Template-Type: ReDIF-Paper 1.0
Title: Temporal criticality
Abstract: In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases, (universal) critical exponents, and related dynamical properties. Here we consider the functionality of systems, notably operations in socio-technical ones, production in economic ones and possibly information-processing in biological ones, where timing is of crucial importance. We introduce a stylized model on temporal networks with the magnitude of delay-mitigating buffers as the control parameter. The model exhibits temporal criticality, a novel form of critical behavior in time. We characterize fluctuations near criticality, commonly referred to as "avalanches", and identify the corresponding critical exponents. We show that real-world temporal networks, too, exhibit temporal criticality. We also explore potential connections with the Mode-Coupling Theory of glasses and the directed polymer problem.
Author-Name: Moran, José
Author-Name: P. Pijpers, Frank
Author-Name: Weitzel, Utz
Author-Name: Panja, Debabrata
Author-Name: Bouchaud, Jean-Philippe
Author-Name: Romeijnders, Matthijs
Author-Name: Le Doussal, Pierre
File-URL: https://oms-inet.files.svdcdn.com/production/files/Temporal-criticality-paper.pdf
File-Format: Application/pdf
File-Function: 
Length: 21 pages
Creation-Date: 2023-09
Handle: RePEc:amz:wpaper:2023-18