“Percolation theory is concerned primarily with the existence of such ‚open paths‘.” (p. 1) #Grimmett #percolation
Grimmett, Geoffrey R., Percolation. With 76 Illustrations. New York: Springer 1989. 296 S., ISBN 978-1-4757-4210-7.
Schlagwort-Archive: percolation
Guyon et al.: Percolation
Zitat
“Les modèles de percolation utilisant des réseaux de liens partiellement connectés permettent de rendre compte de la transition entre un sol et un gel.” (p. 123) #Guyon #percolation #réseaux
Guyon, Étienne/Pedregosa, Alice/Salviat, Béatrice, Matière et matériaux. De quoi est fait le monde? (Pour la Science). Paris: Belin 2010.
Manneville: Percolation
Zitat
“The theoretical account of this scenario follows Pomeau’s idea of an equivalence of STI with a time–oriented stochastic process known as directed percolation in statistical physics.” (p. 57) #Manneville #Pomeau #STI #StatisticalPhysics #percolation
Manneville, Paul, Rayleigh–Bénard Convection: Thirty Years of Experimental, Theoretical, and Modeling Work, in: Innocent Mutabazi/José Eduardo Wesfreid/Étienne Guyon (Hgg.), Dynamics of Spatio-Temporal Cellular Structures. Henri Benard Centenary Review. New York: Springer 2006, 41–65.
Zheng: Phase Transition
Zitat
„Percolation transition, the transition from a disconnected state to a connected one, has been regarded as a fundamental model of phase transitions in nonequilibrium systems. One of the most fundamental characteristics of a phase transition is its order, i.e., whether the macroscopic quantity affects changes continuously or discontinuously at the transition point. The percolation phase transitions in random networks were originally considered to be robust continuous phase transitions.“ (p. vii) #Zheng #percolation #PhaseTransition #random #network
Zheng, Zhiming, Supervisor’s Foreword, in: Explosive Percolation in Random Networks. Berlin/Heidelberg: Springer 2014, vii–viii.
Manneville: Universality
Zitat
“In particular, fundamental problems related to universality could be tackled, both for confine systems where the theory of dynamical systems is relevant (chaos and transition scenarios, e.g., the subharmonic cascade) and for extended systems where statistical physics is an appealing framework (Ginzburg–Landau formalism and nonlinear pattern selection, space–time intermittency and directed percolation).” (p. 61) #Manneville #universality #system #chaos #transition #StatisticalPhysics #percolation
Manneville, Paul, Rayleigh–Bénard Convection: Thirty Years of Experimental, Theoretical, and Modeling Work, in: Innocent Mutabazi/José Eduardo Wesfreid/Étienne Guyon (Hgg.), Dynamics of Spatio-Temporal Cellular Structures. Henri Benard Centenary Review. New York: Springer 2006, 41–65.