Phase field crystal simulations of the kinetics of Ostwald ripening in two dimensions

Moats, Kyle A.; Asadi, Ebrahim; Laradji, Mohamed

doi:10.1103/physreve.99.012803

Cited by 12 publications

(12 citation statements)

References 64 publications

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“…We will here test if topological and geometric quantities, which are well studied for polydisperse assemblies in passive systems, as e.g. foams and froths 5,6 or Ostwald ripening of minority phase domains after a rapid temperature quench 7,8 , are also valid for monolayers of cells. We will consider two empirical laws, the Lewis' law, originally proposed in studies of the epidermis of Cucumis 9 , it expresses the existence of correlation between area and number of neighbors (coordination number q) of a cell, and the Aboav-Weaire's law, with the original aim to understand the mechanism of growth of polycrystals 10 , which states that cells with high (low) coordination number are surrounded by small (large) cells.…”

Section: Introductionmentioning

confidence: 99%

Topological and geometrical quantities in active cellular structures

Wenzel

Praetorius

Voigt

2019

The Journal of Chemical Physics

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Topological and geometrical properties and the associated topological defects find a rapidly growing interest in studying the interplay between mechanics and the collective behavior of cells on the tissue level. We here test if well studied equilibrium laws for polydisperse passive systems such as the Lewis's and the Aboav-Weaire's law are applicable also for active cellular structures. Large scale simulations, which are based on a multi phase field active polar gel model, indicate that these active cellular structures follow these laws. If the system is in a state of collective motion also quantitative agreement with typical values for passive systems is observed. If this state has not developed quantitative differences can be found. We further compare the model with discrete modeling approaches for cellular structures and show that essential properties, such as T1 transitions and rosettes are naturally fulfilled.

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Section: Introductionmentioning

confidence: 99%

Topological and geometrical quantities in active cellular structures

Wenzel

Praetorius

Voigt

2019

The Journal of Chemical Physics

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“…Cholesterol crystallization under biologically relevant conditions has long attracted attention (see, e.g., refs , − ). Also, many experimental and theoretical studies have been focused on the formation and Ostwald ripening of cholesterol rafts in lipid bilayers in the past decade (see, e.g., refs , ). The kinetic models used in the former studies are, however, not well developed, whereas the kinetic models employed in the latter studies are not directly applicable to our case.…”

Section: Resultsmentioning

confidence: 99%

Mechanistic Aspects of the Evolution of 3D Cholesterol Crystallites in a Supported Lipid Membrane via a Quartz Crystal Microbalance with Dissipation Monitoring

et al. 2021

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The irreversible formation of cholesterol monohydrate crystals within biological membranes is the leading cause of various diseases, including atherosclerosis. Understanding the process of cholesterol crystallization is fundamentally important and could also lead to the development of improved therapeutic strategies. This has driven several studies investigating the effect of the environmental parameters on the induction of cholesterol crystallite growth and the structure of the cholesterol crystallites, while the kinetics and mechanistic aspects of the crystallite formation process within lipid membranes remain poorly understood. Herein, we fabricated cholesterol crystallites within a supported lipid bilayer (SLB) by adsorbing a cholesterol-rich bicellar mixture onto a glass and silica surface and investigated the realtime kinetics of cholesterol crystallite nucleation and growth using epifluorescence microscopy and quartz crystal microbalance with dissipation (QCM-D) monitoring. Microscopic imaging showed the evolution of the morphology of cholesterol crystallites from nanorod-and plate-shaped habits during the initial stage to mostly large, micron-sized three-dimensional (3D) plate-shaped crystallites in the end, which was likened to Ostwald ripening. QCM-D kinetics revealed unique signal responses during the later stage of the growth process, characterized by simultaneous positive frequency shifts, nonmonotonous energy dissipation shifts, and significant overtone dependence. Based on the optically observed changes in crystallite morphology, we discussed the physical background of these unique QCM-D signal responses and the mechanistic aspects of Ostwald ripening in this system. Together, our findings revealed mechanistic details of the cholesterol crystallite growth kinetics, which may be useful in biointerfacial sensing and bioanalytical applications.

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“…The phase-field crystal approach has been successfully utilized in simulating different processes and phenomena, such as grain-boundary premelting, [147][148][149][150] eutectic solidification, 151 epitaxial growth, 152,153 and phase separation. 154,155…”

Section: Phase-field Simulationsmentioning

confidence: 99%

Defect-characterized phase transition kinetics

Zhang

Wang

et al. 2022

Applied Physics Reviews

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Phase transitions are a common phenomenon in condensed matter and act as a critical degree of freedom that can be employed to tailor the mechanical or electronic properties of materials. Understanding the fundamental mechanisms of the thermodynamics and kinetics of phase transitions is, thus, at the core of modern materials design. Conventionally, studies of phase transitions have, to a large extent, focused on pristine bulk phases. However, realistic materials exist in a complex form; their microstructures consist of different point and extended defects. The presence of defects impacts the thermodynamics and kinetics of phase transitions, but has been commonly ignored or treated separately. In recent years, with the significant advances in theoretical and experimental techniques, there has been an increasing research interest in modeling and characterizing how defects impact or even dictate phase transitions. The present review systematically discusses the recent progress in understanding the kinetics of defect-characterized phase transitions, derives the key mechanisms underlying these phase transitions, and envisions the remaining challenges and fruitful research directions. We hope that these discussions and insights will help to inspire future research and development in the field.

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Phase field crystal simulations of the kinetics of Ostwald ripening in two dimensions

Cited by 12 publications

References 64 publications

Topological and geometrical quantities in active cellular structures

Topological and geometrical quantities in active cellular structures

Mechanistic Aspects of the Evolution of 3D Cholesterol Crystallites in a Supported Lipid Membrane via a Quartz Crystal Microbalance with Dissipation Monitoring

Defect-characterized phase transition kinetics

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