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Additives of sparingly soluble components are known to slow down or completely inhibit Ostwald ripening in dispersed systems. In this paper series, our earlier model of the stabilization against Ostwald ripening is revisited and extended…

Soft Condensed Matter · Physics 2026-05-27 Alexey Kabalnov

This paper considers an Ostwald ripening process in which new droplets are injected at a constant rate, with a fixed distribution of radii, and in which droplets are removed when they grow to a specified maximum radius. This process…

Statistical Mechanics · Physics 2025-03-25 Michael Wilkinson

The ostwald ripening of bubbles is studied by molecular dynamics simulations involving up to 679 million Lennard-Jones particles. Many bubbles appear after depressurizing a system that is initially maintained in the pure-liquid phase, and…

Fluid Dynamics · Physics 2015-06-22 Hiroshi Watanabe , Masaru Suzuki , Hajime Inaoka , Nobuyasu Ito

Applicability of classical Lifshitz-Slyozov theory of Ostwald ripening is analyzed and found limited by relatively large cluster sizes due to restrictions imposed by theoretical assumptions. An assumption about the steady state ripening…

Materials Science · Physics 2019-07-17 V. M. Burlakov

Ostwald ripening in O/W emulsions in presence of solubilizing micelles is theoretically studied. At small average sizes, the kinetics is predicted to follow the classical Lifshits-Slezov-Wagner cubic law, with the rate proportional to the…

Soft Condensed Matter · Physics 2026-02-26 Alexey Kabalnov

Microbubble solutions have a wide range of industrial applications, including heat transfer, agriculture, and water treatment. Therefore, understanding and controlling the size variation of bubbles is critical. In this study, we develop a…

Chemical Physics · Physics 2025-03-31 Yuki Uematsu

Phase separation of biomolecular condensates promotes membrane-free compartmentalization in cells. The dynamics of these biocondensates is routinely regulated by energy-consuming processes. Here, we devise a theory pinpointing how active…

Biological Physics · Physics 2026-01-08 Benjamin Sorkin , Ned S. Wingreen

The classical Lifshitz-Slyozov-Wagner theory of domain coarsening predicts asymptotically self-similar behavior for the size distribution of a dilute system of particles that evolve by diffusional mass transfer with a common mean field.…

Materials Science · Physics 2015-06-25 Barbara Niethammer , Robert L. Pego

Absence of Ostwald ripening has been observed in living cells, which operate out of equilibrium. Using molecular dynamics we study the behaviour of liquid droplets away from equilibrium in a system of particles interacting with each other…

Biological Physics · Physics 2025-08-01 Bradley D. Keister , Saeed Najafi , Joan-Emma Shea , Krastan B. Blagoev

Partially miscible bubble populations trapped in porous media are ubiquitous in subsurface applications such as underground hydrogen storage (UHS), where cyclic injections fragment gas into numerous bubbles with distributions of sizes and…

Soft Condensed Matter · Physics 2025-12-25 Nicolas Bueno , Luis F. Ayala , Yashar Mehmani

Bubble solutions are of growing interest because of various technological applications in surface cleaning, water treatment, and agriculture. However, their physicochemical properties such as the stability and interfacial charge of bubbles…

Soft Condensed Matter · Physics 2023-05-26 Sota Inoue , Yasuyuki Kimura , Yuki Uematsu

The LSW theory of Ostwald ripening concerns the time evolution of the size distribution of a dilute system of particles that evolve by diffusional mass transfer with a common mean field. We prove global existence, uniqueness and continuous…

Analysis of PDEs · Mathematics 2007-05-23 Barbara Niethammer , Robert L. Pego

There is a dimensionless parameter which enters into the equation for the evolution of supersaturation in Ostwald ripening processes. This parameter is typically a large number. Here it is argued that the consequent stiffness of the…

Statistical Mechanics · Physics 2025-12-16 Michael Wilkinson

The ripening dynamics in passive systems is governed by the theory of Lifshitz-Slyozov-Wagner (LSW). Here, we present an analog theory for reversed ripening in active systems. To derive the dynamic theory for the droplet size distribution,…

Soft Condensed Matter · Physics 2025-10-06 Jonathan Bauermann , Giacomo Bartolucci , Christoph A. Weber , Frank Jülicher

Diffusional interactions within the Ostwald Ripening process are analyzed in the present paper. An {\it off-centre diffusion approach \/} is performed to point out the direct correlation between the size of clusters. Herein the diffusion…

Condensed Matter · Physics 2009-10-28 F. Despa , V. Topa

Underground gas storage is central to both climate mitigation and energy transition strategies, supporting both long-term carbon sequestration and seasonal hydrogen storage. A key mechanism governing the fate of injected gases is Ostwald…

Soft Condensed Matter · Physics 2025-09-03 Mohammad Salehpour , Tian Lan , Nicolas Bueno , Md Zahidul Islam Laku , Yashar Mehmani , Benzhong Zhao

We investigate the role of discrete-particle noise in interface-controlled Ostwald ripening. We introduce the noise within the framework of the Becker-Doering equations, and employ both Monte Carlo simulations and direct numerical solution…

Statistical Mechanics · Physics 2009-11-11 Baruch Meerson , Leonard M. Sander , Peter Smereka

In this chapter, the theory of Lifshitz, Slesov and Wagner and the technique of Emulsion Stability Simulations (ESS) are reviewed. Complementary algorithms required to incorporate the phenomenon of Ostwald ripening in ESS are presented. The…

Soft Condensed Matter · Physics 2014-10-13 German Urbina-Villalba

We explore the evolution of the aggregate size distribution in systems where aggregates grow by diffusive accretion of mass. Supersaturation is controlled in such a way that the overall aggregate volume grows linearly in time. Classical…

Statistical Mechanics · Physics 2014-03-12 J. Vollmer , A. Papke , M. Rohloff

The ripening kinetics of bubbles is studied by performing molecular dynamics simulations. From the time evolution of a system, the growth rates of individual bubbles are determined. At low temperatures, the system exhibits a $t^{1/2}$ law…

Statistical Mechanics · Physics 2016-10-12 Hiroshi Watanabe , Hajime Inaoka , Nobuyasu Ito
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