Melting and solid–solid transitions of two-dimensional crystals composed of Janus spheres

Huang, Tao; Han, Yilong; Chen, Yong

doi:10.1039/d0sm00023j

Cited by 19 publications

(12 citation statements)

References 30 publications

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“…It will be interesting to investigate the interplay of percolation and different thermodynamic phases for patchy particles at finite temperatures on lattices in 2D [8][9][10], where the universality class might be different. Percolation and phase transitions of patchy particles in continuum space in 2D also demand more investigations [39,40].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Percolation thresholds of randomly rotating patchy particles on Archimedean lattices

Wang,

He,

Wang

et al. 2021

Preprint

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We study the percolation of randomly rotating patchy particles on 11 Archimedean lattices in two dimensions. Each vertex of the lattice is occupied by a particle, and in each model the patch size and number are monodisperse. When there are more than one patches on the surface of a particle, they are symmetrically decorated. As the proportion χ of the particle surface covered by the patches increases, the clusters connected by the patches grow and the system percolates at the threshold χc. We combine Monte Carlo simulations and the critical polynomial method to give precise estimates of χc for disks with one to six patches and spheres with one to two patches on the 11 lattices. For one-patch particles, we find that the order of χc values for particles on different lattices is the same as that of threshold values pc for site percolation on same lattices, which implies that χc for one-patch particles mainly depends on the geometry of lattices. For particles with more patches, symmetry and shapes of particles also become important in determining χc. We observe that χc values on different lattices do not follow the same order as those for one-patch particles, and get some rules, e.g., some patchy particle models are equivalent with site percolation on same lattices, and different patchy particles can share the same χc value on a given lattice. By analytically calculating probabilities of different patch-covering structures of a single particle as a function of χ near χc, we provide some understanding of these results, and furthermore, we obtain χc for disks with an arbitrary number of patches on five lattices. For these lattices, when the number of patches increases, χc values for patchy disks repeat in periodic ways.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Percolation thresholds of randomly rotating patchy particles on Archimedean lattices

Wang,

He,

Wang

et al. 2021

Preprint

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“…(e) The melting and solid–solid transition process of two-dimensional crystals studied via Langevin dynamics simulation. Reproduced with permission from ref . Copyright 2020 Royal Society of Chemistry.…”

Section: Application Of Computational Simulation In Janus Particles R...mentioning

confidence: 90%

“…It was found that Janus particles have a first-order solid−solid transition of a new crystal, from a uniformly striped single crystal to a striped polycrystalline domain, while the melting transitions at higher temperatures are still similar to that of most isotropic particle systems, also following a two-step Kosterlitz-Thouless-Halperin-Nelson-Young scenario. 233 In other applications, Mueller et al proposed a method using thermodynamic calculations to predict the minimized geometry of bimetallic nanoparticles with poor mutual solubility. They discovered the geometry of the particles as a function of metal content, from core−shell Janus to phase separation.…”

Section: Application Of Computational Simulationmentioning

confidence: 99%

“…Huang et al used Langevin dynamics simulation to study the melting and solid–solid transition process of two-dimensional crystals (Figure e). It was found that Janus particles have a first-order solid–solid transition of a new crystal, from a uniformly striped single crystal to a striped polycrystalline domain, while the melting transitions at higher temperatures are still similar to that of most isotropic particle systems, also following a two-step Kosterlitz-Thouless-Halperin-Nelson-Young scenario . In other applications, Mueller et al proposed a method using thermodynamic calculations to predict the minimized geometry of bimetallic nanoparticles with poor mutual solubility.…”

Section: Application Of Computational Simulation In Janus Particles R...mentioning

confidence: 99%

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Research Advances in the Synthesis, Application, Assembly, and Calculation of Janus Materials

Duan

Zhao

Sun

et al. 2021

Ind. Eng. Chem. Res.

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Janus materials with anisotropy shapes and chemical compositions, including Janus particles, Janus nanosheets, and Janus membranes, have a great significance in the development of new functional materials and expansion of the properties and applications of materials. This review summarizes recent works on Janus materials of preparation, application, assembly, and calculation. First, we briefly sort out the methods of preparing Janus particles and discuss the factors influencing the structure, shape, and size of Janus particles, pointing out their advantages and the direction of improvement. Then, we introduce in detail the applications field from a single Janus particle, assembly of Janus particles, 2D Janus nanosheet, and Janus membrane. We summarize the recent research on the self-assembly of Janus particles and point out the role of the combination of computational simulation and experiment in the research of Janus material. Finally, the research process of Janus materials is reviewed, and the development tendencies of Janus materials and the problems to be solved are summarized.

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“…r j is the inverse area of the Voronoi cell of the jth particle. c 6j ¼ n j À1 P n j k¼1 e 6iy jk , where n j is the number of the nearest neighbours of the jth particle, and y jk denotes the bond angle between the jth particle and its neighbour k. 61,62 |c 6j | ranges from 0 for disordered local structures to 1 for six neighbours with perfect hexagonal bonds. |c 6 (y)| (or r(y)) is calculated by averaging c 6j (or r j ) over all particles within y À 3 o y o y + 3.…”

Section: The Phase Separation Processmentioning

confidence: 99%

Morphologies and dynamics of free surfaces of crystals composed of active particles

Huang

Han

et al. 2022

Soft Matter

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Melting and solid–solid transitions of two-dimensional crystals composed of Janus spheres

Abstract: A solid–solid transition is found in 2D Janus colloidal crystal in which particles rotate collectively but keep the lattice structure.

Cited by 19 publications

References 30 publications

Percolation thresholds of randomly rotating patchy particles on Archimedean lattices

Percolation thresholds of randomly rotating patchy particles on Archimedean lattices

Research Advances in the Synthesis, Application, Assembly, and Calculation of Janus Materials

Morphologies and dynamics of free surfaces of crystals composed of active particles

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