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We present a systematic methodology for the accurate calculation of defect structures in supercells which we illustrate with a study of the neutral vacancy in silicon. This is a prototypical defect which has been studied extensively using…

Materials Science · Physics 2009-11-10 M. I. J. Probert , M. C. Payne

This paper presents the results of a rheological study of thermotropic nematic colloids aggregated into cellular structures. Small sterically stabilised PMMA particles dispersed in a liquid crystal matrix densely pack on cell interfaces,…

Soft Condensed Matter · Physics 2009-10-31 V. J. Anderson , E. M. Terentjev

The role of boundary layers in conventional liquid crystals is commonly subsumed in their anchoring on confining walls. In the classical view, anchoring enslaves the orientational field of the passive material under equilibrium conditions.…

We develop a continuum theory to describe the collective dynamics of deformable epithelial cells, using two tensor order parameters to distinguish the force-generating active filaments in the cells from their shape. The theory demonstrates…

Soft Condensed Matter · Physics 2025-01-13 Mehrana R. Nejad , Julia M. Yeomans , Sumesh P Thampi

Conformal defects -- extended objects in conformal field theories -- carry localised excitations inherited from symmetry currents, known as the displacements and tilts. They capture the linear response of the defect to deformations of its…

High Energy Physics - Theory · Physics 2025-12-19 Nadav Drukker , Ziwen Kong , Petr Kravchuk

A convenient measure of a map or flow's chaotic action is the topological entropy. In many cases, the entropy has a homological origin: it is forced by the topology of the space. For example, in simple toral maps, the topological entropy is…

Dynamical Systems · Mathematics 2013-05-28 Sarah Tumasz , Jean-Luc Thiffeault

Active matter consumes energy from the environment and transforms it into mechanical work. Notable examples from biology include cell division, bacterial swarms, and muscle contraction. In this work, we investigate the nature of active…

Soft Condensed Matter · Physics 2023-09-28 Michael J. Landry

Topological defects in active polar fluids exhibit complex dynamics driven by internally generated stresses, reflecting the deep interplay between topology, flow, and non-equilibrium hydrodynamics. Feedback control offers a powerful means…

Soft Condensed Matter · Physics 2025-07-28 Abhinav Singh , Petros Koumoutsakos

The effective action of a (1+2)-dimensional defect is obtained as an expansion in powers of the thickness.Considering non-straight solutions as the zero order term, the corrections to the Nambu action are found to depend on the curvature…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vanda Silveira , M. D. Maia

In this paper we rigorously investigate the emergence of defects on Nematic Shells with genus different from one. This phenomenon is related to a non trivial interplay between the topology of the shell and the alignment of the director…

Analysis of PDEs · Mathematics 2017-03-17 Giacomo Canevari , Antonio Segatti

How do topological defects affect the degree of order in active matter? To answer this question we investigate an agent-based model of self-propelled particles, which accounts for polar alignment and short-ranged repulsive interactions. For…

Soft Condensed Matter · Physics 2014-04-30 Christoph A. Weber , Christopher Bock , Erwin Frey

In pulsating active matter, topological defects are motile despite the absence of any macroscopic flows and microscopic self-propulsion. We reveal that this motility arises from a ratchet effect: the mechanochemical coupling between local…

Soft Condensed Matter · Physics 2026-05-26 Luca Casagrande , Alessandro Manacorda , Etienne Fodor

Recent experimental observations have suggested that topological defects can facilitate the creation of sharp features in developing embryos. Whereas these observations echo established knowledge about the interplay between geometry and…

Soft Condensed Matter · Physics 2023-07-25 Ludwig A. Hoffmann , Livio Nicola Carenza , Luca Giomi

Quantifying the outcomes of cells collisions is a crucial step in building the foundations of a kinetic theory of living matter. Here, we develop a mechanical theory of such collisions by first representing individual cells as extended…

Biological Physics · Physics 2019-12-11 Pierre Recho , Thibaut Putelat , Lev Truskinovsky

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

We investigate the dynamics of elastic capsules suspended in two-dimensional active nematic fluids using lattice Boltzmann simulations. The capsules, modeled as flexible membranes enclosing active internal regions, exhibit a rich variety of…

Soft Condensed Matter · Physics 2026-04-13 Júlio P. A. Santos , Margarida M. Telo da Gama , Rodrigo C. V. Coelho

Due to the potential applications in biomedical engineering, it becomes more and more important to understand the process of engulfment and internalization of nanoparticles (NPs) by cell membranes. Despite the fact that the interaction…

Biological Physics · Physics 2023-12-12 Ke Xiao , Jing Li , Rui Ma , Chen-Xu Wu

Cellular actin structures are continuously turned over while keeping similar sizes. Since they all compete for a shared pool of actin monomers, the question arises how they can coexist in these dynamic steady states. Recently, the…

Subcellular Processes · Quantitative Biology 2026-04-27 Valentin Wössner , Falko Ziebert , Ulrich S. Schwarz

We have employed the Density Functional Theory formalism to investigate the nematic-isotropic capillary transitions of a nematogen confined by walls that favor antagonist orientations to the liquid crystal molecules (hybrid cell). We…

Statistical Mechanics · Physics 2009-11-10 I. Rodriguez-Ponce , J. M. Romero-Enrique , L. F. Rull

We perform dynamical simulations of a two-dimensional active nematic fluid in coexistence with an isotropic fluid. Drops of active nematic become elongated, and an effective anchoring develops at the nematic-isotropic interface. The…

Soft Condensed Matter · Physics 2014-12-17 Matthew L. Blow , Sumesh P. Thampi , Julia M. Yeomans
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