利用极坐标网格系统上的 CDS 模型中涉及的 PDE 近似值,在约束和曲率效应下对二嵌段共聚物的圆柱堆积进行再图案化

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY
Muhammad Javed Iqbal, Inayatullah Soomro, Mumtaz Hussain Mahar
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引用次数: 0

摘要

包括二嵌共聚物在内的软材料因其独特的性能正在推动纳米技术的发展,其应用材料包括能量收集、水卫生、环境处理、纳米传感器、药物输送和纳米光刻。这些材料轻便、廉价、高效、灵敏、耐用且功能更强,数学家通过模拟预测了其新的形态。这项工作通过使用约束来产生和预测纳米圆柱体的堆积模式,以了解纳米圆柱体在曲率影响下的堆积挫折。在这篇论文中,细胞动态模拟模型被用来研究圆形环孔约束对系统朝向圆柱形形态的影响。为满足细胞动态模拟模型的要求,在极坐标网格上采用有限差分离散法对各向同性拉普拉斯进行了 9 点模版近似。为 CDS 模型中的 PDE 生成 FORTRAN 代码。OPEN DX 用于可视化预测的圆柱形图案。我们的结果与实验观测结果一致,这使我们的研究具有有效性和意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Re-patterning of cylindrical packing of diblock copolymers under confinement and curvature effects by using approximations of PDE’s involved in the CDS model on polar mesh system
Soft materials, including diblock copolymers, are advancing nanotechnology due to their unique properties, applications materials include energy harvesting, water sanitation, environmental treatment, nanosensors, drug delivery and nanolithography. These materials are light, cheap, efficient, sensitive, durable and more functional, whose new morphologies have been predicted by mathematicians through simulation. This work produces and predicts the pattern of packing of nano-cylinders by using confinement to appreciate the frustration in the packing of nano-cylinders under the influence of curvature. In this contribution, the cell dynamic simulations model is used to examine the impact of circular annular pore confinement on system orientation toward cylindrical morphologies. A 9-point stencil approximates the isotropic Laplacian by finite-difference discretization on a polar grid to meet the requirement of a cell dynamic simulation model. FORTRAN codes are generated for the set of PDEs included in the CDS model. OPEN DX is used to visualise the predicted cylindrical patterns. The consistency of our results with experimental observations makes our research valid and significant.
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来源期刊
Journal of Physics Communications
Journal of Physics Communications PHYSICS, MULTIDISCIPLINARY-
CiteScore
2.60
自引率
0.00%
发文量
114
审稿时长
10 weeks
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