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Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

Using Langevin simulations we examine driven colloids interacting with quenched disorder. For weak substrates the colloids form an ordered state and depin elastically. For increasing substrate strength we find a sharp crossover to…

Soft Condensed Matter · Physics 2009-11-07 C. Reichhardt , C. J. Olson

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped 2-d system of particles interacting by repulsive forces. As a…

Soft Condensed Matter · Physics 2016-01-06 Jens C. Pfeifer , Tobias Bischoff , Georg Ehlers , Bruno Eckhardt

Biological functions rely on ordered structures and intricately controlled collective dynamics. In contrast to systems in thermodynamic equilibrium, order is typically established and sustained in stationary states by continuous dissipation…

We numerically examine dynamical irreversible to reversible transitions and random organization for periodically driven gliding dislocation assemblies using the stroboscopic protocol developed to identify random organization in periodically…

Materials Science · Physics 2017-12-06 C. Zhou , C. J. Olson Reichhardt , C. Reichhardt , I. Beyerlein

Active biological molecules present a powerful, yet largely untapped, opportunity to impart autonomous regulation to materials. Because these systems can function robustly to regulate when and where chemical reactions occur, they have the…

The phenomenon of group motion is common in nature, ranging from the schools of fish, birds and insects, to avalanches, landslides and sand drift. If we treat objects as collectively moving particles, such phenomena can be studied from a…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jian Sun , Jiasen Niu , Yifan Li , Yang Liu , L. N. Pfeiffer , K. W. West , Pengjie Wang , Xi Lin

Starting from an ideal crystalline state, we numerically study a nonequilibrium dynamical order- disorder transition promoted by the application of a periodic shearing protocol at low temperatures in model systems in two and three…

Soft Condensed Matter · Physics 2021-08-10 Eric Brillaux , Francesco Turci

Model order reduction in high-dimensional, nonlinear dynamical systems if often enabled through fast-slow timescale separation. One such approach involves identifying a low-dimensional slow manifold to which the state rapidly converges and…

Dynamical Systems · Mathematics 2026-05-14 Dan Wilson

A colloidal dispersion droplet evaporating from a surface, such as a drying coffee drop, leaves a distinct ring-shaped stain. Although this mechanism is frequently used for particle self-assembly, the conditions for crystallization have…

Fluid Dynamics · Physics 2011-10-20 Álvaro G. Marín , Hanneke Gelderblom , Detlef Lohse , Jacco H. Snoeijer

We study a model colloidal liquid crystal consisting of hard spherocylinders under the influence of an external aligning potential by Langevin dynamics simulation. The external field that rotates in a plane acts on the orientation of the…

Soft Condensed Matter · Physics 2014-09-25 Ellen Fischermeier , Matthieu Marechal , Klaus Mecke

Self-organization phenomena in ensembles of self-propelled particles open pathways to the synthesis of new dynamic states not accessible by traditional equilibrium processes. The challenge is to develop a set of principles that facilitate…

Soft Condensed Matter · Physics 2022-05-26 Bo Zhang , Alexey Snezhko , Andrey Sokolov

Recurrent Neural Network models have elucidated the interplay between structure and dynamics in biological neural networks, particularly the emergence of irregular and rhythmic activities in cortex. However, most studies have focused on…

Neurons and Cognition · Quantitative Biology 2025-09-04 Nimrod Sherf , Xaq Pitkow , Krešimir Josić , Kevin E. Bassler

Key features of biological activity can often be captured by transitions between a finite number of semi-stable states that correspond to behaviors or decisions. We present here a broad class of dynamical systems that are ideal for modeling…

Dynamical Systems · Mathematics 2022-12-14 Megan Morrison , Lai-Sang Young

Interactions in active matter systems inherently involve delays due to information processing and actuation lags. We numerically investigate the impact of such delays on the phase behavior of the Vicsek model for motile active matter at a…

Soft Condensed Matter · Physics 2025-08-08 Robert Horton , Viktor Holubec

Real-world networks have high-order relationships among objects and they evolve over time. To capture such dynamics, many works have been studied in a range of fields. Via an in-depth preliminary analysis, we observe two important…

Social and Information Networks · Computer Science 2025-08-26 Yunyong Ko , Da Eun Lee , Song Kyung Yu , Sang-Wook Kim

Synchronized oscillations are of critical functional importance in many biological systems. We show that such oscillations can arise without centralized coordination in a disordered system of electrically coupled excitable and passive…

Adaptation and Self-Organizing Systems · Physics 2015-06-03 Rajeev Singh , Jinshan Xu , Nicolas Garnier , Alain Pumir , Sitabhra Sinha

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

Biological Physics · Physics 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-order coupling function, neglecting other viable choices. Here…

Adaptation and Self-Organizing Systems · Physics 2025-10-13 Per Sebastian Skardal , Federico Battiston , Maxime Lucas , Matthew S Mizuhara , Giovanni Petri , Yuanzhao Zhang

Transport phenomena in out-of-equilibrium systems is immensely important in a myriad of applications in biology, engineering and physics. Complex environments, such as the cytoplasm or porous media, can substantially affect the transport…

Soft Condensed Matter · Physics 2020-02-18 Shahrzad Yazdi , Juan L. Aragones , Jennifer Coulter , Alfredo Alexander-Katz
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