Dresden 2017 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Physics of Collective Mobility (Symposium SYCM, joint SOE / DY / BP / jDPG)
DY 29.4: Hauptvortrag
Mittwoch, 22. März 2017, 11:15–11:45, HSZ 02
Temporal Percolation in Critical Collective Mobility Systems — •Andreas Sorge1,2,4, Debsankha Manik1,2, Jan Nagler3,4, and Marc Timme1,2,4 — 1MPI for Dynamics and Self-Organization, Göttingen, Germany — 2Institute for Nonlinear Dynamics, Georg-August-Universität, Göttingen, Germany — 3Computational & Theoretical Physics, IfB, ETH Zürich, Switzerland — 4Organization for Research on Complex Adaptive Systems (or-cas), Göttingen, Germany
A collective mobility system is a stochastic dynamical system that operates under opposing objectives. Its function is to both satisfy individual mobility demand in a timely fashion and make efficient use of the available transport vehicles. To understand and design such a system, one must study, devise and assess dispatching rules that bundle individual requests and assign them to vehicles. If overall mobility demand exceeds capacity, the system congests and ceases to function. Determining the capacity is henceforth crucial to assess any given dispatching rule and inform system design for optimized system performance and individual utility. Intriguingly, the brink to congestion constitutes a critical transition reminiscent of percolation in time. We develop a dynamic notion of criticality of such stochastic processes, mapping return times to spatial clusters of percolation theory. We present a method to algorithmically determine the critical point and exponents and its application to collective mobility systems in this temporal percolation paradigm.