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Curvature fundamentally alters the collective properties of soft, active, and biological materials. Here we study motility-induced phase separation (MIPS), a canonical non-equilibrium transition, and demonstrate that even weak and slowly…

软凝聚态物质 · 物理学 2026-03-17 Toler H. Webb , Helen S. Ansell , Daniel M. Sussman

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

软凝聚态物质 · 物理学 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

Cellular membranes exhibit a large variety of shapes, strongly coupled to their function. Many biological processes involve dynamic reshaping of membranes, usually mediated by proteins. This interaction works both ways: while proteins…

软凝聚态物质 · 物理学 2018-06-12 Afshin Vahid , Anđela Šarić , Timon Idema

The surface curvature of membranes, interfaces, and substrates plays a crucial role in shaping the self-assembly of particles adsorbed on these surfaces. However, little is known about the interplay between particle anisotropy and surface…

软凝聚态物质 · 物理学 2025-10-30 Gautam Bordia , Thomas P. Russell , Ahmad K. Omar

Curvature plays a central organizational role in active polymer dynamics. Using large-scale Langevin-dynamics simulations, we study active semiflexible filaments confined to smooth curved surfaces and map how curvature, bending rigidity,…

软凝聚态物质 · 物理学 2026-02-18 Giulia Janzen , Euan D. Mackay , Rastko Sknepnek , D. A. Matoz-Fernandez

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

Self-propelled particles can spontaneously form dense phases from a dilute suspension in a process referred to as motility-induced phase separation. The properties of the out-of-equilibrium structures that are formed are governed by the…

软凝聚态物质 · 物理学 2016-09-08 Sven Erik Ilse , Christian Holm , Joost de Graaf

We have studied the collective motion of polar active particles confined to ellipsoidal surfaces. The geometric constraints lead to the formation of vortices that encircle surface points of constant curvature (umbilics). We have found that…

软凝聚态物质 · 物理学 2017-07-04 Sebastian Ehrig , Jonathan Ferracci , Richard Weinkamer , John W. C. Dunlop

Curved structures in soft matter and biological systems commonly emerge as a result of self-assembly processes where building blocks aggregate in a controlled manner, giving rise to specific system structure and properties. Learning how to…

软凝聚态物质 · 物理学 2025-02-24 Andraž Gnidovec , Simon Čopar

We present a geometric design rule for size-controlled clustering of self-propelled particles. We show that active particles that tend to rotate under an external force have an intrinsic, signed parameter with units of curvature which we…

In biological systems, active agents such as actomyosin and cells move and interact on curved surfaces, exhibiting diverse phenomena. These observations have motivated studies of how curvature shapes their collective behavior. Here, using a…

软凝聚态物质 · 物理学 2025-12-19 Tatsuo Shibata

Here we show that coupling to curvature has profound effects on collective motion in active systems, leading to patterns not observed in flat space. Biological examples of such active motion in curved environments are numerous: curvature…

软凝聚态物质 · 物理学 2015-03-05 Rastko Sknepnek , Silke Henkes

The effect of curvature on an ensemble of repulsive active Brownian particles (ABPs) moving on a spherical surface is studied. Surface curvature strongly affects the dynamics of ABPs, as it introduces a new time scale $\tau=R/v_0$, with…

软凝聚态物质 · 物理学 2024-06-04 Priyanka Iyer , Roland G. Winkler , Dmitry A. Fedosov , Gerhard Gompper

Membrane bending is an extensively studied problem from both modeling and experimental perspectives because of the wide implications of curvature generation in cell biology. Many of the curvature generating aspects in membranes can be…

软凝聚态物质 · 物理学 2021-07-21 Arijit Mahapatra , David Saintillan , Padmini Rangamani

Morphogenesis emerges from dynamic feedback among geometry, mechanics, and chemistry; however, disentangling these contributions in living systems remains challenging. Here, we focus on the interplay between geometry and mechanics by…

Many-body interactions in systems of active matter can cause particles to move collectively and self-organize into dynamic structures with long-range order. In cells, the self-assembly of cytoskeletal filaments is critical for cellular…

软凝聚态物质 · 物理学 2020-05-26 Jeffrey M. Moore , Matthew A. Glaser , Meredith D. Betterton

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

软凝聚态物质 · 物理学 2024-03-21 Lea Happel , Axel Voigt

Induced by proteins within the cell membrane or by differential growth, heating, or swelling, spontaneous curvatures can drastically affect the morphology of thin bodies and induce mechanical instabilities. Yet, the interaction of…

软凝聚态物质 · 物理学 2018-01-31 Matteo Pezzulla , Norbert Stoop , Mark P. Steranka , Abdikhalaq J. Bade , Douglas P. Holmes

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

软凝聚态物质 · 物理学 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader

Colloids and proteins alike can bind to lipid bilayers and move laterally in these two-dimensional fluids. Inspired by proteins that generate membrane curvature, sense the underlying membrane geometry, and migrate to high curvature sites,…

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