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
- B. Ph. van Milligen, R. Sánchez, and C. Hidalgo, Relevance of Uncorrelated Lorentzian Pulses for the Interpretation of Turbulence in the Edge of Magnetically Confined Toroidal Plasmas, Phys. Rev. Lett. 109 (2012) 105001
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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, Phys. Rev. E 85 (2012) 011306
- P.D. Bons, B.Ph. van Milligen, P. Blum, A general unified expression for solute and heat dispersion in homogeneous porous media, Water Resour. Res. 49 (2013) 1
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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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