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=== Theory ===
=== Theory ===
* [[Continuous Time Random Walk|Random walks]] and non-Gaussian statistics, [[Non-diffusive transport|non-diffusive]] and [[Anomalous transport|anomalous transport]], [[Self-Organised Criticality]] <ref>[http://link.aip.org/link/?PHPAEN/11/2272/1 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]</ref><ref>[http://link.aip.org/link/?PHPAEN/11/3787/1 B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, ''Uphill transport and the probabilistic transport model'', Phys. Plasmas '''11''', 3787 (2004)]</ref><ref>[http://dx.doi.org/10.1088/0143-0807/26/5/023 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]</ref><ref>[http://dx.doi.org/10.1088/0741-3335/47/12B/S56 B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', Plasma Phys. Control. Fusion '''47''' (2005) B743]</ref><ref>[http://dx.doi.org/10.1088/1751-8113/41/21/215004 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]</ref><ref>[http://dx.doi.org/10.1088/0029-5515/47/3/004 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]</ref><ref>[http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html B.Ph. van Milligen et al, ''Quantifying profile stiffness'', Plasma and Fusion Research, '''3''' (2008) S1070]</ref>
 
* Chaos
{| class="wikitable"  align="center" border="1"
* Neural networks<ref>[http://link.aps.org/doi/10.1103/PhysRevLett.75.3594 B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', Phys. Rev. Lett. '''75''' (1995) 3594]</ref>
|- valign="top"
* [[MHD equilibrium|Equilibrium]] calculations, [[Toroidal coordinates|toroidal harmonics]]<ref>[http://dx.doi.org/10.1016/0010-4655(94)90112-0 B.Ph. van Milligen and A. Lopez Fraguas, ''Expansion of vacuum magnetic fields in toroidal harmonics'', Computer Physics Communications '''81''', Issues 1-2 (1994) 74-90]</ref>
| [[Continuous Time Random Walk|Random walks]] and non-Gaussian statistics, [[Non-diffusive transport|non-diffusive]] and [[Anomalous transport|anomalous transport]], [[Self-Organised Criticality]]
|
* [http://link.aip.org/link/?PHPAEN/11/2272/1 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]
* [http://link.aip.org/link/?PHPAEN/11/3787/1 B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, ''Uphill transport and the probabilistic transport model'', Phys. Plasmas '''11''', 3787 (2004)]
* [[doi:10.1088/0143-0807/26/5/023|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]]
* [[doi:10.1088/0741-3335/47/12B/S56|B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', Plasma Phys. Control. Fusion '''47''' (2005) B743]]
* [[doi:10.1088/1751-8113/41/21/215004|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]]
* [[doi:10.1088/0029-5515/47/3/004|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]]
* [http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html B.Ph. van Milligen et al, ''Quantifying profile stiffness'', Plasma and Fusion Research, '''3''' (2008) S1070]
|- valign="top"
| Chaos ||
|- valign="top"
| Neural networks  
|
* [http://link.aps.org/doi/10.1103/PhysRevLett.75.3594 B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', Phys. Rev. Lett. '''75''' (1995) 3594]
|- valign="top"
| [[MHD equilibrium|Equilibrium]] calculations, [[Toroidal coordinates|toroidal harmonics]]  
|
* [[doi:10.1016/0010-4655(94)90112-0|B.Ph. van Milligen and A. Lopez Fraguas, ''Expansion of vacuum magnetic fields in toroidal harmonics'', Computer Physics Communications '''81''', Issues 1-2 (1994) 74-90]]
 
|}


=== Data analysis ===
=== Data analysis ===

Revision as of 19:44, 9 September 2011

Personal information

Contact me by clicking 'discussion' above and editing that page.

Interests

Theory

Random walks and non-Gaussian statistics, non-diffusive and anomalous transport, Self-Organised Criticality
Chaos
Neural networks
Equilibrium calculations, toroidal harmonics

Data analysis

References

  1. B.Ph. van Milligen, N.J. Lopes Cardozo, Function Parametrization: a fast inverse mapping method, Comp. Phys. Commun. 66 (1991) 243
  2. B.Ph. van Milligen et al., Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR, Nucl. Fusion 31 (1991) 309
  3. 3.0 3.1 B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, Integrated data analysis at TJ-II: the density profile, Rev. Sci. Instrum. 82 (2011) 073503
  4. B.Ph. van Milligen et al, Revision of TV Thomson scattering data analysis and detection of profile structure, Rev. Sci. Instrum. 74 (2003) 3998
  5. V. Tribaldos and B. P. van Milligen, Electron cyclotron emission calculations for TJ-II stellarator, Nucl. Fusion 36, 283 (1996)
  6. 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
  7. B.Ph. Van Milligen et al, Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas, Phys. Plasmas 12 (2005) 052507
  8. B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., Ballistic transport phenomena in TJ-II, Nucl. Fusion 42 (2002) 787
  9. B.Ph. van Milligen et al, Nonlinear phenomena and intermittency in plasma turbulence, Phys. Rev. Lett. 74, 3 (1995) 395
  10. B.Ph. van Milligen et al, Wavelet bicoherence: a new turbulence analysis tool, Phys. Plasmas 2, 8 (1995) 3017
  11. 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
  12. B.Ph. van Milligen et al, Bicoherence during confinement transitions in the TJ-II stellarator, Nucl. Fusion 48 (2008) 115003
  13. R.S. Wicox, 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
  14. 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
  15. 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
  16. B.Ph. van Milligen et al, A global resonance phenomenon at the TJ-II stellarator, Nucl. Fusion 51 (2011) 013005