1
Teaching-methodical complex of discipline " Collision processes in a dense plasmas"
THE KAZAKH NATIONAL UNIVERSITY named by al-Farabi
Physical faculty
Department of the plasma physics, spectroscopy and the computer physics
Is authorized
at the session of council of physics faculty
The protocol No___ from ___________2013
The dean of faculty ________ A.E. Davletov
"____"________________2013
SILLABUS
2 course of the magistrates, English version, semester autumn, 3 credits
On discipline "Physics of nonideal plasmas"
The lecturer: Ph.D. Tashev Bekbolat Akhanovich.
Contact information:
Physical-technical faculty., Department of the plasma physics and the computer physics, 410
room
e-mail: [email protected]
Prerequisites of discipline:
For study of a discipline student should know mathematical methods, bases of vector algebra,
numerical methods and also integrated and differential calculations to teach general courses of
physics "Thermodynamic", "Electricity and magnetism" and "Physics of plasma".
Postrequisites of discipline.
After course student have to calculate a composition, structure, trasport and thermodynamic
characterize of a nonideal plasma. For there calculations student have to choose the model of
interaction between particles, with take into account different effects (screening effects, quantum
mechanical effects diffraction and symmetry, degeneration and etc.).
The purposes and tasks of the course - study of properties for nonideal plasmas on the basis of
different theoretical methods. Student have to solve concrete tasks in physics of plasmas and to
assist in it discussions.
The tasks of study of discipline are reduced to the following:
- To understand the basis theoretical methods at investigation of ionization equilibrium and
properties for nonideal plasmas;
- To have image about fundamental problem in nonideal plasma physics and it applied;
- To differ plasma and corresponding apply necessary method of calculations;
- To choose the model of interaction between particles, with take into account different effects
(screening effects, quantum mechanical effects diffraction and symmetry, degeneration and
etc.);
- To apply derived knowledge for analyze of concrete physical phenomena;
2
-
To analyze derived results in respect to real plasmas medium.
In course “Physics of noideal plasmas” the basic theoretical methods for analyze and
solving of nonlinearity equations, which describe different processes in plasma, will be detailed.
Structure of a discipline:
№
1.
2.
3.
4.
5.
6.
7.
8.
9.
Weeks
Scope
Lectures
Week
Hours
Self -study
Week
Hours
Module 1. Fundamentals of the scattering theory
Fundamentals of the classical
1
1
1
scattering theory of particles in
force center. The condition of
application of the classical
case. Scattering cross section
for the simple potentials.
Fundamentals of the quantum
2
1
2
scattering theory of particles in
force center.
Born approximation. The
3
1
3
condition of its application.
Green's function for a free
4
1
4
particle. The theory of elastic
scattering
in
the
Born
approximation.
The
differential elastic scattering
cross section for the simple
potentials.
The method of partial waves in
5
1
5
the scattering theory. The
dependence of the scattering
cross sections on the orbital
quantum number and the phase
shift of the potential in the
force center.
The numerical calculation of
6
1
6
the phase shift for the
Coulomb potential
The elastic scattering in the
7
1
7
Coulomb field. Exchange
effects in elastic scattering of
identical particles.
The basic information about
8
1
8
the
inelastic
scattering.
Scattering of electrons on the
atom without exchange
Collision theory with the
9
1
9
redistribution of particles.
Reactions.
2
2
2
2
2
2
2
2
2
3
Electron scattering on the
10
1
10
10. hydrogen atom with the
exchange
Module 2. The passing of particles through environments
Ionization losses of fast
11
1
11
particles in the environment
11.
(non-relativistic
and
relativistic cases)
The
emission
of
12
1
12
electromagnetic waves in the
12.
environment.
VavilovCherenkov effect.
Dynamic screening. Effective
13
1
13
mass. Stopping power of the
13.
plasma. Vavilov-Cherenkov
radiation of plasma waves
The Fokker-Planck equation.
14
1
14
14. The
Fokker-Planck
coefficients.
The induced polarization field
15
1
15
of test particle. The friction
15.
coefficients in the equilibrium
plasma
2
2
2
2
2
2
THE LIST of the TASKS FOR HOMEWORK and DIAGRAM of THEIR PERFORMANCE
Topics for self-study work
Week
s
1-3
4-6
7-10
11-15
Topics for self-study work
To
verify
the
Born
approximation for the screened
potential.
To calculate the differential
scattering cross section for the
screened potential.
The numerical calculation of
the phase shift for the Debye
potential
To calculate the Fokker-Planck
coefficients in the equilibrium
plasma.
References
to literature
Forms of
control
Deadlines
Review
4 week
5
Scientific
seminar
7 week
5
Review
11 week
5
Scientific
seminar
15 week
5
Score
Refences:
Mandatory:
1. Landau L.D., Lifshiz E.M. Theor.physics. T.1. Mechanics – M.Nauka, 1973
2. Golant V.E., Zhilinsky A.N., Sakharov S.A. Fundamentals of plasma physics. –
M.Atomizdat., 1977
3. Artsimovich L.A., Sagdeev R.Z. Plasma physics for physicists. - Moscow: Atomizdat,
1979.
4. Frank-Kamenetskiy D.A. Lectures on plasma physics. - Moscow: Atomizdat, 1964.
5. Spitzer L. Physics of fully ionized gas.- Moscow: Inostr. Lit., 1957.
4
6. Ichimaru S. Basic principles of plasma physics, - Moscow: Atomizdat, 1975.
7. Landau L.D., Lifshiz E.M. Theor.physics. T.8. Electrodynamics of continuum. –
M.Nauka, 1982
8. Artsimovich L.A., Luk’yanov S.Yu. Charged particles motions in electromagnetic fields.
- Moscow: Nauka, 1972.
9. Croll N., Traivelspis A. Basics of plasma physics. – Moscow: Mir, 1975.
10. Baimbetov F.B. Introduction to plasma physics. – Almaty, «Print – S», 2007, 136 p.
11. John Howard. Introduction to Plasma Physics Australian National University , 2002
http://wwwrsphysse.anu.edu.au/~jnh112/AIIM/c17/
12. Introduction to Plasma Physics by Michael Gedalin. Ben-Gurion University 2006
13. Magnetic Fields and Magnetic Diagnostics for Tokamak Plasmas by Alan Wootton 2008
14. Lindhard J.E. On the properties of a gas of charged particles Kaben havn, 1954, 56 p.
15. Mott N., Messi G. Theory of atom’s collisions. – M.Mir, 1969
16. Shafranov V.D. Electromagnetic waves in plasma. Problems of plasma theory. Vyp.3.M.: Atomizdat, 1963
Additional:
1. Trubnikov B.A. Particles collisions in fully ionized plasmas. In book Issues of
plasma physics (IPP) v.1. – Moscow: Atomizdat, 1963.
2. Shvilkin B.N. Gaseous electronics and plasma physics. – Moscow: Moscow
University, 1979.
3. Dzhumagulova K. N., Baimbetov F. B., Ramazanov T. S., Kodanova S. K. Basics
of plasma physics. – Almaty, «Print – S», 2006, 190 p.
4. Fundamentals of Plasma Physics by James D. Callen Publisher: University of Wisconsin,
2006
5. 1, Stopping power of nonideal, partially ionized plasmas / D.O. Gericke, M. Schlanges,
Th. Bornath // Physical Review E, Vol. 65, 036406.
6. 2. Nonlinear collisional absorbtion in dense laser plasmas / Th. Bornath, M. Schlanges,
P. Hilse, D. Kremp // Physical Review E, Vol. 64, 026414.
7. 3. Chemical effects on the Bethe-Bloch stopping formula within the statistical model /
Dieter Semrad // Physical Review A, Vol. 58, N.6.
8. 4. Beam-plasma coupling effects on the stopping power of dense plasmas / D.O. Gericke,
M. Schlanges // Physical Review E, Vol. 60, N.1.
The forms of knowledge control: 2 written colloquiums.
SWS - 4 tasks per semester.
Final grade during the exam session.
Criteria for grading the progress, points in %. Forms of intermediate control and
examination
For theoretical question the marks for the first intermediate control consist of the sum of
scores on a written (test) + colloquium including conversation with a student, marks for work in
the classroom and marks for self-study work. The same holds for the second intermediate
control. Grading for the work on practical exercises is set in accordance with the volume of the
work done. The final examination shall be in writing programs.
Grading politics. Schedule of intermediate controls
The first intermediate control (IC 1) (theoretical questions and practical tasks) is done at the 7 th
week . Grades (in percentage or, what is the same, in points) include marks for the test +
colloquium talk with a student - 22%, for the work in the classroom (practical work) -3% and
accomplishment of the SSW (Self Study Work) - 5%. In blocks Getting Started and General
Physics, respectively, 20% for performing laboratory work and for work on practical exercises 10%. The second intermediate control is conducted on the 15th week. The final score for the IC 2
is defined similarly IC 1. The maximum score for each IC 1 or IC 2 is 30%. Results of
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intermediate controls appear in the statements on cumulative basis and are necessary for
admission to the differential examination and exam. If student’s score in the semester after
intermediate controls is less than half of the maximum (60%), i.e. less than 30%, then he is not
admitted for the exam. Score for the exam is 40%.
Grading scheme
А
АB+
В
ВС+
С
СD+
D
F
I
W
AW
AU
P/NP
4
3.67
3.33
3
2.67
2.33
2
1.67
1.33
1
0
0
0
0
0
-
95-100%
90-94
85-89
80-84
75-79
70-74
65-69
60-64
55-59
50-54
0-49
0
0
0
0
65-100
Excellent
Good
Satisfactory
Fail
Incomplete
Withdraw
Automatic withdraw
Attended
Pass/No Pass
When assessing student’s work during the semester the following is taken into account:
 attendance,
 active and productive participation in practical work,
 reading of mandatory and additional literature,
 completion of SSW,
 timely completion of all tasks.
For not timely completion of SSWL AW grade is automatically awarded.
Policy of academic behavior and ethics
Be tolerant, respect other people’s opinion. Formulate your objections in correct forms.
Plagiarism and other forms of cheating are not allowed. Prompting and cheating are strongly
banned during SSW, intermediate controls and final examination as well as copying of
problems’ solutions by other students and taking examination by substitutes. A student caught in
falsification is automatically awarded «F».
Aid
For advice on the implementation of individual works SSW, their delivery and protection, as
well as additional information passed material and all other emerging issues on the lecture
courses, please, contact your tutor during his office hours.
Considered and approved on the meeting of the department of plasma physics and computer physics
On « 29 » may 2012, protocol № 39
Head of the department _____________
Arkhipov Yu.V.
(signature)
Lecturer
_____________
(signature)
Tashev B.A.