Statistical physics of vehicular traffic and some related systems
TLDR
In this paper, a critical review of particle-hopping models of vehicular traffic is presented, focusing on the results obtained mainly from the so-called "particle hopping" models, particularly emphasizing those formulated in recent years using the language of cellular automata.Citations
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I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
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Statistical physics of social dynamics
TL;DR: In this article, a wide list of topics ranging from opinion and cultural and language dynamics to crowd behavior, hierarchy formation, human dynamics, and social spreading are reviewed and connections between these problems and other, more traditional, topics of statistical physics are highlighted.
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Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
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Simulation of pedestrian dynamics using a two dimensional cellular automaton
TL;DR: In this article, a two-dimensional cellular automaton model is proposed to simulate pedestrian tra c c. It is a vmax = 1 model with exclusion statistics and parallel dynamics, and long-range interactions between the pedestrians are mediated by a so-called "oor #eld which modi4es the transition rates to neighbouring cells.
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The physics of traffic jams
TL;DR: In this paper, a car-following model is proposed to investigate the bunching transition and bus delay in traffic flow and pedestrian flow, and detailed results obtained mainly from the microscopic car following models are presented.
References
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Journal ArticleDOI
I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
Book
Phase Transitions and Critical Phenomena
TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.