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Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

We study dense mixtures of passive and active self-aligning disks with isotropic or anisotropic mobility. We find that the passive fraction controls an order-disorder transition that is continuous in the isotropic case and discontinuous in…

Soft Condensed Matter · Physics 2026-04-20 Weizhen Tang , Amir Shee , Zhangang Han , Pawel Romanczuk , Yating Zheng , Cristián Huepe

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002),…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

In periodically sheared suspensions there is a dynamical phase transition characterized by a critical strain amplitude $\gamma_c$ between an absorbing state where particle trajectories are reversible and an active state where trajectories…

Soft Condensed Matter · Physics 2020-10-07 Sam Wilken , Rodrigo E. Guerra , David J. Pine , Paul M. Chaikin

Most computational accounts of cognitive maps assume that stability is achieved primarily through sensory anchoring, with self-motion contributing to incremental positional updates only. However, biological spatial representations often…

Neurons and Cognition · Quantitative Biology 2025-12-24 Yingchao Yu , Pengfei Sun , Yaochu Jin , Kuangrong Hao , Hao Zhang , Yifeng Zhang , Wenxuan Pan , Wei Chen , Danyal Akarca , Yuchen Xiao

Disordered systems like liquids, gels, glasses, or granular materials are not only ubiquitous in daily life and in industrial applications but they are also crucial for the mechanical stability of cells or the transport of chemical and…

Disordered Systems and Neural Networks · Physics 2019-04-30 Zhen Zhang , Walter Kob

Self organisation provides an elegant explanation for how complex structures emerge and persist throughout nature. Surprisingly often, these structures exhibit remarkably similar scale-invariant properties. While this is sometimes captured…

Quantum Gases · Physics 2020-06-25 S. Helmrich , A. Arias , G. Lochead , M. Buchhold , S. Diehl , S. Whitlock

Increasing evidence suggests that active matter exhibits instances of mixed symmetry that cannot be fully described by either polar or nematic formalism. Here, we introduce a minimal model that integrates self-propulsion into the active…

Soft Condensed Matter · Physics 2025-09-03 Niels de Graaf Sousa , Simon Guldager Andersen , Aleksandra Ardaševa , Amin Doostmohammadi

Urban transportation is a complex phenomenon. Since many agents are constantly interacting in parallel, it is difficult to predict the future state of a transportation system. Because of this, optimization techniques tend to give obsolete…

Adaptation and Self-Organizing Systems · Physics 2012-03-16 Carlos Gershenson

The formation of groups of interacting individuals improves performance and fitness in many decentralised systems, from micro-organisms to social insects, from robotic swarms to artificial intelligence algorithms. Often, group formation and…

Soft Condensed Matter · Physics 2023-11-14 Cristóvão S. Dias , Manish Trivedi , Giovanni Volpe , Nuno A. M. Araújo , Giorgio Volpe

Which kind of complex behavior may arise from self-organizing principles? We investigate this question for the case of snake-like robots composed of passively coupled segments, with every segment containing two wheels actuated separately by…

Neurons and Cognition · Quantitative Biology 2019-07-18 Frederike Kubandt , Michael Nowak , Tim Koglin , Claudius Gros , Bulcsu Sandor

We present computational and analytical results indicating that systems of driven entities with repulsive interactions tend to reach an optimal state associated with minimal interaction and minimal dissipation. Using concepts from…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Tamas Vicsek

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

Neurons and Cognition · Quantitative Biology 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

Amorphous solids are mechanically rigid while possessing a disordered structure similar to that of dense liquids. Recent research indicates that dynamical heterogeneity, spatio-temporal fluctuations in local dynamical behavior, might help…

Statistical Mechanics · Physics 2011-06-10 Ludovic Berthier

The Multiscale Law of Requisite Variety is a scientific law relating, at each scale, the variation in an environment to the variation in internal state that is necessary for effective response by a system. While this law has been used to…

Physics and Society · Physics 2018-12-04 Taeer Bar-Yam , Owen Lynch , Yaneer Bar-Yam

We consider the slow and athermal deformations of amorphous solids and show how the ensuing sequence of discrete plastic rearrangements can be mapped onto a directed network. The network topology reveals a set of highly connected regions…

Soft Condensed Matter · Physics 2019-11-06 Muhittin Mungan , Srikanth Sastry , Karin Dahmen , Ido Regev

Protocol-dependent states in structural glasses can encode a disordered, yet retrievable memory. While training such materials is typically done via a global drive, such as external shear, in dense active matter the driving is instead local…

Soft Condensed Matter · Physics 2024-04-05 Elisabeth Agoritsas , Peter K. Morse
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