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Gareth P. Alexander

Bio: Gareth P. Alexander is an academic researcher from University of Warwick. The author has contributed to research in topics: Liquid crystal & Disclination. The author has an hindex of 15, co-authored 47 publications receiving 722 citations.

Papers
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Journal ArticleDOI
TL;DR: The controlled sculpting of the Hopf fibration in nematic liquid crystals through the control of point defects is demonstrated by use of a topological visualization technique derived from the Pontryagin-Thom construction.
Abstract: The Hopf fibration is an example of a texture: a topologically stable, smooth, global configuration of a field Here we demonstrate the controlled sculpting of the Hopf fibration in nematic liquid crystals through the control of point defects We demonstrate how these are related to torons by use of a topological visualization technique derived from the Pontryagin-Thom construction

103 citations

Journal ArticleDOI
TL;DR: In this paper, the authors perform large scale 3D molecular dynamics simulations of unlinked and unknotted ring polymers diffusing through a background gel, here a three-dimensional cubic lattice.
Abstract: We perform large scale three-dimensional molecular dynamics simulations of unlinked and unknotted ring polymers diffusing through a background gel, here a three-dimensional cubic lattice. Taking advantage of this architecture, we propose a new method to unambiguously identify and quantify inter-ring threadings (penetrations) and to relate these to the dynamics of the ring polymers. We find that both the number and the persistence time of the threadings increase with the length of the chains, ultimately leading to a percolating network of inter-ring penetrations. We discuss the implications of these findings for the possible emergence of a topological jammed state of very long rings.

84 citations

Journal ArticleDOI
TL;DR: The full topological implications of colloids representing nonorientable surfaces are described and they are used to construct torus knots and links of type (p,2) around multiply twisted Möbius strips.
Abstract: Knots and knotted fields enrich physical phenomena ranging from DNA and molecular chemistry to the vortices of fluid flows and textures of ordered media Liquid crystals provide an ideal setting for exploring such topological phenomena through control of their characteristic defects The use of colloids in generating defects and knotted configurations in liquid crystals has been demonstrated for spherical and toroidal particles and shows promise for the development of novel photonic devices Extending this existing work, we describe the full topological implications of colloids representing nonorientable surfaces and use it to construct torus knots and links of type (p,2) around multiply twisted Mobius strips

75 citations

Journal ArticleDOI
TL;DR: In this paper, exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions were provided.
Abstract: We provide exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions. These allow the hydrodynamic interactions of swimming microscopic organisms with confining boundaries, or with each other, to be determined for arbitrary separation and, in particular, in the close proximity regime where approximate methods based on point-singularity descriptions cease to be valid. We give a detailed description of the circular motion of an arbitrary squirmer moving parallel to a no-slip spherical boundary or flat free surface at close separation, finding that the circling generically has opposite sense at free surfaces and at solid boundaries. While the asymptotic interaction is symmetric under head–tail reversal of the swimmer, in the near field, microscopic structure can result in significant asymmetry. We also find the translational velocity towards the surface for a simple model with only the lowest two squirming modes. By comparing these to asymptotic approximations of the interaction we find that the transition from near- to far-field behaviour occurs at a separation of approximately two swimmer diameters. These solutions are for the rotational velocity about the wall normal, or common diameter of two spheres, and the translational speed along that same direction, and are obtained using the Lorentz reciprocal theorem for Stokes flows in conjunction with known solutions for the conjugate Stokes drag problems, the derivations of which are demonstrated here for completeness. The analogous motions in the perpendicular directions, i.e. parallel to the wall, currently cannot be calculated exactly since the relevant Stokes drag solutions needed for the reciprocal theorem are not available.

62 citations

Journal ArticleDOI
TL;DR: A topological heuristic for the resolution of strand crossings in defect coarsening processes is given which allows us to distinguish topological classes of a given link and to make predictions about defect crossings in nematic liquid crystals.
Abstract: We show that the number of distinct topological states associated with a given knotted defect, L, in a nematic liquid crystal is equal to the determinant of the link L. We give an interpretation of these states, demonstrate how they may be identified in experiments, and describe the consequences for material behavior and interactions between multiple knots. We show that stable knots can be created in a bulk cholesteric and illustrate the topology by classifying a simulated Hopf link. In addition, we give a topological heuristic for the resolution of strand crossings in defect coarsening processes which allows us to distinguish topological classes of a given link and to make predictions about defect crossings in nematic liquid crystals.

53 citations


Cited by
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28 Jul 2005
TL;DR: PfPMP1)与感染红细胞、树突状组胞以及胎盘的单个或多个受体作用,在黏附及免疫逃避中起关键的作�ly.
Abstract: 抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1(PfPMP1)与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用,在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员,通过启动转录不同的var基因变异体为抗原变异提供了分子基础。

18,940 citations

01 Aug 2013
TL;DR: “내펴보았다” 현존하는 여덟 개의 〈뿔피리를 그림에 대한 한다 해석하고 있다.
Abstract: 본 연구는 현존하는 여덟 개의 〈뿔피리를 부는 제빵사〉 작품이 산발적으로 우연히 등장한 것이 아닌 서로 유기적인 영향관계를 주고 받으며 생산된 하나의 도상으로 살펴보았다. “뿔피리를 부는 제빵사” 그림에 대한 현재까지의 연구는 대부분 그림에 나타나 있는 다양한 빵들을 성만찬을 의미하는 종교적 상징으로 해석하고 있다. 이에 반해 본 연구는 “뿔피리를 부는 제빵사” 도상이 유독 17세기 중후반 네덜란드에서 생산된 사실에 주목하고, 그 이유를 동시대 네덜란드인들의 일상에 직접적인 영향을 주었던 빵의 생산 및 공급 그리고 유통과정에서 찾고자 한다. 여기에는 빵이 당대 네덜란드인들의 식생활 뿐 아니라 그들의 경제생활 더나아가 국가경제 전체에 어떤 중요한 역할을 했는지에 대한 연구가 선행되어야 한다. 주로 풍속화의 전통으로 해석되었던 “뿔피리를 부는 제빵사” 그림은 본 연구에서 풍속화와 초상화 두 장르가 혼합한 도상으로 다루어졌으며, 이제까지의 연구에서 미흡했던 초상화로서의 가능성이 적극적으로 제기되었다. 제빵사의 초상화 또는 화가의 자화상으로 생산된 〈뿔피리를 부는 제빵사〉의 시대적 배경에는 제빵사의 경제적 여유와 사회적 지위상승 그리고 제빵사를 영혼의 양식을 공급하는 고귀한 직업으로 승화시킨 칼비니즘의 영향이 있다. 제빵사들이 부를 축적할 수 있었던 배경에는 국가가 나서서 빵의 생산과 공급을 철저하게 관리해준 덕분이었다. 17세기 네덜란드의 제빵사들은 길드에 속해야만 빵을 팔 수 있었고 각 제빵사들의 빵 만드는 법은 외부인들에게 절대로 공개되지 않았다. 동시에 당시 네덜란드인들은 세금을 내지 않고는 빵을 먹기가 힘들었다. 이런 이유로 개인의 집에 오븐을 설치하는 것은 금지되었고, 빵은 꼭 관헌들에게 세금을 내는 합법적인 제빵사에게서만 살 수 있었다. 이렇게 17세기 네덜란드는 직업으로서 빵 굽는 사람을 보호하는 동시에 단속하기 위해 매우 엄격한 규정을 제정하였다. 17세기 네덜란드인들에게 빵은 그들의 식생활 뿐 아니라 그들의 다양한 직업과도 관련이 있었으며 빵의 생산과 유통과정에 개입한 국가의 권위와 통제를 상징하기도 한다. 빵의 생산과 유통에 붙는 세금은 국가의 경제를 지탱하고 발전시키는데 중요한 재원이었으며, 동시에 국민들을 엄격하게 관리함으로써 국가의 질서를 세우기 위한 효과적인 방편이었다. 빵가격은 변동이 심한 곡물가격과 빵의 크기에 따라서 엄격하게 결정되었다. 네덜란드정부는 평상시에 빵의 공식적인 무게와 가격을 고정시켰는데, 이는 다른 음식에서는 찾아볼 수 없는 유일한 관리방식이었다. 따라서 동시대 네덜란드인들에게 빵은 국가의 적극적인 개입과 관리체계를 통해서만 그들의 입에 넣을 수 있는 음식이었다. 이러한 맥락에서 볼 때, 본 연구에서 다룬 〈뿔피리를 부는 제빵사〉 그림에서 풍성하게 차려진 다양한 빵은 경제적인 풍요와 정치적인 안정을 의미한다. 여러 가지 다양한 음식 중에서도 빵이 이러한 의미를 가장 효과적으로 전달한다는 점에서 〈뿔피리를 부는 제빵사〉 그림에서 빵은 당시 네덜란드의 물질적 풍요뿐만 아니라 국가의 번영과 안녕을 의미한다고 볼 수 있다.

521 citations

Journal ArticleDOI
TL;DR: Active colloids are microscopic particles which self-propel through viscous fluids by converting energy extracted from their environment into directed motion as discussed by the authors, where artificial microswimmers move forward by generating near-surface flow fields via self-phoresis or the self-induced Marangoni effect.
Abstract: Active colloids are microscopic particles, which self-propel through viscous fluids by converting energy extracted from their environment into directed motion. We first explain how artificial microswimmers move forward by generating near-surface flow fields via self-phoresis or the self-induced Marangoni effect. We then discuss generic features of the dynamics of single active colloids in bulk and in confinement, as well as in the presence of gravity, field gradients, and fluid flow. In the third section, we review the emergent collective behavior of active colloidal suspensions, focusing on their structural and dynamic properties. After summarizing experimental observations, we give an overview of the progress in modeling collectively moving active colloids. While active Brownian particles are heavily used to study collective dynamics on large scales, more advanced methods are necessary to explore the importance of hydrodynamic and phoretic particle interactions. Finally, the relevant physical approaches to quantify the emergent collective behavior are presented.

484 citations

Journal ArticleDOI
27 Feb 2015-Science
TL;DR: Using a recently developed method for the three-dimensional nanotomography of optical vector fields, this work fully reconstructs the light polarization structure in the focal region, confirming the appearance of Möbius polarization structures.
Abstract: Mobius strips are three-dimensional geometrical structures, fascinating for their peculiar property of being surfaces with only one “side” - or, more technically, being “non-orientable” surfaces. Despite being easily realized artificially, the spontaneous emergence of these structures in nature is exceedingly rare. Here, we generate Mobius strips of optical polarization by tightly focusing the light beam emerging from a q -plate, a liquid crystal device that modifies the polarization of light in a space-variant manner. Using a recently developed method for the three-dimensional nano-tomography of optical vector fields, we fully reconstruct the light polarization structure in the focal region, confirming the appearance of Mobius polarization structures. The preparation of such structured light modes may be important for complex light beam engineering and optical micro- and nano-fabrication.

321 citations

Journal ArticleDOI
TL;DR: Active colloids are microscopic particles which self-propel through viscous fluids by converting energy extracted from their environment into directed motion as mentioned in this paper, and they generate near-surface flow fields via self-phoresis or the self-induced Marangoni effect.
Abstract: Active colloids are microscopic particles, which self-propel through viscous fluids by converting energy extracted from their environment into directed motion. We first explain how articial microswimmers move forward by generating near-surface flow fields via self-phoresis or the self-induced Marangoni effect. We then discuss generic features of the dynamics of single active colloids in bulk and in confinement, as well as in the presence of gravity, field gradients, and fluid flow. In the third part, we review the emergent collective behavior of active colloidal suspensions focussing on their structural and dynamic properties. After summarizing experimental observations, we give an overview on the progress in modeling collectively moving active colloids. While active Brownian particles are heavily used to study collective dynamics on large scales, more advanced methods are necessary to explore the importance of hydrodynamic and phoretic particle interactions. Finally, the relevant physical approaches to quantify the emergent collective behavior are presented.

305 citations