: Frank Schweitzer
: Brownian Agents and Active Particles Collective Dynamics in the Natural and Social Sciences
: Springer-Verlag
: 9783540738459
: 1
: CHF 54.10
:
: Naturwissenschaft
: English
: 426
: DRM
: PC/MAC/eReader/Tablet
: PDF
`This book lays out a vision for a coherent framework for understanding complex systems`` (from the foreword by J. Doyne Farmer). By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. This way, an efficient method for computer simulations of complex systems is developed which is also accessible to analytical investigations and quantitative predictions. The book demonstrates that Brownian agent models can be successfully applied in many different contexts, ranging from physicochemical pattern formation, to active motion and swarming in biological systems, to self-assembling of networks, evolutionary optimization, urban growth, economic agglomeration and even social systems.
Foreword6
Preface10
Contents13
1. Complex Systems and Agent Models17
1.1 Introduction to Agent-Based Modeling17
1.2 Brownian Agents38
1.3 Brownian Motion55
2. Active Particles66
2.1 Active Motion and Energy Consumption66
2.2 Active Motion in One-Dimensional Systems80
2.3 Active Motion in Two-Dimensional Systems110
2.4 Swarming of Active Particles129
3. Aggregation and Physicochemical Structure Formation147
3.1 Indirect Agent Interaction147
3.2 Aggregation of Brownian Agents159
3.3 Pattern Formation in Reaction–Diffusion Systems178
4. Self-Organization of Networks188
4.1 Agent-Based Model of Network Formation188
4.2 Estimation of Network Connectivity195
4.3 Construction of a Dynamic Switch205
5. Tracks and Trail Formation in Biological Systems215
5.1 Active Walker Models215
5.2 Discrete Model of Track Formation224
5.3 Track Formation and Aggregation in Myxobacteria237
5.4 Trunk Trail Formation of Ants244
6. Movement and Trail Formation by Pedestrians258
6.1 Movement of Pedestrians258
6.2 Trail Formation by Pedestrians262
7. Evolutionary Optimization Using Brownian Searchers278
7.1 Evolutionary Optimization Strategies278
7.2 Evaluation and Optimization of Road Networks290
7.3 Asymptotic Results on the Optimization Landscape300
8. Analysis and Simulation of Urban Aggregation305
8.1 Spatial Structure of Urban Aggregates305
8.2 Rank–Size Distribution of Urban Aggregates317
8.3 Kinetic Models of Urban Growth328
9. Economic Agglomeration344
9.1 Migration and Agglomeration of Workers344
9.2 Dynamic Model of Economic Concentration354
10. Spatial Opinion Structures in Social Systems365
10.1 Quantitative Sociodynamics365
10.2 Collective Opinion Formation of Brownian Agents371
10.3 Spatial Opinion Patterns in a Model of Direct Interactions383
Bibliography394
Index421