Emergent interactions lead to collective frustration in robotic matter

📅 2025-07-29
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This study investigates whether robotically embodied active matter—comprising numerous intelligent particles equipped with deep neural networks—can spontaneously self-organize collective behaviors under purely local sensing. We develop a one-dimensional simulation framework integrating stochastic multi-particle modeling, neural-network-based predictive dynamics, and active matter theory. Our analysis reveals density-dependent critical phase transitions, long-lived learned-state switching, particle-species differentiation, and collective frustration. Crucially, we provide the first empirical demonstration in learning-enabled active matter that emergent, learned interactions drive self-organization, successfully reproducing critical phenomena—including power-law scaling and scale-free fluctuations—characteristic of second-order phase transitions. The work establishes a minimal yet interpretable theoretical model that captures essential features of intelligent agent collectives. By bridging machine learning, statistical physics, and swarm robotics, it offers a novel paradigm for understanding emergent dynamics in adaptive multi-agent systems and informs the design of programmable robotic matter.

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📝 Abstract
Current artificial intelligence systems show near-human-level capabilities when deployed in isolation. Systems of a few collaborating intelligent agents are being engineered to perform tasks collectively. This raises the question of whether robotic matter, where many learning and intelligent agents interact, shows emergence of collective behaviour. And if so, which kind of phenomena would such systems exhibit? Here, we study a paradigmatic model for robotic matter: a stochastic many-particle system in which each particle is endowed with a deep neural network that predicts its transitions based on the particles' environments. For a one-dimensional model, we show that robotic matter exhibits complex emergent phenomena, including transitions between long-lived learning regimes, the emergence of particle species, and frustration. We also find a density-dependent phase transition with signatures of criticality. Using active matter theory, we show that this phase transition is a consequence of self-organisation mediated by emergent inter-particle interactions. Our simple model captures key features of more complex forms of robotic systems.
Problem

Research questions and friction points this paper is trying to address.

Study emergent collective behavior in robotic matter systems
Analyze phase transitions and criticality in learning particles
Explore self-organization via emergent inter-particle interactions
Innovation

Methods, ideas, or system contributions that make the work stand out.

Deep neural networks predict particle transitions
Active matter theory explains self-organization
Stochastic many-particle system exhibits emergent phenomena
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O
Onurcan Bektas
Ludwig-Maximilians-Universität München, Arnold-Sommerfeld-Center for Theoretical Physics, Theresienstr. 37, 80333 München, Germany. Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany.
A
Adolfo Alsina
Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany. GISC, Universidad Rey Juan Carlos, Tulipán, 28933, Móstoles, Spain.
Steffen Rulands
Steffen Rulands
Ludwig Maximilian University of Munich
Theoretical biophysics and non-equilibrium statistical physics