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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Stochastic model of self-driven two-species objects inspired by particular aspects of a pedestrian dynamics

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Author(s):
da Silva, Roberto [1] ; Hentz, Agenor [1] ; Alves, Alexandre [2]
Total Authors: 3
Affiliation:
[1] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS - Brazil
[2] Univ Fed Sao Paulo, Dept Ciencias Exatas & Terra, Diadema, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 437, p. 139-148, NOV 1 2015.
Web of Science Citations: 2
Abstract

In this work we propose a model to describe the fluctuations of self-driven objects (species A) walking against a crowd of particles in the opposite direction (species B) in order to simulate the spatial properties of the particle distribution from a stochastic point of view. Driven by concepts from pedestrian dynamics, in a particular regime known as stop-and-go waves, we propose a particular single-biased random walk (SBRW). This setup is modeled both via partial differential equations (PDE) and by using a probabilistic cellular automaton (PCA) method. The problem is non-interacting until the opposite particles visit the same cell of the target particles, which generates delays on the crossing time that depends on the concentration of particles of opposite species per cell. We analyzed the fluctuations on the position of particles and our results show a non-regular propagation characterized by long-tailed and asymmetric distributions which are better fitted by some chromatograph distributions found in the literature. We also show that effects of the crowd of particles in this situation are able to generate a pattern where we observe a small decrease of the target particle dispersion followed by an increase, differently from the observed straightforward non-interacting case. For a particular initial condition we present an interesting solution via constant density approximation (CDA). (C) 2015 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 13/22079-8 - Physics of particles and fields: standard model and its extensions
Grantee:Adriano Antonio Natale
Support Opportunities: Research Projects - Thematic Grants