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\begin{document}
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\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2021--22--B term}\\[0.2\baselineskip]

\end{center}

\begin{description}
  \item[Course Name]
    Thermodynamics and Stat. Mech. 2

  \item[Course Number]
    \LRE{203‭.1‭.2261}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/spring2022/courses/thermodynamics-and-stat-mech-2}


\item[Office Hours]
  \url{https://math.bgu.ac.il/en/teaching/hours}
\end{description}

\section*{Abstract}




\section*{Requirements and grading\footnote{Information may change during the first two weeks of the term. Please consult the webpage for updates}}






\section*{Course topics}

Thermodynamic potentials: Gibbs free energy; per molecule and per unit volume thermodynamic potentials.
First order phase transitions: experimental observations; thermodynamic phases; free energy per unit volume; conditions for phase separation; local and global stability of a thermodynamic phase; graphical representation.
Molecular interactions: hard-core repulsion; Van der Waals attraction; induced dipole; electronic and dipole polarizability; estimations of Van der Waals attraction for simple molecules; Lennard-Jones potential.
Incorporation of molecular interactions into free energy: phase coexistence; common tangent construction; phase diagrams; spinodal and binodal lines; critical temperature; Clausius-Clapeyron equation.
Van der Waals gas: free energy; pressure; spinodal; critical point; estimations of critical temperature; approximation of binodal far from the critical point.
Van der Waals gas near the critical point: free energy; binodal line; first and second-order phase transition; critical opalescence; nucleation and growth; surface energy; critical nucleous.
Ferromagnet-paramagnet second-order phase transition; Landau theory of phase transitions.
Kinetic theory of gases: characteristic velocities; kinetic derivation of pressure of ideal gas;  Maxwell distribution of velocities.
Diffusion and random walks on a lattice model: mean-square displacement; diffusion coefficient; the diffusion equation for random walks; diffusion as transport phenomenon; derivation of Fick's laws from microscopic considerations; self- diffusion and collective diffusion coefficients.
Diffusion in gas: random walks; distribution of free paths; mean free path; mean square displacement of a molecule; self-diffusion coefficient; diffusion in concentration gradient; derivation of Fick's laws; equivalence of self-diffusion and collective diffusion coefficients for gases.
Other linear transport phenomena in gases: heat conductivity; Fourier law; thermalization;

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