Type of studies | Title |
---|---|
Doctoral Academic Studies | Mathematics in Engineering (Year: 2, Semester: Winter) |
Doctoral Academic Studies | Mathematics in Engineering (Year: 1, Semester: Winter) |
Category | Scientific-professional |
Scientific or art field | Physics |
ECTS | 10 |
Deeper understanding of application of statistical physics in mathematics and technique.
Students are capable to solve serious problems that involve application of statistical physics in mathematics and technique.
Random walks: diffusion, current and external forces, solving the diffusion equation. Photon diffusion in the Sun and molecular motors. Temperature and equilibrium. Microcanonical ensamble. Dynamics of phase space. Liouville’s theorem. Entropy as irreversibility. Entropy as disorder. Entropy as ignorance: information and memory. Reversible computations and black hole thermodynamics. Free energy. Canonical ensamble. Uncoupled systems and canonical ensamles. Grand canonical ensamble. Quantum statistical mechanics. Mixed states and density matrix. Quantum harmonic oscillator. Bose and Fermi statistics. Non-interacting bosons and fermions. Maxwell-Boltzman quantum statistics. Black body radiation and Bose condensation. Metals and the Fermi gas. The Ising model. Magnetism, binary alloys, liquids, gases and critical point. Markov chains. Order parameters, broken symetry and toplology. Correlation, response and dissipation. Microwave background radiation. Molecular dynamycs. Damped oscillator. Spin. Abrupt phase transition. Stable and metastable phases. Continuous phase transitions.
Lectures. Consultations. Theoretical part of the material is being presented on the lectures, accompanied by appropriate characteristic examples of the application of physical principles in mathematics and technique.
Authors | Title | Year | Publisher | Language |
---|---|---|---|---|
2008 | English |
Course activity | Pre-examination | Obligations | Number of points |
---|---|---|---|
Term paper | Yes | Yes | 30.00 |
Written part of the exam - tasks and theory | No | Yes | 70.00 |
Full Professor
Associate Professor
Full Professor
Associate Professor
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© 2024. Faculty of Technical Sciences.