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.

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.