Lifetime distributions for adjacency relationships in a Vicsek model

Takuma Narizuka, Yoshihiro Yamazaki

Research output: Contribution to journalArticle

Abstract

We investigate the statistical properties of adjacency relationships in a two-dimensional Vicsek model. We define adjacent edges for all particles at every time step by (a) Delaunay triangulation and (b) Euclidean distance, and obtain cumulative distributions P(τ) of lifetime τ of the edges. We find that the shape of P(τ) changes from an exponential to a power law depending on the interaction radius, which is a parameter of the Vicsek model. We discuss the emergence of the power-law distribution from the viewpoint of first passage time problem for a fractional Brownian motion.

Original languageEnglish
Article number032603
JournalPhysical Review E
Volume100
Issue number3
DOIs
Publication statusPublished - 2019 Sep 3

Fingerprint

Lifetime Distribution
Adjacency
life (durability)
Delaunay triangulation
First Passage Time
triangulation
Power-law Distribution
Fractional Brownian Motion
Euclidean Distance
two dimensional models
Statistical property
Lifetime
Power Law
Adjacent
Radius
radii
Interaction
Model
interactions
Relationships

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Lifetime distributions for adjacency relationships in a Vicsek model. / Narizuka, Takuma; Yamazaki, Yoshihiro.

In: Physical Review E, Vol. 100, No. 3, 032603, 03.09.2019.

Research output: Contribution to journalArticle

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