Active Particles, Volume 3: Advances in Theory, Models, and Applications

This edited volume collects six surveys that present state-of-the-art results on modeling, qualitative analysis, and simulation of active matter, focusing on specific applications in the natural sciences. The chapters are written by leading experts and cover topics such as variability and heterogeneity in natural swarms, multiscale aspects of the dynamics of human crowds, mathematical modeling of cell collective motion, clustering dynamics on graphs, random batch methods for classical and quantum interacting particle systems, and the consensus-based global optimization algorithm.

Format: Paperback / softback
Length: 226 pages
Publication date: 30 March 2023
Publisher: Springer Nature Switzerland AG

This edited volume brings together six comprehensive surveys that delve into the cutting-edge realm of modeling, qualitative analysis, and simulation of active matter, with a specific focus on diverse applications in the natural sciences. Building upon the success of the previous Active Particles volumes, these chapters are authored by esteemed experts in the field, showcasing the rich diversity of theoretical perspectives and practical applications within an interdisciplinary framework. The topics covered in this volume are as follows:
1. Variability and Heterogeneity in Natural Swarms: This chapter explores the intricate dynamics of natural swarms, including their composition, structure, and behavior. It examines the factors that contribute to the variability and heterogeneity observed in these systems, such as individual behavior, environmental interactions, and collective intelligence.
2. Multiscale Aspects of the Dynamics of Human Crowds: This chapter delves into the complex dynamics of human crowds, considering their size, composition, movement patterns, and interactions. It employs multiscale modeling techniques to capture the intricate interactions between individuals and groups, highlighting the role of social forces, communication, and perception in shaping crowd behavior.
3. Mathematical Modeling of Cell Collective Motion Triggered by Self-Generated Gradients: This chapter focuses on the mathematical modeling of cell collective motion, particularly in the context of biological systems. It explores the mechanisms underlying cell migration, aggregation, and tissue formation, employing mathematical models to capture the dynamics of cell-cell interactions and the influence of self-generated gradients on collective behavior.
4. Clustering Dynamics on Graphs: This chapter examines the dynamics of clustering in complex networks, including social networks, biological networks, and other systems. It explores the formation, evolution, and stability of clusters, as well as the mechanisms that drive their organization and structure. The chapter also discusses the application of clustering analysis in various fields, such as social science, biology, and computer science.
5. Random Batch Methods for Classical and Quantum Interacting Particle Systems: This chapter discusses the application of random batch methods in the simulation of classical and quantum interacting particle systems. It explores the numerical techniques used to solve these systems, including Monte Carlo methods, particle swarm optimization, and density functional theory. The chapter also discusses the potential applications of these methods in fields such as materials science, chemistry, and physics.
6. The Consensus-Based Global Optimization Algorithm and Its Recent Variants: This chapter explores the consensus-based global optimization algorithm, a powerful tool for solving optimization problems in complex systems. It discusses the algorithm's principles, implementation, and recent variants that have been developed to address specific challenges in optimization. The chapter also highlights the application of the algorithm in fields such as machine learning, robotics, and energy optimization.
Mathematicians and other members of the scientific community with an interest in active matter and its wide-ranging applications will find this edited volume to be a timely, authoritative, and invaluable resource. The comprehensive surveys presented herein provide a comprehensive overview of the current state-of-the-art in modeling, qualitative analysis, and simulation of active matter, offering valuable insights into the diverse theoretical and practical aspects of this field. By exploring these topics in depth, this volume serves as a valuable resource for researchers, scholars, and practitioners seeking to advance their understanding and applications of active matter in the natural sciences.

Weight: 367g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030933043
Edition number: 1st ed. 2022