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Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories…

High Energy Physics - Theory · Physics 2010-11-01 A. J. Gill , R. J. Rivers

Anisotropic rod-like particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and…

Soft Condensed Matter · Physics 2026-05-29 Gerardo Campos-Villalobos , André F. V. Matias , Ethan I. L. Jull , Lisa Tran , Marjolein Dijkstra

Two nematic shells brought in contact coalesce in order to reduce their interfacial tension. This process proceeds through the creation of a liquid neck-like bridge through which the encapsulated fluid flows. Following this topological…

Soft Condensed Matter · Physics 2015-06-17 Badel L. Mbanga , Kate K. Voorhes , Timothy J. Atherton

Topological effects typically discussed in the context of quantum physics are emerging as one of the central paradigms of physics. Here, we demonstrate the role of topology in energy transport through dimerized micro- and nano-mechanical…

Mesoscale and Nanoscale Physics · Physics 2018-03-23 Chih-Chun Chien , Kirill A. Velizhanin , Yonatan Dubi , B. Robert Ilic , Michael Zwolak

We study how confinement transforms the chaotic dynamics of bulk microtubule-based active nematics into regular spatiotemporal patterns. For weak confinements, multiple continuously nucleating and annihilating topological defects…

When a second-order phase transition is crossed at fine rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of the critical point. In systems with a topologically nontrivial…

Statistical Mechanics · Physics 2013-09-13 A. del Campo , T. W. B. Kibble , W. H. Zurek

We investigate the formation of topological defects in the course of a dynamical phase transition with different boundary conditions in a ring from AdS/CFT correspondence. According to the Kibble-Zurek mechanism, quenching the system across…

High Energy Physics - Theory · Physics 2022-05-25 Zhi-Hong Li , Han-Qing Shi , Hai-Qing Zhang

We present a hydrodynamic model for a thin spherical shell of active nematic liquid crystal with an arbitrary configuration of defects. The active flows generated by defects in the director lead to the formation of stable vortices,…

Soft Condensed Matter · Physics 2017-11-13 Diana Khoromskaia , Gareth P. Alexander

Regulation of topological structures and pattern formation is attracting wide interest in the field of condensed matter. Liquid crystals (LCs) represent soft matter with a remarkable combination of fluidity and anisotropic properties.…

Soft Condensed Matter · Physics 2025-12-09 Natalia Podoliak , Lubor Lejcek , Martin Cigl , Vladimira Novotna

Active materials are those in which individual, uncoordinated local stresses drive the material out of equilibrium on a global scale. Examples of such assemblies can be seen across scales from schools of fish to the cellular cytoskeleton…

Soft Condensed Matter · Physics 2022-09-30 Nitin Kumar , Rui Zhang , Steven A. Redford , Juan J. de Pablo , Margaret L. Gardel

The influence of controlable parameters like temperature and wavelength on the trajectories of light in a nematic liquid crystal with topological defects is studied through a geometric model. The model incorporates phenomenological details…

Soft Condensed Matter · Physics 2009-11-13 Caio satiro , Fernando Moraes

Conformational transitions are ubiquitous in biomolecular systems, have significant functional roles and are subject to evolutionary pressures. Here we provide a first theoretical framework for topological transition, i.e. conformational…

Disordered Systems and Neural Networks · Physics 2015-09-02 Alireza Mashaghi , Abolfazl Ramezanpour

Stable array of point defects was generated in nematic liquid crystal. Point defects with topological charge of +1 and -1 (hedgehogs) were generated in vertically aligned liquid crystal cell. The hedgehogs were arranged in square or…

Soft Condensed Matter · Physics 2019-06-18 Jieh-Wen Tsung

We describe a novel phenomenon in which vortices are produced due to resonant oscillations of a scalar field which is driven by a periodically varying temperature T, with T remaining much below the critical temperature $T_c$. Also, in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sanatan Digal , Rajarshi Ray , Supratim Sengupta , Ajit M. Srivastava

Collective cell migration governs a range of physiological and pathological processes, from tissue morphogenesis to cancer invasion, in which topological defects arise as an inevitable consequence of frequent cellular rearrangement and…

Soft Condensed Matter · Physics 2026-04-01 Jiusi Zhang , Chung Wing Chan , Bo Li , Rui Zhang

We propose a generic uncertainty relationship for cross-diffusion (quasi-soliton) waves triggered by local instabilities through Thermo-Hydro-Mechano-Chemical (THMC) coupling and cross-scale feedbacks. Cross-diffusion waves nucleate when…

Pattern Formation and Solitons · Physics 2019-07-26 Klaus Regenauer-Lieb , Manman Hu , Christoph Schrank

We show how non-reciprocal ferromagnetic interactions between neighbouring planar spins in two dimensions, affect the behaviour of topological defects. Non-reciprocity is introduced by weighting the coupling strength of the two-dimensional…

Statistical Mechanics · Physics 2025-03-19 Ylann Rouzaire , Daniel JG Pearce , Ignacio Pagonabarraga , Demian Levis

Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an…

Soft Condensed Matter · Physics 2021-06-16 Ben Pisanty , Erdal C. Oguz , Cristiano Nisoli , Yair Shokef

Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms remain however to be unravelled. Crystal nucleation, the early…

Disordered Systems and Neural Networks · Physics 2021-09-17 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

Coherent flows of self-propelled particles are characterized by vortices and jets that sustain chaotic flows, referred to as active turbulence. Here, we reveal a crossover between defect-free active turbulence and active turbulence laden…

Soft Condensed Matter · Physics 2023-05-26 Benjamin H. Andersen , Julian Renaud , Jonas Rønning , Luiza Angheluta , Amin Doostmohammadi
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