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Stochastic dynamical systems are ubiquitous in physics, biology, and engineering, where both deterministic drifts and random fluctuations govern system behavior. Learning these dynamics from data is particularly challenging in…

Numerical Analysis · Mathematics 2026-03-10 Ziheng Guo , Igor Cialenco , Ming Zhong

The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero…

adap-org · Physics 2016-08-16 G. Grinstein , M. A. Muñoz , Yuhai Tu

Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different underlying mechanisms have been…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Peter Borowski , Rachel Kuske , Yue-Xian Li , Juan Luis Cabrera

In this article, we investigate the impact of self-alignment and anti-self-alignment on collective phenomena in dense active matter. These mechanisms correspond to effective torques that align or anti-align a particles orientation with its…

Soft Condensed Matter · Physics 2025-04-08 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter…

Soft Condensed Matter · Physics 2020-04-22 Jay Prakash Singh , Shradha Mishra

Large language models perform text generation through high-dimensional internal dynamics, yet the temporal organisation of these dynamics remains poorly understood. Most interpretability approaches emphasise static representations or causal…

Artificial Intelligence · Computer Science 2026-01-21 Hassan Ugail , Newton Howard

Complex systems, such as airplanes, cars, or financial markets, produce multivariate time series data consisting of a large number of system measurements over a period of time. Such data can be interpreted as a sequence of states, where…

Machine Learning · Computer Science 2019-06-25 Saachi Jain , David Hallac , Rok Sosic , Jure Leskovec

The development of porous polymeric membranes remains a labor-intensive process, often requiring extensive trial and error to identify optimal fabrication parameters. In this study, we present a fully automated platform for membrane…

We study a system of purely repulsive spherical self-propelled particles in the minimal set-up inducing Motility-Induced Phase Separation (MIPS). We show that, even if explicit alignment interactions are absent, a growing order in the…

Statistical Mechanics · Physics 2020-02-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

Present-day atomistic simulations generate long trajectories of ever more complex systems. Analyzing these data, discovering metastable states, and uncovering their nature is becoming increasingly challenging. In this paper, we first use…

Computational Physics · Physics 2023-06-23 Pietro Novelli , Luigi Bonati , Massimiliano Pontil , Michele Parrinello

According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of fluctuation-driven ordering with a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Tadeusz Platkowski

We consider a continuum model for motility-induced phase separation (MIPS) of active Brownian particles [J. Chem. Phys. 142, 224149 (2015)]. Using a recently introduced perturbative analysis [Phys. Rev. E 98, 020604(R) (2018)], we show that…

Soft Condensed Matter · Physics 2019-07-02 Lisa Rapp , Fabian Bergmann , Walter Zimmermann

We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regime of weak dipolar coupling, predicts the onset of motility-induced phase separation (MIPS), consistent with Brownian dynamics (BD)…

Soft Condensed Matter · Physics 2022-03-29 Elena Sesé-Sansa , Guo-Jun Liao , Demian Levis , Ignacio Pagonabarraga , Sabine H. L. Klapp

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

The dynamics of a self-propelled particle are typically hard-wired by its microscopic construction, limiting the range of behaviors accessible without redesigning the particle itself. Here we show that intramolecular nonreciprocity provides…

Soft Condensed Matter · Physics 2026-02-17 Ye Zhang , Meng Xiao , Duanduan Wan

Active particles, including swimming microorganisms, autophoretic colloids and droplets, are known to self-organize into ordered structures at fluid-solid boundaries. The entrainment of particles in the attractive parts of their spontaneous…

Soft Condensed Matter · Physics 2018-07-04 Shashi Thutupalli , Delphine Geyer , Rajesh Singh , Ronojoy Adhikari , Howard Stone

Trapped-ion systems are a leading platform for quantum computing. The M{\o}lmer-S{\o}rensen (MS) gate is a widely used method for implementing controlled interactions in multipartite systems. However, due to unavoidable interactions with…

Quantum Physics · Physics 2025-10-14 Dharmaraj Ramachandran , Ganesh Hanchanahal , Radhika Vathsan

Multivariate data analysis and machine-learning classification become popular tools to extract features without physical models for complex environments recognition. For electronic noses, time sampling over multiple sensors must be a fair…

Soft Condensed Matter · Physics 2023-08-25 Wiem Haj Ammar , Aicha Boujnah , Aimen Boubaker , Adel Kalboussi , Kamal Lmimouni , Sébastien Pecqueur

Motion mimicking is a foundational task in physics-based character animation. However, most existing motion mimicking methods are built upon reinforcement learning (RL) and suffer from heavy reward engineering, high variance, and slow…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Jiawei Ren , Cunjun Yu , Siwei Chen , Xiao Ma , Liang Pan , Ziwei Liu

The brain modifies its synaptic strengths during learning in order to better adapt to its environment. However, the underlying plasticity rules that govern learning are unknown. Many proposals have been suggested, including Hebbian…

Neurons and Cognition · Quantitative Biology 2020-12-09 Aran Nayebi , Sanjana Srivastava , Surya Ganguli , Daniel L. K. Yamins