title: Criticality of forcing directions on the fragmentation and resilience of grid networks.
abstract: A general framework for probing the dynamic evolution of spatial networks comprised of nodes applying force amongst each other is presented. Aside from the already reported magnitude of forces and elongation thresholds, we show that preservation of links in a network is also crucially dependent on how nodes are connected and how edges are directed. We demonstrate that the time it takes for the networks to reach its equilibrium network structure follows a robust power law relationship consistent with Basquin's law with an exponent that can be tuned by changing only the force directions. Further, we illustrate that networks with different connection structures, node positions and edge directions have different Basquin's exponent which can be used to distinguish spatial directed networks from each other. Using an extensive waiting time simulation that spans up to over 16 orders of magnitude, we establish that the presence of memory combined with the scale-free bursty dynamics of edge breaking at the micro level leads to the evident macroscopic power law distribution of network lifetime.
authors.affiliation: 1] National Institute of Physics, University of the Philippines Diliman, Quezon City, Philippines 1101 [2] School of Physical and Mathematical Sciences, Nanyang Technological University 21 Nanyang Link, Singapore 637371.
authors.forename: Cheryl
authors.initials: C
authors.lastname: Abundo
authors.affiliation: 1] National Institute of Physics, University of the Philippines Diliman, Quezon City, Philippines 1101 [2] Complex Systems Group, Institute of High Performance Computing, Computing Science, Agency for Science Technology and Research 1 Fusionopolis Way, Connexis (North Tower) Singapore 138632.
authors.forename: Christopher
authors.initials: C
authors.lastname: Monterola
authors.affiliation: 1] National Institute of Physics, University of the Philippines Diliman, Quezon City, Philippines 1101 [2] Complex Systems Group, Institute of High Performance Computing, Computing Science, Agency for Science Technology and Research 1 Fusionopolis Way, Connexis (North Tower) Singapore 138632.
authors.forename: Erika Fille
authors.initials: EF
authors.lastname: Legara