Random walks and non-Gaussian statistics, non-diffusive and anomalous transport, Self-Organised Criticality
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- B.Ph. van Milligen, R. Sánchez, and B.A. Carreras, Probabilistic finite-size transport models for fusion: anomalous transport and scaling laws, Phys. Plasmas 11, 5 (2004) 2272
- B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, Uphill transport and the probabilistic transport model, Phys. Plasmas 11, 3787 (2004)
- B.Ph. van Milligen, I. Calvo, and R. Sánchez, Continuous time random walks in finite domains and general boundary conditions: some formal considerations, J. Phys. A: Math. Theor. 41 (2008) 215004
- B.Ph. van Milligen, B.A. Carreras, V.E. Lynch and R. Sánchez, Pulse propagation in a simple probabilistic transport model, Nucl. Fusion 47 (2007) 189
- B.Ph. van Milligen et al, Quantifying profile stiffness, Plasma and Fusion Research, 3 (2008) S1070
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General diffusion
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- B.Ph. van Milligen, P.D. Bons, B.A. Carreras and R. Sánchez, On the applicability of Fick's Law to diffusion in inhomogeneous systems, Eur. J. Phys. 26 (2005) 913
- B.Ph. van Milligen, B.A. Carreras and R. Sánchez, The foundations of diffusion revisited, Plasma Phys. Control. Fusion 47 (2005) B743
- B.Ph. van Milligen, P.D. Bons, Analytical model for tracer dispersion in porous media, Accepted, Phys. Rev. E (2012)
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Neural networks
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Equilibrium calculations, toroidal harmonics
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Fast profile reconstruction using Function parametrization
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Bayesian data analysis
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Biorthogonal decomposition |
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Analysis and interpretation of diagnostic output, e.g.:
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Magnetic islands
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- B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, Gradients of electron temperature and density across m=2 islands in RTP, Nucl. Fusion 33 (1993) 1119
- B.Ph. van Milligen, L. García, B.A. Carreras, M.A. Pedrosa, C. Hidalgo, J.A. Alonso, T. Estrada and E. Ascasíbar, MHD mode activity and the velocity shear layer at TJ-II, Nucl. Fusion 52 (2012) 013006
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Analysis of turbulence and transport
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Non-linear and non-standard data analysis techniques
- Bicoherence
- Hilbert-Huang transform
- Hurst or rescaled-range analysis, structure functions, etc.
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- B.Ph. van Milligen et al, Nonlinear phenomena and intermittency in plasma turbulence, Phys. Rev. Lett. 74, 3 (1995) 395
- B.Ph. van Milligen et al, Wavelet bicoherence: a new turbulence analysis tool, Phys. Plasmas 2, 8 (1995) 3017
- B.Ph. van Milligen et al, Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence, Rev. Sci. Instrum. 68 (1997) 967
- B.A. Carreras, B.Ph. van Milligen, et al, Experimental evidence of long-range correlation and self-similarity in plasma fluctuations, Phys. Plasmas 6, 5 (1999) 1885
- B.Ph. van Milligen et al, Bicoherence during confinement transitions in the TJ-II stellarator, Nucl. Fusion 48 (2008) 115003
- R.S. Wilcox, B.Ph. van Milligen, C. Hidalgo, et al., Measurements of bicoherence and long-range correlations during biasing in the HSX stellarator, Nucl. Fusion 51 (2011) 083048
- B.A. Carreras et al., Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer, Nucl. Fusion 51 (2011) 053022
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Confinement transitions
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Tomography |
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