Individual
course details |
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Study programme |
Theoretical and
experimental physics |
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Chosen research area (module) |
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Nature and level of studies |
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Name of the course |
Statistica
Physics I |
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Professor (lectures) |
Prof. Milan Knežević |
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Professor/associate (examples/practical) |
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Professor/associate (additional) |
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ECTS |
4 |
Status
(required/elective) |
required |
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Access requirements |
Mathematics
4b |
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Aims of the course |
Learn the main concepts, laws and methods of phenomenological
thermodynamics and stochastic processes. |
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Learning outcomes |
Students
will be able to apply the acquired knowledge and methods in studies of simple
equilibrium and out of equilibrium many-body systems. |
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Contents of the course |
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Lectures |
Fundamental
concepts and laws of equilibrium phenomenological thermodynamics;
applications to simple physical systems. Legendre transformations and
thermodynamic potentials. Equilibrium and stability conditions; response
functions. Phases and phase transitions; Ehrenfest's clasification. Critical
phenomena, critical exponents, scaling hypothesis. Mean-field theory. Landau
theory. Random walks on lattices; diffusion equation. Langevin theory of
Brownian motion. General stochastic
processes. Markov processes; Chapman-Kolmogorov equation. Diffusive Markov
processes; Fokker-Planck equation. Gaussian processes. Wiener-Hinchin
theorem. Discrete Markovian processes; Master equations. |
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Examples/ practical classes |
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Recommended books |
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1 |
H.
Callen, Thermodynamics and introduction to thermostatistics 2nd ed. John
Wiley (1985) |
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2 |
S.
Milošević, Osnovi fenomenološke termodinamike, PFV (1979) |
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3 |
R.
Kubo, Thermodynamics, North-Holland (1968) |
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4 |
N.G.
Van Kampen, Stochastic processes in physics and chemistry, 3rd ed. Elsevier
(2007) |
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5 |
P.A.
Martin, Physique statistique des processus irreversibles, ENS Lyon (2004) |
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Number of classes (weekly) |
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Lectures |
Examples&practicals |
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Student
project |
Additional |
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2 |
2 |
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Teaching and learning methods |
Lectures,
example exercises, consultations, homework assignments |
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Assessment (maximal 100) |
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assesed coursework |
mark |
examination |
mark |
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coursework |
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written
examination |
30 |
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practicals |
10 |
oral
examination |
50 |
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papers |
10 |
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presentations |
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