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相关论文: Mapping the Phase Diagram of the Vicsek Model with…

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Recent years have witnessed a growing interest in using machine learning to predict and identify phase transitions in various systems. Here we adopt convolutional neural networks (CNNs) to study the phase transitions of Vicsek model,…

生物物理 · 物理学 2023-06-27 Tingting Xue , Xu Li , Xiaosong Chen , Li Chen , Zhangang Han

The Vicsek model, which was originally proposed to explain the dynamics of bird flocking, exhibits a phase transition with respect to the absolute value of the mean velocity. Although clusters of agents can be easily observed via numerical…

统计力学 · 物理学 2026-01-13 Hideyuki Miyahara , Hyu Yoneki , Tsuyoshi Mizohata , Vwani Roychowdhury

We introduce a Vicsek-like flocking model with a minimal form of time-delayed orientational interactions, in which the delays occur on a time scale that is well-separated from other time scales in the model. We achieve this by implementing…

软凝聚态物质 · 物理学 2025-05-19 Charles R. Packard , Daniel M. Sussman

The Vicsek model of flocking is studied by computer simulation. We confined our studies here to the morphologies and the lifetimes of transient phases. In our simulation, we have identified three distinct transient phases, namely, vortex…

统计力学 · 物理学 2018-11-05 Sayantani Kayal , Muktish Acharyya

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

软凝聚态物质 · 物理学 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

In recent years, developing unsupervised machine learning for identifying phase transition is a research direction. In this paper, we introduce a two-times clustering method that can help select perfect configurations from a set of…

无序系统与神经网络 · 物理学 2023-05-30 Nan Wu , Zhuohan Li , Wanzhou Zhang

We generalize the Vicsek model to describe the collective behaviour of polar circle swimmers with local alignment interactions. While the phase transition leading to collective motion in 2D (flocking) occurs at the same interaction to noise…

统计力学 · 物理学 2017-08-09 Benno Liebchen , Demian Levis

We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as diffusion decreases, bringing the system from a "disordered"…

偏微分方程分析 · 数学 2017-03-28 Alethea B. T. Barbaro , José A. Cañizo , José A. Carrillo , Pierre Degond

Vicsek Model is widely used in simulations of dry active matter. We re-examined two typical phase transitions in the original Vicsek model by using the velocity correlation length. One is the noise-driven disordered-to-ordered phase…

软凝聚态物质 · 物理学 2025-04-02 Wenhao Yu , Zinuo Li , Liufang Xu

Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the…

无序系统与神经网络 · 物理学 2020-09-29 W. Rzadkowski , N. Defenu , S. Chiacchiera , A. Trombettoni , G. Bighin

We apply various unsupervised machine learning methods for phase classification to investigate the finite-temperature phase diagram of the spinless Falicov-Kimball model in two dimensions. Using only particle occupation snapshots from Monte…

强关联电子 · 物理学 2025-05-27 Lukáš Frk , Pavel Baláž , Elguja Archemashvili , Martin Žonda

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

物理与社会 · 物理学 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

We propose the use of recurrent neural networks for classifying phases of matter based on the dynamics of experimentally accessible observables. We demonstrate this approach by training recurrent networks on the magnetization traces of two…

无序系统与神经网络 · 物理学 2018-08-22 Evert van Nieuwenburg , Eyal Bairey , Gil Refael

A wide variety of complex systems exhibit large fluctuations both in space and time that often can be attributed to the presence of some kind of critical phenomena. Under such critical scenario it is well known that the properties of the…

无序系统与神经网络 · 物理学 2019-05-29 Dante R. Chialvo , Sergio A. Cannas , Dietmar Plenz , Tomas S. Grigera

In this paper, we study the kinetic Vicsek model, which serves as a starting point for describing the polarization phenomena observed in the experiments of fibroblasts moving on liquid crystalline substrates. The long-time behavior of the…

偏微分方程分析 · 数学 2025-04-18 Mengyang Gu , Siming He

Machine-learning techniques are evolving into a subsidiary tool for studying phase transitions in many-body systems. However, most studies are tied to situations involving only one phase transition and one order parameter. Systems that…

统计力学 · 物理学 2019-03-20 Ke Liu , Jonas Greitemann , Lode Pollet

In flocking models, the collective motion of self-driven individuals leads to the formation of complex spatiotemporal patterns. The Standard Vicsek Model (SVM) considers individuals that tend to adopt the direction of movement of their…

统计力学 · 物理学 2013-09-17 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

We demonstrate that supervised machine learning (ML) with entanglement spectrum can give useful information for constructing phase diagram in the half-filled one-dimensional extended Hubbard model. Combining ML with infinite-size…

Machine learning for phase transition has received intensive research interest in recent years. However, its application in percolation still remains challenging. We propose an auxiliary Ising mapping method for machine learning study of…

统计力学 · 物理学 2022-03-08 Junyin Zhang , Bo Zhang , Junyi Xu , Wanzhou Zhang , Youjin Deng

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

统计力学 · 物理学 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai
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