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We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biological swarms: A disordered phase with vanishing mean velocity…

统计力学 · 物理学 2015-05-19 Pawel Romanczuk , Udo Erdmann

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

其他凝聚态物理 · 物理学 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids. We review different approaches to liquids and propose that liquids do not need classifying in terms of…

软凝聚态物质 · 物理学 2016-01-13 K. Trachenko , V. V. Brazhkin

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

统计力学 · 物理学 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We present a first-order aggregation model on a group ring, and study its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the proposed model tends to an equilibrium manifold asymptotically.…

动力系统 · 数学 2020-11-25 Seung-Yeal Ha , Hansol Park

From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the…

统计力学 · 物理学 2015-05-20 Shin-ichi Sasa

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

A microscopic vision is presented of a Dual Model of Liquids from a solid picture. Among the novelties of this model is that it provides quantitative expressions of various extensive thermophysical properties. The introduction of the…

介观与纳米尺度物理 · 物理学 2025-01-22 Fabio Peluso

A microscopic $n\alpha$ cluster model was applied to $^{8}$Be, $^{12}$C, and $^{16}$O systems to investigate cluster motion in the ground state and radial excitation. In the microscopic calculation of $^{12}$C and $^{16}$O using the…

核理论 · 物理学 2024-03-21 Yoshiko Kanada-En'yo , Nobuo Hinohara

The collective decision-making exhibited by animal groups provides enormous inspiration for multi-agent control system design as it embodies several features that are desirable in engineered networks, including robustness and adaptability,…

最优化与控制 · 数学 2017-12-01 Alessio Franci , Vaibhav Srivastava , Naomi Ehrich Leonard

Fractonic phases of matter, a class of states in which collective excitations with constrained mobility exist, were originally discovered in the study of quantum error-correcting codes in solvable lattice spin models such as Haah's code and…

高能物理 - 理论 · 物理学 2026-02-10 Ling-Zheng Xia , Lixin Xu , Wei-Jia Li

We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within intricate systems of interacting agents.…

机器学习 · 计算机科学 2024-04-08 Jinchao Feng , Ming Zhong

Active solids such as cell collectives, colloidal clusters, and active metamaterials exhibit diverse collective phenomena, ranging from rigid body motion to shape-changing mechanisms. The nonlinear dynamics of such active materials remains…

软凝聚态物质 · 物理学 2024-06-21 Claudio Hernández-López , Paul Baconnier , Corentin Coulais , Olivier Dauchot , Gustavo Düring

Stochastic dynamic models have been extensively used for the description of processes with uncertainties arising in the operations research, behavioral sciences, and many other application areas. A large class of the problems from these…

数值分析 · 数学 2021-06-01 Thi Kim Thoa Thieu , Roderick Melnik

In this paper, we propose a framework to investigate the collective dynamics in ensembles of globally coupled phase oscillators when higher-order modes dominate the coupling. The spatiotemporal properties of the attractors in various…

适应与自组织系统 · 物理学 2016-04-19 Can Xu , Hairong Xiang , Jian Gao , Zhigang Zheng

Model reduction techniques have been widely used to study the collective behavior of globally coupled oscillators. However, most approaches assume that there are infinitely many oscillators. Here we propose a new ansatz, based on the…

适应与自组织系统 · 物理学 2020-08-10 Lachlan D Smith , Georg A Gottwald

We develop a kinetic theory of systems with long-range interactions taking collective effects and spatial inhomogeneity into account. Starting from the Klimontovich equation and using a quasilinear approximation, we derive a…

统计力学 · 物理学 2015-05-28 Pierre-Henri Chavanis

The emergence of order from initial disordered movement in self-propelled collective motion is an instance of nonequilibrium phase transition, which is known to be first order in the thermodynamic limit. Here, we introduce a multiplicative…

统计力学 · 物理学 2024-04-30 Fatemeh Haghsheno , Mohammad Mehrafarin

We present a second-order extension of the first-order Lohe hermitian sphere(LHS) model and study its emergent asymptotic dynamics. Our proposed model incorporates an inertial effect as a second-order extension. The inertia term can…

数学物理 · 物理学 2020-09-21 Seung-Yeal Ha , Myeongju Kang , Hansol Park