Proposal of dissertation topics
detailed info is provided by supervisor. Contact details in the description of dissertation topics.
THEORETICAL GEOPHYSICS, NCN project, Białecki M., Cellular automata modeling inter-event time distributions for earthquakes
The PhD scholarship is partially funded by the National Science Centre of Poland for the project
Mechanistic explanation of a generation of (and deviations from) the universal curve of the Earthquake Recurrence Time Distribution by means of constructions of solvable stochastic cellular automata and their analytical description.
Tasks description:
- Generating inter-event time distributions using various versions of Random Domino Automata
- Numerical and analytical tests of the properties of extensions of Random Domino Automata
- Comparative tests with real data
Requirements:
The candidate should hold master's degree in exact sciences (preferred physics or mathematics), natural sciences (earth sciences) or technical sciences and a positive result of recruitment for doctoral studies at the IGF PAN (until the start of work).
Requirements for candidates: experience in the field of stochastic processes or statistical physics and modelling of complex systems; basic knowledge of earthquakes; ability to use the Mathematica program in the field of numerical calculations and simulations; good English in speech and writing; strong motivation for scientific work and willingness to develop knowledge in the field of theoretical geophysics.
Financial provisions: 9 months with monthly fellowship 4667 PLN before taxes (= approx. 3400 after taxes), remaining months during 1st and 2nd year of study (up to September 2021) approx. 2100 PLN after taxes, 3rd and 4th year of study approx. 3200 after taxes.
Additional provisions are possible depending on successful research grants applications.
The supervisor will be Dr hab. Mariusz Białecki, bialecki@igf.edu.pl, Institute of Geophysics PAS.
MAGNETISM, NCN project, Mizerski K., Analysis of magnetohydrodynamic instabilities
The PhD scholarship is partially funded by the National Science Centre of Poland for the project
Tasks description:
- A joint numerical and theoretical approach to the analysis of hydrodynamic equations, to determine the conditions for excitation of instabilities in the Solar tachocline.
- Writing regular reports on progress and presentation of the results to the project management board according to the agreed schedule.
- Help in the maintenance of the day-to-day work of the Institute of Geophysics PAS including organization of research and teaching.
Abstract:
The task of the student will involve analysis of the so-called Magnetic Buoyancy Instability (MBI) and its relation to hydro-magnetic dynamo in the solar interior. The study will be concerned with a model of the Solar tachocline – a region of strong shear, where the Solar toroidal field is greatly amplified. The Ph.D. student will be required to do the theoretical and/or numerical analysis of the dynamical equations, that is the Navier-Stokes equation with the Lorentz force and the coupled induction equation resulting from Maxwell’s and Ohm’s laws. The ultimate aim of the project is to establish the effective dynamical equations governing the magnetic field evolution in the Solar tachocline, based on the temporal and spatial scales introduced by the Magnetic Buoyancy instability and the Magnetorotational instabilities. A detailed analysis of the instabilities, in particular their weakly nonlinear evolution and saturation will allow to model the time evolution of the Solar magnetic field. The results will be confronted with numerical solutions of the full system of equations (not simplified by multiple scale analysis) with parameter values corresponding to the Solar-tachocline regime.
Requirements:
- Participant of the doctoral studies, working on the preparation of the doctoral dissertation in the field of mathematics, physics or engineering, preferably fluid dynamics.
- Solid basis in the fields of mathematics and physics (candidates who graduated from physical and/or mathematical faculties are preferred).
- Programming skills (e.g. C, FORTRAN, PYTHON etc.).
- Experience in the fields of fluid dynamics and/or electrodynamics is greatly welcome.
Remuneration paid in the form of a scholarship:
- first year range: 2500 – 4000 PLN/month (additional grant funding),
- next years: about 2500 PLN/month
The supervisor will be Dr hab. Krzysztof Mizerski, kamiz@igf.edu.pl, Institute of Geophysics PAS.
