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Assessing the Autonomic and Behavioral Effects of Passive Motion in Rats using Elevator Vertical Motion and Ferris-Wheel Rotation
Published on: February 7, 2020
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Dynamic behavior of elevators under random inflow of passengers
1Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, Japan and Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo, Japan.
Physical Review. E
|May 19, 2021
Summary
Elevators synchronize spontaneously, emerging from random passenger calls like oscillators. This study models elevator dynamics, revealing how passenger flow and interactions create emergent order during peak periods.
Area of Science:
- Complex systems
- Statistical physics
- Operations research
Background:
- Elevators function as complex systems driven by random passenger demand.
- Understanding elevator dynamics is crucial for optimizing urban transportation during peak hours.
Purpose of the Study:
- To investigate the dynamic behavior of elevators during peak periods.
- To analyze the emergence of synchronization and ordering in elevator systems.
- To model the factors influencing elevator round-trip time.
Main Methods:
- Numerical simulations of elevator movement and passenger arrivals.
- Analytical modeling using self-consistent equations.
- Analysis of elevator synchronization using an order parameter.
- Investigating interactions including passenger presence and absence of volume exclusion.
Main Results:
- Elevator round-trip time was reproduced by a self-consistent equation dependent on passenger inflow rate and call locations.
- Synchronization of two elevators was observed, independent of their final destination.
- Spontaneous ordering of elevators emerges from random (Poisson) noise.
- A self-consistent equation incorporating passenger interaction stabilized and characterized elevator ordering.
Conclusions:
- Elevator systems exhibit emergent spontaneous ordering driven by random passenger demand.
- Passenger interactions play a key role in stabilizing and characterizing this emergent order.
- The study provides a framework for understanding and optimizing elevator traffic flow.
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