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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 20:44, 9 September 2011

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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
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