Blackboard lectures for the year 2012

Quarter 3: The Magnetic Interstellar Medium | Prof. Kostas Tassis | home   

Syllabus:

Lecture 1: Derivation of MHD equation from the Boltzmann equation. Validity conditions. Flux Freezing approximation.

Lecture 2: Linearization of MHD equations and derivation of different MHD wave modes. MHD Instabilities and their relevance to the dynamics of the interstellar medium.

Lecture 3: Derivation of Magnetic Virial theorem and exploration of the stability conditions form interstellar clouds. Critical mass-to-magnetic-flux ratio. Scaling of B-field with density. Angular momentum problem of star formation – magnetic braking . Magnetic flux problem of star formation - ambipolar diffusion.

Lecture 4: Means of observing interstellar magnetic fields. Polarization of lights. Zeeman effect. Lecture 5: Faraday Rotation. Polarization due to interstellar dust.

Schedule:   

Lecture 1: August 31, 10:00-12:00 in 0.01 | video

Lecture 2: September 4, 10:00-12:00 in 0.01 | video

Lecture 3: September 5, 10:00-12:00 in 0.02 | video

Lecture 4: September 6, 10:00-12:00 in 0.01 | video

Lecture 5: September 7, 10:00-12:00 in 0.01 | video

Lecture 6: September 8, 10:00-12:00 in 0.01 | video

Suggested Reading:

Spitzer, L., Jr. 1998, Physical Processes in the Interstellar Medium, New York: John Wiley & Sons

Shu, F. H. 1992, Gas Dynamics, Volume II, Sausalito: University Science Books

Draine, B. T. 2011, Physics of the Interstellar and Intergalactic Medium, Princeton: Princeton University Press

Chen, F. F. 1974, Introduction to Plasma Physics and Controlled Fusion, 2nd edn, Volume I: Plasma Physics, New york: Plenum Press

Jackson, J. D. 1999, Classical Electrodynamics, 3rd edn, New York: John Wiley & Sons

Whittet, D. C. B. 1992, Dust in the Galactic Environment, New York: IOP Publishing

Kulsrud, R. M. 2005, Plasma Physics for Astrophysics, Princeton: Princeton University Press

Quarter 2: Physics of Extragalactic Jets | Dr. Tuomas Savolainen 

Syllabus:

1. Introduction to relativistic jets and AGN.

2. Special relativity of jets.

3. Non-thermal emission processes.

4. Measuring the physical properties of jets.

5. Instabilities in jets (Dr. M. Perucho).

6. Acceleration and collimation of jets

Schedule:   

Lecture 1: July 17, at 10:00 in 0.01 | video 

Lecture 2: July 18, at 10:00 in 0.01 | video

Lecture 3: July 19, at 10:00 in 0.01 | video

Lecture 4: July 20, at 10:00 in 0.01 | video

Lecture 5: July 24, at 10:00 in 0.01 (Dr. M. Perucho, Uni. Valencia) | video

Lecture 6: July 25, at 10:00 in 0.01 | video

Further Reading: 

 Relativistic Jets from Active Galactic Nuclei, M. Boettcher, D.l E. Harris, H. Krawczynski ISBN-13: 978-3527410378 

Further Reading for “Instabilities in the jet” (M. Perucho):

- Blandford, R.D, Rees, M.J. 1974, MNRAS, 169, 395

- Blandford, R.D, Pringle, J.E. 1976, MNRAS, 176, 443

- Birkinshaw, M. 1991b, in Beams and Jets in Astrophysics, Hughes, P.A. ed., Cambridge, p.278

- Chandrasekhar, S., 1961, Hydrodynamic and hydromagnetic stability, Clarendon Press.

- Ferrari, A., Trussoni, E., and Zaninetti, L. 1978, A&A, 64, 43

- Ferrari, A., Trussoni, E., Zaninetti, L. 1981 MNRAS, 196, 1051

- Hanasz, M., 1997, in Relativistic jets in AGNs, Ostrowski, M., Sikora, M., Madejski, G., Begelman, M., eds, Krak¶ow, p. 85 (astro-ph 9711275)

- Hardee, P.E. 1979, ApJ, 234, 47

- Hardee, P.E. 1982, ApJ, 257, 509

- Hardee, P.E. 1987, ApJ, 318, 78

- Hardee, P.E. 2000, ApJ, 533, 176

- Hardee, P.E., Walker, R.C., Gómez, J.L. 2005, ApJ, 620, 646

- Lobanov, A.P., Zensus, J.A. 2001, Science, 294, 128

- Payne, D.G, Cohn, H. 1985, ApJ, 191, 655

- Perucho, M., Hanasz, M., Martí, J.Ma, Sol, H. 2004a, A&A, 427, 415

- Perucho, M., Martí, J.Ma, Hanasz, M., 2004b, A&A, 427, 431

- Perucho, M., 2005, PhD Thesis

- Turland, B.D., and Scheuer, P.A.G. 1976, MNRAS, 176, 421

Quarter 1: Time series analysis applications in real-time: Methodology and Application | Dr. Dimitris Emmanoulopoulos 

Syllabus:

1)General Introduction: Statistical distributions, random noise processes (white, red), production of artificial light curves through Power Spectral Density. Linear time series analysis methods 2)Time domain methodologies: Running variance methods: Structure function, auto- and cross-correlation functions 3)Frequency domain methodologies: Fourier analysis: Power spectral density estimation, cross spectrum analysis Nonlinear time series analysis methods 4)Very basic introduction with examples for the most commonly met concepts: dynamical system, embedding dimension etc. 5)Commonly used methodologies: phase space reconstruction, dimensionality analysis and what we learn from them

Schedule:   

Lecture 1: March 05 at 10:00 in 0.01 | video

Lecture 2: March 06 at 10:00 in 0.01 | video

Lecture 3: March 07 at 10:00 in 0.01 | video

Lecture 4: March 08 at 10:00 in 0.01 | video

Lecture 5: March 09 at 10:00 in 0.01 | video

Literature: 

Dynamical systems

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Provenzale et al. 1992, Physica D, 58, 31

Vio et al. 1992, ApJ, 391, 518

 

Power Spectral Density

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Priestley 1981, Spectral Analysis and Time Series: Probability and Mathematical Statistics, London: Academic Press, |c1981

Papadakis et al. 1993, MNRAS, 261, 612

Timmer & König (1995), A&A, 300,707      (IDL code: Google "Documentation for IDL Function timmerlc")

 

Structure function

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Emmanoulopoulos et al.  (2010), MNRAS, 404, 931

 

Cross correlation function

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Edelson and Krolik et al.  (1988), ApJ, 333, 646   (Discrete Correlation Function)

Alexander T. (1997),proc:Astronomical Time Series, 218, 163, ser.Astrophysics and Space Science Library. ed. Maoz,Sternberg & Leibowitz (z-transformed discrete correlation function)

Li et al. (2004), Chin. J. Astron. Astrophys. 4, 583 (Modiefied cross correlation function)

Gaskell and Sparke (1986), ApJ, 305, 175 (Interpolatedd cross correlation function)

Gaskell and Peterson (1987), ApJS, 65, 1 (Interpolatedd cross correlation function)

 

General statistics and time series

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Bevington & Robinson 1992, Data Reduction and Error Analysis for the Physical Sciences, 2nd edn, McGraw-Hill, New York

Press et al.1992, Numerical recipes in C. The art of scientific computing, Cambridge: University Press, |c1992, 2nd ed.

Brockwell and Davis 2000, Introduction to Time Series and Forecasting, New York: Springer-Verlag, |c2002, 2nd ed.

 

Nonlinear time series analysis

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Albano, A. M., Passamante, A., & Farrell, M. E. 1991, Physica D: Nonlinear Phenomena, 54, 85

Takens, F. 1981, in Lecture Notes in Mathematics, Vol. 898, Dynamical Systems and Turbulence, ed. D. A. Rand & L. S. Young, Warwick 1980 (Berlin: Springer-Verlag), 366-381

Sauer, T., Yorke, J. A., & Casdagli, M. 1991, Journal of Statistical Physics, 65, 579

Brandstater, A. & Swinney, H. L. 1987, Phys. Rev. A, 35, 2207

Sato, S., Sano, M., & Sawada, Y. 1988, Phys. Rev. A, 37, 1679

Elner, S. 1988, Phys.Lett.A, 133, 128

Grassberger, P. & Procaccia, I. 1983, Phys. Rev. Lett., 50, 346

Grassberger, P. & Procaccia, I. 1983, Physica D: Nonlinear Phenomena, 9, 189