Complex Heterogeneous Systems : : Thermodynamics, Information Theory, Composites, Networks, and Electrochemistry / / Markus Schmuck.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1
• VerfasserIn: Schmuck, Markus,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2024]; ©2024
• Year of Publication: 2024
• Language: English
• Series: De Gruyter STEM
• Physical Description: 1 online resource (XVIII, 284 p.)

The author's research on energy storage systems generally was confronted with five characteristics, i.e., complex, interacting, transporting, reacting, and heterogeneous systems. Hence, we refer to these kind of systems as Complex Heterogeneous Systems (CHeSs). The work considers interacting systems that exchange energy, mass, information, etc. in various ways. The elementary building blocks of CHeSs are based on fundamental thermodynamic, chemical, material, physical, and mathematical principles such as variational and graph-theoretic concepts. It investigates ways of defining complexity, computing percolation thresholds, making smart decisions also by learning from data/past experiences (e.g., providing a systematic approach towards battery management systems), and identifying battery life (e.g., by blow-up analysis of highly nonlinear concentrated solutions). Ultimately, the elaborated tools shall allow the reader to obtain a general understanding for simulating (also on quantum computers), controlling, and developing CHeSs as well as to pave the way for a general theory on CHeSs generalizing the view on complexity, measurement, estimation, and control.

Table of Contents

Frontmatter -- Acknowledgment -- Preface -- Contents -- Part I: Foundations and examples of complex heterogeneous systems -- 1 Introduction and motivation -- 2 Fundamental building blocks for CHeSs -- 3 Examples of CHeSs: toward reliable and systematic descriptions -- 4 CHeSs and measurements: state and parameter estimation -- 5 Reliability and degradation in CHeSs -- 6 Multiscale CHeSs: upscaling, effective properties, and macroscopic descriptions -- 7 Quantum algorithms describing CHeSs -- 8 Electrochemical CHeSs -- Part II: Rigorous mathematical methods: CHeSs relevant applications -- 9 Electrochemical CHeSs: from well-posedness to battery failure/blow-up -- 10 Rigorous upscaling of CHeSs: the two-scale convergence method -- 11 CHeSs governed by interparticle forces -- Bibliography -- Index