Schlagwort-Archive: percolation

Manneville: Percolation

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“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

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„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

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“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.

Grimmett: Percolation

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“Suppose we immerse a large porous stone in a bucket of water. What is the probability that the centre of the stone is wetted? In formulating a simple stochastic model for such a situation, Broadbent and Hammersley (1957) gave birth to the ‚percolation model‘.” (p. 1) #Grimmett #Broadbent #Hammersley #percolation

Grimmett, Geoffrey R., Percolation. With 76 Illustrations. New York: Springer 1989. 296 S., ISBN 978-1-4757-4210-7.

Olsen: Archaeology

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“Archaeology has always been a force in the percolation of times by remixing the past in the present. Such polychronic simultaneities generate a time of successions.” (p. 155) #Olsen #Shanks #Webmoor #Witmore #Archaeology #percolation #time

Olsen, Bjørnar u. a., Archaeology. The Discipline of Things. Berkeley/Los Angeles/London: University of California Press 2012.