Abstract
Complex Automata were recently proposed as a paradigm to model multi-scale complex systems. The concept is formalized and the scale separation map is further investigated in relation with its capability to specify the components of Complex Automata. Five classes of scale separation are identified, each potentially giving rise to a specific multi-scale modeling paradigm. A number of canonical examples are briefly discussed.
Chapter PDF
Similar content being viewed by others
References
Hoekstra, A., Chopard, B., Lawford, P., Hose, R., Krafczyk, M., Bernsdorf, J.: Introducing Complex Automata for Modelling Multi-Scale Complex Systems. In: Proceedings of the European Conference on Complex Systems ECCS’06 (2006)
Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1998)
Succi, S.: The Lattice Boltzmann Equation, for Fluid Dynamics and Beyond. Oxford University Press, Oxford (2001)
Weinan, E., Engquist, B., Li, X., Ren, W., Vanden-Eijnden, E.: Heterogeneous Multiscale Methods, A Review. Commun. Comput. Phys. 2, 367–450 (2007)
Dupuis, A., Chopard, B.: Theory and applications of an alternative lattice Boltzmann grid refinement algorithm. Phys. Rev. E 67, 066707 (2003)
Alemani, D., Chopard, B., Buffle, J., Galceran, J.: LBGK method coupled to time splitting technique for solving reaction-diffusion processes in complex systems. Physical Chemistry and Chemical Physics 7, 3331–3341 (2005)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Hoekstra, A.G., Lorenz, E., Falcone, JL., Chopard, B. (2007). Towards a Complex Automata Framework for Multi-scale Modeling: Formalism and the Scale Separation Map. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds) Computational Science – ICCS 2007. ICCS 2007. Lecture Notes in Computer Science, vol 4487. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72584-8_121
Download citation
DOI: https://doi.org/10.1007/978-3-540-72584-8_121
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72583-1
Online ISBN: 978-3-540-72584-8
eBook Packages: Computer ScienceComputer Science (R0)