mean-field theorytopologyWe investigate the properties of a strongly correlated electron system in the proximity of a Mott insulating phase within the Hubbard model, using a cluster generalization of the dynamical mean field theory. We find that Mottness is intimately connected with the existence in...
YUNG B K,KOTLIAR G,TREMBLAY A-M S.Quantum Monte Carlo study of strongly correlatedelectrons:cellular dynamical mean-field theory. Physical Review B Condensed Matter and Materials Physics . 2006YUNG B K,KOTLIAR G,TREMBLAY A-M S.Quantum Monte Carlo study of strongly correlated electrons:cellular ...
Kotliar in which they make a comparison between two cluster techniques, the {\\it Cellular Dynamical Mean Field Theory} (CDMFT) and the {\\it Dynamical Cluster Approximation} (DCA). Based upon an incorrect implementation of the DCA technique in their work, they conclude that the CDMFT is ...
Li and Packard used the mean-field parameters to partition the ECA rule space [Math Processing Error] and identify transitions between Wolfram’s classes similar to bifurcations in the theory of dynamical systems [32]. Furthermore their partitioning highlighted the importance of the mean-field parame...
mean fieldpercolationProbabilistic cellular automata form a very large and general class of stochastic processes. These automata exhibit a wide range of complex behavior and are of interest in a number of fields of study, including mathematical physics, percolation theory, computer science, and ...
A. Dynamical theory of active cellular response to external stress. Phys. Rev. E 78, 031923 (2008). 49. Rehfeldt, F. & Discher, D. E. Biophysics: Cell dipoles feel their way. Nat. Phys. 3, 592–593 (2007). 50. Sabass, B., Gardel, M. L., Waterman, C. M. & Schwarz, U....
(c) simulation results for deformation facing RBCs interacting with DLD triangular posts having different rigidities [122]; (d) interaction of glutaraldehyde-treated (stiff) and nontreated (compliant) RBCs with DLD cylindrical posts [119]; (e) sorting of RBCs based on their dynamical properties [...
These patterns suggest potentially important principles governing cortical computation, such as the dynamical organization of groups of neurons into feedforward loop motifs, and the adjustment of network modularity based on stimulus complexity. Beyond their relevance for basic neuroscience, these findings ...
Bussemaker, H., A. Deutsch, and E. Geigant. 1997. Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion.Physical Review Letters78: 5018–5021. ArticleGoogle Scholar Bussemaker, H. J. 1996. Analysis of a pattern forming lattice-gas automaton...
Okubo, A. 1986. Dynamical aspects of animal grouping: swarms, schools, flocks, and herds.Advances in Biophysics22: 1–94. ArticleGoogle Scholar Peruani, F., M. Bär, and A. Deutsch. 2008. A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms.The Eu...