Recurrence quantification analysis of simulations of near-marginal dissipative-trapped-electron-mode turbulence

Mier, J. A.; Sánchez, R.; García, L.; Varela, J.; Newman, D. E.
June 2011
Physics of Plasmas;Jun2011, Vol. 18 Issue 6, p062306
Academic Journal
Recurrence quantification analysis (RQA) is a powerful tool to study dynamical systems and to help us understand and characterize the underlying physics when a transition occurs. The idea is based on the fact that, given sufficiently long time lapses, every dynamical system returns to states arbitrarily close to those it had in the past. This fundamental property of dynamical systems is called recurrence. In this work, we analyze, using the RQA technique, the recurrence properties of time series obtained from a series of numerical simulations of a dissipative-trapped-electron-mode (DTEM) turbulence model in near-marginal conditions where a transition in the nature of turbulent transport was observed as a subdominant diffusive channel strength is increased from zero [J. A. Mier et al., Phys. Plasmas 15, 112301 (2008)]. The results of the RQA analysis clearly show that the degree of determinism and complexity of the dynamics closely follows the degree of non-diffusiveness in the observed transport.


Related Articles

  • Turbulencia sintética tridimensional: escalamiento anómalo en el rango inercial y propiedades multifractales de la disipación. Rosales H., Carlos // INGENIARE - Revista Chilena de Ingeniería;may-ago2011, Vol. 19 Issue 2, p196 

    This work presents an analysis of the scaling properties of the MMLM method, used for the numerical construction of three-dimensional turbulent vector fields. Specifically, the scaling properties for the velocity field structure functions are studied. It is found that MMLM gives scaling of...

  • Numerical Methods for Fitting and Stimulating Autoregressive-to-Anything Processes. Cario, Marne C. // INFORMS Journal on Computing;Winter98, Vol. 10 Issue 1, p72 

    Discusses a numerical method for fitting an AutoRegressive-to-Anything (ARTA) process, a time series with arbitrary marginal distribution and autocorrelation structure. Implementation of ARTA in the software ARTAFACTS; Observations from ART processes for use as inputs to a computer simulation.

  • Analysis of an Airfoil using a Transition and Turbulence Model. Islam, Mazharul; Fürst, Jiří; Wood, David; Ani, Farid Nasir // Applied Mechanics & Materials;2016, Vol. 819, p356 

    In order to evaluate the performance of airfoils with computational fluid dynamics (CFD) tools, modelling of transitional region in the boundary layer is very critical. Currently, there are several classes of transition-based turbulence model which are based on different methods. Among these,...

  • Simple models for heterogeneous catalysis: Phase transition-like behavior in nonequilibrium systems. Meakin, Paul; Scalapino, Douglas J. // Journal of Chemical Physics;7/1/1987, Vol. 87 Issue 1, p731 

    A simple model for heterogeneous catalysis, recently introduced by Ziff, Gulari, and Barshad (ZGB), has been explored using computer simulation. This is a nonequilibrium model which exhibits phase transition-like behavior. The only parameter in this model (Y) sets the ratio with which two...

  • The isotropic–nematic phase transition in uniaxial hard ellipsoid fluids: Coexistence data and the approach to the Onsager limit. Camp, Philip J.; Mason, Carl P.; Allen, Michael P.; Khare, Anjali A.; Kofke, David A. // Journal of Chemical Physics;8/15/1996, Vol. 105 Issue 7, p2837 

    The isotropic-nematic (I-N) phase transition in hard ellipsoid fluids has been studied by computer simulation, using the Gibbs--Duhem integration technique introduced by Kofke; and theoretically, using Onsager theory and the Parsons--Lee improvement. In the simulations, the I-N coexistence line...

  • Water’s character from dielectric relaxation above its Tg. Johari, G. P. // Journal of Chemical Physics;10/22/1996, Vol. 105 Issue 16, p7079 

    To determine the merits of the conjecture for a distinct phase of liquid water below 160 K, and of its computer simulation [Nature 380, 328 (1996)], the dielectric relaxation times of pure bulk water and pure water sequestered in the pores of various polymer matrices are examined. The new data...

  • Shift of first-order phase transitions in thin films due to boundary fields: A computer simulation. Albano, E. V.; Binder, K.; Heermann, D. W.; Paul, W. // Journal of Chemical Physics;9/15/1989, Vol. 91 Issue 6, p3700 

    The first-order phase transition of the ferromagnetic Ising model driven by the magnetic field at temperatures below criticality is studied by Monte Carlo methods for a two-dimensional thin film geometry, L×M with two free boundaries of length M>L, at which boundary fields act. This model...

  • Simulation of the crystallization of thin films by rapid thermal processing. Pascual, R.; Sayer, M.; Lo, A.; Herbert, S.; Rolim, L. C.; Townley, N. // Journal of Applied Physics;1/1/1996, Vol. 79 Issue 1, p493 

    Presents information on a study which performed a computer simulation of phase transformations taking place in thin films under various time-temperature regimes. Methodology of the study; Results and discussion; Conclusions.

  • Gas-liquid nucleation in partially miscible systems: Free energy surface from computer simulation. Yoo, S.; Oh, K. J.; Zeng, X. C. // AIP Conference Proceedings;2000, Vol. 534 Issue 1, p107 

    The formation free energy surface of binary clusters in a non-ideal mixture is obtained using a constrained-ensemble Monte Carlo approach. The special feature of the surface is that two minima appear at cluster sizes greater than the size of critical cluster. The results of this large-scale...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics