Effects of Communication Efficiency and Exit Capacity on Fundamental Diagrams for Pedestrian Motion in an Obscure Tunnel---A Particle System Approach

DOI10.1137/15M1030960zbMath1382.91062arXiv1602.09038MaRDI QIDQ5298145

Adrian Muntean, Matteo Colangeli, Emilio Nicola Maria Cirillo

Publication date: 13 December 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.09038

zbMATH Keywords

continuity equationporous media equationlattice modelfundamental diagramshydrodynamic limitsevacuation scenariopedestrian transport in the dark

Mathematics Subject Classification ID

Applications of statistical and quantum mechanics to economics (econophysics) (91B80) Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Traffic problems in operations research (90B20) Models of societies, social and urban evolution (91D10) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (4)

Toward a Quantitative Reduction of the SIR Epidemiological Model ⋮ Trapping in bottlenecks: interplay between microscopic dynamics and large scale effects ⋮ Uphill diffusions in single and multi-species systems ⋮ Transport in quantum multi-barrier systems as random walks on a lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit
• Local equilibrium for a one dimensional zero range process
• A remark on the hydrodynamics of the zero-range processes
• Invariant measures for the zero range process
• Mathematical methods for hydrodynamic limits
• Interaction of Markov processes
• Hydrodynamic limit for particle systems with nonconstant speed parameter
• Finite size scaling in three-dimensional bootstrap percolation
• Dynamics of pedestrians in regions with no visibility -- a lattice model without exclusion
• Invisible Control of Self-Organizing Agents Leaving Unknown Environments
• From the Microscale to Collective Crowd Dynamics
• Nonequilibrium statistical mechanics of the zero-range process and related models
• On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
• Metastability effects in bootstrap percolation
• The fundamental diagram of pedestrian movement revisited
• Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics

This page was built for publication: Effects of Communication Efficiency and Exit Capacity on Fundamental Diagrams for Pedestrian Motion in an Obscure Tunnel---A Particle System Approach