Abstract
We study the relationship between the spatial and temporal scaling in sandpile type cellular automata and show that in the thermodynamic limit, for a regular lattice with identical toppling rules except possibly at the system boundary together with a uniform but random probability distribution of particle addition, scaling in the size of the avalanche is a natural consequence. However, we find that this sort of temporal scaling behavior is in general very sensitive to the underlying probability distribution of the particle addition into the system. Hence the underlying probability distribution of particle addition can act as an external fine tuning parameter for the system to have scaling behavior.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
