Effects of confinement on pattern formation in two dimensional systems with competing interactions

Almarza, N. G.; Pȩkalski, J.; Ciach, A.

doi:10.1039/c6sm01400c

Cited by 25 publications

(31 citation statements)

References 45 publications

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“…Simulations of microstructural evolution have been conducted utilizing many different methods, [131][132][133][134][135][136][137][138][139][140][141][142][143][144][145][146][147][148][149] spanning a wide range of time and length scales. With the growth of computational resources and improvements in computational capabilities, numerical simulation has become a practical approach for solving complex problems such as this.…”

Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

“…With the growth of computational resources and improvements in computational capabilities, numerical simulation has become a practical approach for solving complex problems such as this. Simulations of microstructural evolution have been conducted utilizing many different methods, [131][132][133][134][135][136][137][138][139][140][141][142][143][144][145][146][147][148][149] spanning a wide range of time and length scales.…”

Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

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Template‐Directed Solidification of Eutectic Optical Materials

Kulkarni

Kohanek

Tyler

et al. 2018

Advanced Optical Materials

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polarizers, some waveguides, and many lasers. [1][2][3] Materials with powerful optical functionalities, including negative-index of refraction and optical chirality, can be realized by appropriate placement of materials with suitable properties in 2D or 3D space. [4][5][6] Light in the visible spectrum can be manipulated, although the tolerance for defects is exceedingly low at visible frequencies, and the number of materials with the appropriate properties is limited. [7,8] Most photonic crystals are fabricated by high-resolution top-down 2D patterning methods such as electron-beam lithography, interference lithography, and focused ion beam milling. [9] However, it is challenging to fabricate large-area bulk materials with these techniques, especially with intricate internal structures. [8] Additionally, many materials with promising optical properties are not compatible with these top-down patterning methods. [4,10] As work on colloidal crystals has shown, controlled self-assembly is an effective route to organizing materials into 3D architectures, which interact strongly with light. [9][10][11][12][13] Colloidal self-assembly, however, only offers a limited set of symmetries (generally those of close packed arrangements), and a spherical basis. [12] For many applications, considerably more complex structures are of interest. Particularly promising approaches for forming materials with complex internal microstructures include eutectic solidification and block copolymer self-assembly, [14][15][16][17] and materials with interesting optical properties have been reported using both approaches. These methods are advantageous due to the wide range of microstructures they form. Here, we focus on the structures formed by eutectic solidification since materials with a broader range of optical properties are available compared to that provided by block copolymers, and because the characteristic lengths of structures accessible through eutectic solidification better match the wavelengths of visible and IR light. Further, forming materials with sufficiently large characteristic dimensions for interaction with visible light by block copolymer assembly is synthetically challenging as it requires high molecular weight polymers. [18] Similarly, self-assembly of other building blocks, e.g., nanoparticles, [19,20] molecules, [21,22] and DNA, [23,24] tend to produce structures with characteristic dimensions too small to provide strong light-matter interactions (via diffractive phenomena), [2,3,25] and are thus not the emphasis of this review.Mesostructured materials can exhibit enhanced light-matter interactions, which can become particularly strong when the characteristic dimensions of the structure are similar to or smaller than the wavelength of light. For controlling visible to near-infrared wavelengths, the small characteristic dimensions of the required structures usually demand fabrication by sophisticated lithographic techniques. However, these fabrication methods are restricted to producing 2D and a limited range of 3D...

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Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

Section: Phase-field Modeling Of Eutectic Microstructure Evolutionmentioning

confidence: 99%

Template‐Directed Solidification of Eutectic Optical Materials

Kulkarni

Kohanek

Tyler

et al. 2018

Advanced Optical Materials

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“…where βµ id = ln c 1 − c , (6.10) 12) and z k is the number of neighbors in the k-th coordination sphere.…”

Section: -9mentioning

confidence: 99%

“…The variation of the host crystal field in the vicinity of the electrode that is analogous to its ionophobicity or ionophilicity can lead to an anomalous behavior of the electric double layer capacitance [28]. In fact, attractive short-range van der Waals interactions being opposite to electrostatic repulsive ones make ionic systems similar to systems with competing interactions [6][7][8][9][10][11][12] that have been widely studied in recent years.…”

Section: Introductionmentioning

confidence: 99%

“…This approach makes it possible to take into account the contributions from short-range as well as from long-range interactions, both of which are important in the study of condensed states of matter. Among other things, this allows one to describe the emergence of competing interactions, which have been widely employed in the study of inhomogeneous systems [6][7][8][9][10][11][12]26].…”

Section: Introductionmentioning

confidence: 99%

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Short- and long-range contributions to equilibrium and transport properties of solid electrolytes

Bokun¹,

Kravtsiv²,

Holovko³

et al. 2019

Condens. Matter Phys.

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Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction is considered in terms of screening potentials. A system of integral equations for these potentials is constructed based on the condition of the best agreement of the system of study with the reference system. In contrast to the description of media with short-range interactions, in this text the reference distribution includes not only the field of mean potentials but also Coulomb interaction between particles. A one-component system made of ions in a neutralizing background of fixed counterions is considered. The model can be used to describe solid ionic conductors. In order to study the movement of cations on the sites of their sub-lattice, the lattice approximation of the theory is employed based on the calculation of the pair distribution function. Using the collective variables approach, a technique improving the starting expression for this function is proposed. Notably, the neglected terms in the expansion of this function are approximated by single-particle terms ensuring that the normalization condition is satisfied. As a result, the applicability of the theory is extended to a wide region of thermodynamic parameters. The chemical potential and the diffusion coefficient are calculated showing the possibility of phase transitions characteristic of the system.

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Distinct self-assembly aggregation patters of nanorods with decorated ends: A simple model study

Bordin

2019

Fluid Phase Equilibria

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Effects of confinement on pattern formation in two dimensional systems with competing interactions

Cited by 25 publications

References 45 publications

Template‐Directed Solidification of Eutectic Optical Materials

Template‐Directed Solidification of Eutectic Optical Materials

Short- and long-range contributions to equilibrium and transport properties of solid electrolytes

Distinct self-assembly aggregation patters of nanorods with decorated ends: A simple model study

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