Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Forming a Jam and Dynamical Phase Transition of Asymmetric Dissipative System
Yuki Sugiyama
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2013 Volume 23 Issue 1 Pages 2-10

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Abstract

Dynamical behaviors in a dissipative system of particles with an asymmetric interaction, are investigated. In the system, the emergence of a moving pattern appears by the collective motion of particles as the non-trivial valance between the in-and-out flows of energy through the non-equilibrium system. The typical example is a jam formation in traffic flow. Several patterns of collective movements in 2-dimensional space are also presented.

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© 2013 The Japan Society for Industrial and Applied Mathematics
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