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Collective motion of self-propelled particles: kinetic phase transition in one dimension

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TLDR
In this article, a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions.
Abstract
We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a new continuum theory that can account for the development of the symmetry broken state and belongs to the same universality class as the discrete SPP model.

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Introduction to Phase Transitions and Critical Phenomena

David J. Thouless
- 01 Apr 1972 - 
TL;DR: There has been a lot of experimental and theoretical work on the nature of critical phenomena in the neighbourhood of second order phase transitions as discussed by the authors, but it has not been easy to get a good overall view of this work without digging through the rather complex original literature, although there are some good review articles covering particular aspects of the work.
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Entropic Ratchet transport of interacting active Brownian particles

TL;DR: It is found that the interaction between active particles can greatly affect the ratchet transport and, for the strong interaction, the average velocity is independent of the interaction.
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Instabilities, pattern formation and mixing in active suspensions

TL;DR: In this paper, the evolution of self-propelled particles is modeled using a conservation equation for the particle configurations, coupled to a mean-field description of the flow arising from the stress exerted by the particles on the fluid.

Modelling collective movement and transport network formation in living systems

TL;DR: The emergence of collective patterns from repeated local interactions between individuals is a common feature to most living systems, spanning a variety of scales from cells to animals and humans.

Transport theoretical studies of some microscopic and macroscopic systems

TL;DR: Kirtland Air Force Base Air Force Research Laboratory, and the Department of Energy at Los Alamos National Laboratory as mentioned in this paper, and the US Air Force at Kirtland, USA.
References
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Coordination of groups of mobile autonomous agents using nearest neighbor rules

TL;DR: A theoretical explanation for the observed behavior of the Vicsek model, which proves to be a graphic example of a switched linear system which is stable, but for which there does not exist a common quadratic Lyapunov function.
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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

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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Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

TL;DR: It is argued that a topological interaction is indispensable to maintain a flock's cohesion against the large density changes caused by external perturbations, typically predation, and supported by numerical simulations.
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The Mechanics and Statistics of Active Matter

TL;DR: In this paper, a unified view of the many kinds of active matter is presented, encompassing not only living systems but inanimate analogs, including all living organisms and their motile constituents such as molecular motors.
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