compartmentalization. Here, we study the instabilities of a mixture…

Statistical Mechanics · Physics 2023-08-16 Filipe C Thewes , Matthias Krüger , Peter Sollich

A Cahn-Hilliard-type theory for hydrodynamic fluctuations is proposed that gives a quantitative description of the slowly evolving spatial correlations and structures in density and flow fields in the early stages of evolution of freely…

Statistical Mechanics · Physics 2009-10-31 T. P. C. van Noije , M. H. Ernst

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

We consider the modification of the Cahn-Hilliard equation when a time delay process through a memory function is taken into account. We then study the process of spinodal decomposition in fast phase transitions associated with a conserved…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Koide , G. Krein , Rudnei O. Ramos

We present a phenomenological treatment of diffusion-driven martensitic phase transformations in multi-component crystalline solids that arise from non-convex free energies in mechanical and chemical variables. The treatment describes…

Chemical Physics · Physics 2016-09-29 Shiva Rudraraju , Anton Van der Ven , Krishna Garikipati

The Flory-Huggins theory is a well-established lattice model that is commonly used to study the mixing of distinct chemical species. It can successfully predict phase separation phenomena in blends of incompatible materials. However, it is…

Materials Science · Physics 2025-12-19 Maxime Siber , Olivier J. J. Ronsin , Jens Harting

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

We have performed small-angle light-scattering measurements of the static structure factor of a critical binary mixture undergoing diffusive partial remixing. An uncommon scattering geometry integrates the structure factor over the sample…

Statistical Mechanics · Physics 2009-10-31 Pietro Cicuta , Alberto Vailati , Marzio Giglio

We study spatial correlations and structure factors in a three-state stochastic lattice gas, consisting of holes and two oppositely ``charged'' species of particles, subject to an ``electric'' field at zero total charge. The dynamics…

Statistical Mechanics · Physics 2009-10-30 G. Korniss , B. Schmittmann

It is shown that at a description of a binary solution, in the presence of a liquid phase of variable composition and a stoichiometric solid phase, the concept of chemical potential can be introduced for stoichiometry, which qualitatively…

Statistical Mechanics · Physics 2020-07-07 V. G. Lebedev , A. A. Lebedeva , M. G. Vasin

Phase transition kinetics of aqueous hydroxypropyl cellulose solution was studied by using turbidimetric monitoring and mathematical modelling techniques. Based on the nonlinear Cahn-Hilliard equation with a mobility depending on the…

Soft Condensed Matter · Physics 2021-12-21 V. I. Kovalchuk

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

The phase separation between two immiscible liquids advected by a bidimensional velocity field is investigated numerically by solving the corresponding Cahn-Hilliard equation. We study how the spinodal decomposition process depends on the…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Jean-Louis Barrat , Jorge Kurchan

We develop a theory for thermodynamic instabilities of complex fluids composed of many interacting chemical species organised in families. This model includes partially structured and partially random interactions and can be solved exactly…

Biological Physics · Physics 2022-07-21 Giorgio Carugno , Izaak Neri , Pierpaolo Vivo
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